{"id":57186,"date":"2025-08-15T08:50:00","date_gmt":"2025-08-15T00:50:00","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/57186.html"},"modified":"2025-08-15T08:50:00","modified_gmt":"2025-08-15T00:50:00","slug":"matlib%e5%ad%a6%e4%b9%a0%e6%96%87%e6%a1%a3%ef%bc%88%e5%9b%9b%ef%bc%89","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/57186.html","title":{"rendered":"MATLIB\u5b66\u4e60\u6587\u6863\uff08\u56db\uff09"},"content":{"rendered":"

\u76ee\u5f55<\/span><\/p>\n

4.3 MATLAB\u4e2d\u7684\u77e9\u9635<\/span><\/span><\/p>\n

4.4.1 \u77e9\u9635\u7684\u521b\u5efa\u65b9\u6cd5<\/span><\/span><\/p>\n

\u76f4\u63a5\u8f93\u5165\u6cd5<\/span><\/span><\/p>\n

\u8bed\u6cd5\u89c4\u5219<\/span><\/p>\n

\u4ee3\u7801\u793a\u4f8b<\/span><\/p>\n

\u5173\u952e\u70b9<\/span><\/p>\n

\u5185\u7f6e\u51fd\u6570\u521b\u5efa\u6cd5<\/span><\/span><\/p>\n

\u5168\u96f6\u77e9\u9635 (zeros)<\/span><\/p>\n

\u5168\u4e00\u77e9\u9635 (ones)<\/span><\/p>\n

\u5355\u4f4d\u77e9\u9635 (eye)<\/span><\/p>\n

\u968f\u673a\u77e9\u9635<\/span><\/p>\n

\u6807\u91cf\u586b\u5145\u77e9\u9635 (fill \/ \u6807\u91cf\u6269\u5c55)<\/span><\/span><\/p>\n

\u77e9\u9635\u62fc\u63a5\u6cd5<\/span><\/span><\/p>\n

\u6c34\u5e73\u62fc\u63a5<\/span><\/p>\n

\u5782\u76f4\u62fc\u63a5<\/span><\/p>\n

\u6ce8\u610f\u4e8b\u9879<\/span><\/p>\n

colon \u8fd0\u7b97\u7b26\u4e0e linspace \u51fd\u6570<\/span><\/span><\/p>\n

colon \u8fd0\u7b97\u7b26 (:)<\/span><\/p>\n

linspace \u51fd\u6570<\/span><\/p>\n

\u5173\u952e\u70b9\u5bf9\u6bd4<\/span><\/p>\n

\u7279\u6b8a\u77e9\u9635<\/span><\/span><\/p>\n

\u5bf9\u89d2\u77e9\u9635 (diag)<\/span><\/p>\n

\u5206\u5757\u5bf9\u89d2\u77e9\u9635（blkdiag）<\/span><\/p>\n

\u9b54\u65b9\u77e9\u9635 (magic)<\/span><\/p>\n

\u5e0c\u5c14\u4f2f\u7279\u77e9\u9635 (hilb)<\/span><\/p>\n

\u4ece\u6587\u672c\u6587\u4ef6\u52a0\u8f7d\u77e9\u9635<\/span><\/span><\/p>\n

Load<\/span><\/p>\n

Dlmread<\/span><\/p>\n

Textscan<\/span><\/p>\n

\u4ece Excel \u6587\u4ef6\u52a0\u8f7d<\/span><\/span><\/p>\n

Xlsread<\/span><\/p>\n

Readmatrix<\/span><\/p>\n

4.4.2 \u77e9\u9635\u5143\u7d20\u7684\u5f15\u7528<\/span><\/span><\/p>\n

\u4f4d\u7f6e\u7d22\u5f15<\/span><\/span><\/p>\n

1. \u5355\u4e2a\u5143\u7d20\u5f15\u7528<\/span><\/p>\n

2. \u591a\u4e2a\u5143\u7d20\u5f15\u7528<\/span><\/p>\n

3. \u5192\u53f7\u8fd0\u7b97\u7b26<\/span><\/p>\n

\u903b\u8f91\u7d22\u5f15<\/span><\/span><\/p>\n

1. \u751f\u6210\u903b\u8f91\u7d22\u5f15<\/span><\/p>\n

2. \u76f4\u63a5\u903b\u8f91\u7d22\u5f15<\/span><\/p>\n

\u7ebf\u6027\u7d22\u5f15<\/span><\/span><\/p>\n

1. \u5355\u4e2a\u7ebf\u6027\u7d22\u5f15<\/span><\/p>\n

2. \u7ebf\u6027\u7d22\u5f15\u4e0e\u4f4d\u7f6e\u7d22\u5f15\u7684\u8f6c\u6362<\/span><\/p>\n

\u6ce8\u610f\u4e8b\u9879<\/span><\/p>\n

\u6df7\u5408\u7d22\u5f15<\/span><\/span><\/p>\n

\u603b\u7ed3<\/span><\/p>\n

4.4.3 \u77e9\u9635\u5143\u7d20\u7684\u4fee\u6539\u548c\u5220\u9664<\/span><\/span><\/p>\n

\u77e9\u9635\u5143\u7d20\u7684\u4fee\u6539<\/span><\/span><\/p>\n

\u00a01. \u4fee\u6539\u5355\u4e2a\u5143\u7d20<\/span><\/p>\n

2. \u4fee\u6539\u591a\u4e2a\u5143\u7d20（\u6279\u91cf\u4fee\u6539）<\/span><\/p>\n

\u77e9\u9635\u5143\u7d20\u7684\u5220\u9664<\/span><\/span><\/p>\n

1. \u5220\u9664\u884c<\/span><\/p>\n

2. \u5220\u9664\u5217<\/span><\/p>\n

3. \u5220\u9664\u6ee1\u8db3\u7279\u5b9a\u6761\u4ef6\u7684\u884c（\u9ad8\u7ea7\u6280\u5de7）<\/span><\/p>\n

\u6ce8\u610f\u4e8b\u9879<\/span><\/p>\n

\u603b\u7ed3<\/span><\/p>\n

4.4.4 \u77e9\u9635\u7684\u62fc\u63a5\u548c\u91cd\u590d<\/span><\/span><\/p>\n

\u77e9\u9635\u7684\u62fc\u63a5<\/span><\/span><\/p>\n

1. \u6c34\u5e73\u62fc\u63a5<\/span><\/p>\n

2. \u5782\u76f4\u62fc\u63a5<\/span><\/p>\n

3. \u591a\u7ef4\u77e9\u9635\u7684\u62fc\u63a5<\/span><\/p>\n

\u77e9\u9635\u7684\u91cd\u590d<\/span><\/span><\/p>\n

1. repmat \u51fd\u6570<\/span><\/p>\n

2. kron \u51fd\u6570<\/span><\/p>\n

repmat VS kron：<\/span><\/p>\n

3. \u5229\u7528\u7d22\u5f15\u8fdb\u884c\u91cd\u590d（\u9ad8\u7ea7\u6280\u5de7）<\/span><\/p>\n

\u603b\u7ed3<\/span><\/p>\n

4.4.5 \u77e9\u9635\u7684\u91cd\u6784\u548c\u91cd\u65b0\u6392\u5217<\/span><\/span><\/p>\n

\u77e9\u9635\u7684\u91cd\u6784<\/span><\/span><\/p>\n

1. reshape – \u6838\u5fc3\u91cd\u6784\u51fd\u6570<\/span><\/p>\n

2. permute – \u7ef4\u5ea6\u7f6e\u6362<\/span><\/p>\n

3. squeeze – \u79fb\u9664\u5355\u4e00\u7ef4\u5ea6<\/span><\/p>\n

4. shiftdim – \u7ef4\u5ea6\u5faa\u73af\u79fb\u4f4d<\/span><\/p>\n

\u77e9\u9635\u7684\u91cd\u65b0\u6392\u5217<\/span><\/span><\/p>\n

1. \u8f6c\u7f6e ' \u548c .'<\/span><\/p>\n

2. flip \u7cfb\u5217\u51fd\u6570 – \u7ffb\u8f6c<\/span><\/p>\n

3. rot90 – \u65cb\u8f6c<\/span><\/p>\n

4. sort \u548c sortrows – \u6392\u5e8f<\/span><\/p>\n

\u603b\u7ed3<\/span><\/p>\n

\n

4.3 MATLAB\u4e2d\u7684\u77e9\u9635<\/span><\/h3>\n

4.4.1 \u77e9\u9635\u7684\u521b\u5efa\u65b9\u6cd5<\/span><\/h4>\n
\u76f4\u63a5\u8f93\u5165\u6cd5<\/span><\/h5>\n

\u8fd9\u662f\u6700\u7b80\u5355\u76f4\u63a5\u7684\u65b9\u5f0f，\u9002\u7528\u4e8e\u521b\u5efa\u5c0f\u578b\u3001\u5143\u7d20\u5df2\u77e5\u7684\u77e9\u9635\u3002<\/p>\n

\u8bed\u6cd5\u89c4\u5219<\/h6>\n

\u77e9\u9635\u5143\u7d20\u7528\u65b9\u62ec\u53f7 [ ] \u62ec\u8d77\u6765\u3002<\/p>\n

\u540c\u4e00\u884c\u5185\u7684\u5143\u7d20\u7528\u7a7a\u683c\u6216\u9017\u53f7 , \u5206\u9694\u3002<\/p>\n

\u4e0d\u540c\u884c\u4e4b\u95f4\u7528\u5206\u53f7 ; \u6216\u8005\u56de\u8f66\u952e\u5206\u9694\u3002<\/p>\n

\u4ee3\u7801\u793a\u4f8b<\/h6>\n

% \u521b\u5efa\u4e00\u4e2a 2×3 \u7684\u77e9\u9635 A<\/p>\n

% \u65b9\u6cd5\u4e00：\u4f7f\u7528\u7a7a\u683c\u548c\u5206\u53f7<\/p>\n

A = [1 2 3; 4 5 6]<\/p>\n

% \u65b9\u6cd5\u4e8c：\u4f7f\u7528\u9017\u53f7\u548c\u5206\u53f7（\u6548\u679c\u76f8\u540c）<\/p>\n

B = [1, 2, 3; 4, 5, 6]<\/p>\n

% \u521b\u5efa\u4e00\u4e2a\u884c\u5411\u91cf (1×4 \u77e9\u9635)<\/p>\n

row_vector = [10 20 30 40]<\/p>\n

% \u521b\u5efa\u4e00\u4e2a\u5217\u5411\u91cf (3×1 \u77e9\u9635)<\/p>\n

col_vector = [100; 200; 300]<\/p>\n

% \u521b\u5efa\u4e00\u4e2a\u6807\u91cf (1×1 \u77e9\u9635)<\/p>\n

scalar = 42 <\/p>\n

\u5173\u952e\u70b9<\/h6>\n

\u5728\u76f4\u63a5\u8f93\u5165\u65f6，\u5fc5\u987b\u786e\u4fdd\u6bcf\u4e00\u884c\u7684\u5143\u7d20\u6570\u91cf\u76f8\u540c，\u5426\u5219 MATLAB \u4f1a\u62a5\u9519\u3002<\/p>\n

\u5bf9\u4e8e\u5927\u578b\u77e9\u9635，\u76f4\u63a5\u8f93\u5165\u6cd5\u5bb9\u6613\u51fa\u9519\u4e14\u53ef\u8bfb\u6027\u5dee，\u5e94\u4f18\u5148\u8003\u8651\u5176\u4ed6\u65b9\u6cd5\u3002<\/p>\n

\u5185\u7f6e\u51fd\u6570\u521b\u5efa\u6cd5<\/span><\/h5>\n

MATLAB \u63d0\u4f9b\u4e86\u5927\u91cf\u5185\u7f6e\u51fd\u6570，\u7528\u4e8e\u5feb\u901f\u751f\u6210\u5177\u6709\u7279\u5b9a\u5c5e\u6027\u7684\u77e9\u9635，\u8fd9\u5728\u7f16\u7a0b\u548c\u7b97\u6cd5\u5b9e\u73b0\u4e2d\u6781\u4e3a\u5e38\u7528\u3002<\/p>\n

\u5168\u96f6\u77e9\u9635 (zeros)<\/h6>\n

\u521b\u5efa\u6240\u6709\u5143\u7d20\u5747\u4e3a 0 \u7684\u77e9\u9635\u3002<\/p>\n

% \u521b\u5efa\u4e00\u4e2a 3×4 \u7684\u5168\u96f6\u77e9\u9635<\/p>\n

Z1 = zeros(3, 4);<\/p>\n

% \u521b\u5efa\u4e00\u4e2a\u4e0e\u77e9\u9635 A \u5927\u5c0f\u76f8\u540c\u7684\u5168\u96f6\u77e9\u9635<\/p>\n

A = [1 2; 3 4];<\/p>\n

Z2 = zeros(size(A)); % \u975e\u5e38\u5b9e\u7528，\u7528\u4e8e\u521d\u59cb\u5316 <\/p>\n

\u5168\u4e00\u77e9\u9635 (ones)<\/h6>\n

\u521b\u5efa\u6240\u6709\u5143\u7d20\u5747\u4e3a 1 \u7684\u77e9\u9635\u3002<\/p>\n

% \u521b\u5efa\u4e00\u4e2a 2×5 \u7684\u5168\u4e00\u77e9\u9635<\/p>\n

O1 = ones(2, 5);<\/p>\n

% \u521b\u5efa\u4e00\u4e2a\u4e0e\u5411\u91cf v \u5927\u5c0f\u76f8\u540c\u7684\u5168\u4e00\u884c\u5411\u91cf<\/p>\n

v = [1, 2, 3];<\/p>\n

O2 = ones(size(v)); <\/p>\n

\u5355\u4f4d\u77e9\u9635 (eye)<\/h6>\n

\u521b\u5efa\u4e3b\u5bf9\u89d2\u7ebf\u4e3a 1，\u5176\u4f59\u4e3a 0 \u7684\u65b9\u9635\u3002<\/p>\n

% \u521b\u5efa\u4e00\u4e2a 4×4 \u7684\u5355\u4f4d\u77e9\u9635<\/p>\n

I1 = eye(4);<\/p>\n

% eye(m, n) \u53ef\u4ee5\u521b\u5efa m x n \u7684\u975e\u65b9\u9635，\u4e3b\u5bf9\u89d2\u7ebf\u4e3a 1<\/p>\n

I2 = eye(3, 5); <\/p>\n

\u968f\u673a\u77e9\u9635<\/h6>\n

\u5747\u5300\u5206\u5e03\u968f\u673a\u77e9\u9635 (rand)<\/p>\n

\u751f\u6210\u4e00\u4e2a\u77e9\u9635，\u5176\u5143\u7d20\u5728 (0, 1) \u533a\u95f4\u5185\u5747\u5300\u5206\u5e03\u3002<\/p>\n

% \u521b\u5efa\u4e00\u4e2a 5×5 \u7684\u5747\u5300\u5206\u5e03\u968f\u673a\u77e9\u9635<\/p>\n

R1 = rand(5);<\/p>\n

% \u521b\u5efa\u4e00\u4e2a 2×3 \u7684\u5747\u5300\u5206\u5e03\u968f\u673a\u77e9\u9635<\/p>\n

R2 = rand(2, 3); <\/p>\n

\u6807\u51c6\u6b63\u6001\u5206\u5e03\u968f\u673a\u77e9\u9635 (randn)<\/p>\n

\u751f\u6210\u4e00\u4e2a\u77e9\u9635，\u5176\u5143\u7d20\u670d\u4ece\u5747\u503c\u4e3a 0，\u6807\u51c6\u5dee\u4e3a 1 \u7684\u6807\u51c6\u6b63\u6001\u5206\u5e03\u3002<\/p>\n

% \u521b\u5efa\u4e00\u4e2a 1000×1 \u7684\u6807\u51c6\u6b63\u6001\u5206\u5e03\u968f\u673a\u5411\u91cf（\u5e38\u7528\u4e8e\u6a21\u62df）<\/p>\n

N1 = randn(1000, 1);<\/p>\n

% \u521b\u5efa\u4e00\u4e2a 3×3 \u7684\u6807\u51c6\u6b63\u6001\u5206\u5e03\u968f\u673a\u77e9\u9635<\/p>\n

N2 = randn(3); <\/p>\n

\u968f\u673a\u6574\u6570\u77e9\u9635 (randi)<\/p>\n

\u751f\u6210\u4e00\u4e2a\u77e9\u9635，\u5176\u5143\u7d20\u4e3a\u6307\u5b9a\u8303\u56f4\u5185\u7684\u5747\u5300\u5206\u5e03\u7684\u968f\u673a\u6574\u6570\u3002<\/p>\n

% \u751f\u6210\u4e00\u4e2a 2×4 \u7684\u77e9\u9635，\u5143\u7d20\u4e3a 1 \u5230 10 \u4e4b\u95f4\u7684\u968f\u673a\u6574\u6570<\/p>\n

RI1 = randi(10, 2, 4);<\/p>\n

%\u5f00\u5934\u662f1\u53ef\u4ee5\u7701\u7565randi([1,10],2,4)\u4e0eRI1 = randi(10, 2, 4)\u4e00\u81f4<\/p>\n

% \u751f\u6210\u4e00\u4e2a 3×3 \u7684\u77e9\u9635，\u5143\u7d20\u4e3a -5 \u5230 5 \u4e4b\u95f4\u7684\u968f\u673a\u6574\u6570<\/p>\n

RI2 = randi([-5, 5], 3); <\/p>\n

\u6807\u91cf\u586b\u5145\u77e9\u9635 (fill \/ \u6807\u91cf\u6269\u5c55)<\/span><\/h5>\n

\u867d\u7136 fill \u4e0d\u662f\u6807\u51c6\u51fd\u6570\u540d，\u4f46 MATLAB \u7684\u6807\u91cf\u6269\u5c55\u529f\u80fd\u53ef\u4ee5\u8f7b\u677e\u5b9e\u73b0\u3002\u5c06\u4e00\u4e2a\u6807\u91cf\u4e0e\u4e00\u4e2a\u5168\u4e00\u77e9\u9635\u76f8\u4e58\u5373\u53ef\u3002<\/p>\n

% \u521b\u5efa\u4e00\u4e2a 3×3 \u7684，\u6240\u6709\u5143\u7d20\u90fd\u662f 7 \u7684\u77e9\u9635<\/p>\n

val = 7;<\/p>\n

rows = 3;<\/p>\n

cols = 3;<\/p>\n

F = val * ones(rows, cols); <\/p>\n

\u77e9\u9635\u62fc\u63a5\u6cd5<\/span><\/h5>\n

\u901a\u8fc7\u5c06\u5df2\u6709\u7684\u77e9\u9635（\u6216\u5411\u91cf）\u6c34\u5e73\u6216\u5782\u76f4\u5730\u8fde\u63a5\u8d77\u6765，\u5f62\u6210\u65b0\u7684\u3001\u66f4\u5927\u7684\u77e9\u9635\u3002<\/p>\n

\u6c34\u5e73\u62fc\u63a5<\/h6>\n

\u4f7f\u7528\u7a7a\u683c\u6216\u9017\u53f7 , \u4f5c\u4e3a\u5206\u9694\u7b26\u3002<\/p>\n

\u6ce8\u610f：\u8981\u6c42\u6240\u6709\u53c2\u4e0e\u62fc\u63a5\u7684\u77e9\u9635\u884c\u6570\u5fc5\u987b\u76f8\u540c\u3002<\/p>\n

A = [1 2; 3 4];<\/p>\n

B = [5 6; 7 8];<\/p>\n

% \u6c34\u5e73\u62fc\u63a5 A \u548c B<\/p>\n

C_horiz = [A, B]\u00a0 % \u6216 C_horiz = [A B]<\/p>\n

% \u7ed3\u679c:<\/p>\n

% C_horiz =<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0 6<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0 7\u00a0\u00a0\u00a0\u00a0 8 <\/p>\n

\u5782\u76f4\u62fc\u63a5<\/h6>\n

\u4f7f\u7528\u5206\u53f7 ; \u6216\u8005\u8f93\u5165\u56de\u8f66\u952e\u4f5c\u4e3a\u5206\u9694\u7b26\u3002<\/p>\n

\u6ce8\u610f，\u8981\u6c42\u6240\u6709\u53c2\u4e0e\u62fc\u63a5\u7684\u77e9\u9635\u5217\u6570\u5fc5\u987b\u76f8\u540c\u3002<\/p>\n

A = [1 2; 3 4];<\/p>\n

D = [9 10; 11 12];<\/p>\n

% \u5782\u76f4\u62fc\u63a5 A \u548c D<\/p>\n

C_vert = [A; D]<\/p>\n

% \u7ed3\u679c:<\/p>\n

% C_vert =<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 2<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 4<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 9\u00a0\u00a0\u00a0 10<\/p>\n

%\u00a0\u00a0\u00a0\u00a0 11\u00a0\u00a0\u00a0 12 <\/p>\n

\u6ce8\u610f\u4e8b\u9879<\/h6>\n

\u62fc\u63a5\u65f6，\u5fc5\u987b\u4e25\u683c\u9075\u5b88\u201c\u6c34\u5e73\u62fc\u63a5\u884c\u6570\u76f8\u540c，\u5782\u76f4\u62fc\u63a5\u5217\u6570\u76f8\u540c\u201d\u7684\u89c4\u5219，\u5426\u5219\u4f1a\u62a5 "Dimensions of arrays being concatenated are not consistent" \u9519\u8bef\u3002<\/p>\n

MATLAB \u8fd8\u63d0\u4f9b\u4e86 cat \u51fd\u6570，\u53ef\u4ee5\u6307\u5b9a\u6cbf\u54ea\u4e2a\u7ef4\u5ea6\u8fdb\u884c\u62fc\u63a5，horzcat (\u6c34\u5e73\u62fc\u63a5) \u548c vertcat (\u5782\u76f4\u62fc\u63a5) \u662f\u5176\u7279\u4f8b\u3002<\/p>\n

\"\"<\/p>\n

% \u4f7f\u7528 cat \u51fd\u6570\u8fdb\u884c\u62fc\u63a5<\/p>\n

% dim=1 \u8868\u793a\u5782\u76f4\u62fc\u63a5，dim=2 \u8868\u793a\u6c34\u5e73\u62fc\u63a5<\/p>\n

C_cat1 = cat(1, A, D); % \u7b49\u540c\u4e8e [A; D]<\/p>\n

C_cat2 = cat(2, A, B); % \u7b49\u540c\u4e8e [A, B] <\/p>\n

colon \u8fd0\u7b97\u7b26\u4e0e linspace \u51fd\u6570<\/span><\/h5>\n

\u8fd9\u4e24\u79cd\u65b9\u6cd5\u4e3b\u8981\u7528\u4e8e\u521b\u5efa\u7b49\u5dee\u5e8f\u5217\u5411\u91cf，\u662f\u521b\u5efa\u89c4\u5f8b\u77e9\u9635\u7684\u57fa\u7840\u3002<\/p>\n

colon \u8fd0\u7b97\u7b26 (:)<\/h6>\n

\u8fd9\u662f MATLAB \u4e2d\u6700\u5f3a\u5927\u548c\u5e38\u7528\u7684\u8fd0\u7b97\u7b26\u4e4b\u4e00\u3002<\/p>\n

\u8bed\u6cd5 1: start:end<\/span><\/p>\n

\u521b\u5efa\u4ece start \u5230 end，\u6b65\u957f\u4e3a 1 \u7684\u884c\u5411\u91cf\u3002<\/p>\n

v1 = 1:5\u00a0 % \u7ed3\u679c: [1 2 3 4 5]<\/p>\n

v2 = 10:14 % \u7ed3\u679c: [10 11 12 13 14] <\/p>\n

\u8bed\u6cd5 2: start:step:end<\/span><\/p>\n

\u521b\u5efa\u4ece start \u5230 （\u5c0f\u4e8e\u7b49\u4e8e）end，\u6b65\u957f\u4e3a step \u7684\u884c\u5411\u91cf\u3002<\/p>\n

% \u6b65\u957f\u4e3a 2<\/p>\n

v3 = 1:2:10 % \u7ed3\u679c: [1 3 5 7 9]<\/p>\n

% \u6b65\u957f\u4e3a\u8d1f\u6570（\u9012\u51cf\u5e8f\u5217）<\/p>\n

v4 = 10:-1:1 % \u7ed3\u679c: [10 9 8 7 6 5 4 3 2 1]<\/p>\n

% \u6b65\u957f\u4e3a\u5c0f\u6570<\/p>\n

v5 = 0:0.2:1 % \u7ed3\u679c: [0 0.2 0.4 0.6 0.8 1.0] <\/p>\n

linspace \u51fd\u6570<\/h6>\n

\u521b\u5efa\u4e00\u4e2a\u5305\u542b\u6307\u5b9a\u6570\u91cf\u5143\u7d20\u7684\u7ebf\u6027\u7b49\u5206\u884c\u5411\u91cf\u3002<\/p>\n

\u5f53\u5173\u5fc3\u70b9\u7684\u6570\u91cf\u800c\u4e0d\u662f\u6b65\u957f\u65f6，linspace \u975e\u5e38\u6709\u7528\u3002<\/p>\n

\u8bed\u6cd5: linspace(start, end, n)<\/span><\/p>\n

\u521b\u5efa\u4ece start \u5230 end，\u5305\u542b n \u4e2a\u70b9\u7684\u884c\u5411\u91cf\u3002<\/p>\n

\u6ce8\u610f：n \u662f\u53ef\u9009\u7684，\u9ed8\u8ba4\u503c\u4e3a 100\u3002<\/p>\n

% \u521b\u5efa\u4ece 0 \u5230 2*pi，\u5305\u542b 100 \u4e2a\u70b9\u7684\u5411\u91cf（\u5e38\u7528\u4e8e\u7ed8\u56fe）<\/p>\n

x = linspace(0, 2*pi);<\/p>\n

% \u521b\u5efa\u4ece 1 \u5230 10，\u5305\u542b 5 \u4e2a\u70b9\u7684\u5411\u91cf<\/p>\n

y = linspace(1, 10, 5) % \u7ed3\u679c: [1 3.25 5.5 7.75 10] <\/p>\n

\u5173\u952e\u70b9\u5bf9\u6bd4<\/h6>\n\n\n\n\n\n\n
\n

\u7279\u6027<\/span><\/p>\n<\/td>\n

\n

start:step:end<\/span><\/p>\n<\/td>\n

\n

linspace(start, end, n)<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u63a7\u5236\u6838\u5fc3<\/span><\/p>\n<\/td>\n

\n

\u6b65\u957f<\/span>(<\/span>step<\/span>)<\/span><\/p>\n<\/td>\n

\n

\u5143\u7d20\u6570\u91cf<\/span>(<\/span>n<\/span>)<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u5305\u542b\u7ec8\u70b9<\/span><\/p>\n<\/td>\n

\n

\u4e0d\u4e00\u5b9a，\u53d6\u51b3\u4e8e<\/span>step<\/span>\u548c<\/span>end<\/span>\u7684\u8ba1\u7b97<\/span><\/p>\n<\/td>\n

\n

\u603b\u662f\u5305\u542b<\/span>start<\/span>\u548c<\/span>end<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u9002\u7528\u573a\u666f<\/span><\/p>\n<\/td>\n

\n

\u5df2\u77e5\u6b65\u957f，\u5982\u6574\u6570\u5e8f\u5217\u3001\u65f6\u95f4\u6b65\u957f<\/span><\/p>\n<\/td>\n

\n

\u5df2\u77e5\u533a\u95f4\u548c\u91c7\u6837\u70b9\u6570，\u5982\u51fd\u6570\u7ed8\u56fe\u3001\u4fe1\u53f7\u5904\u7406<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u7279\u6b8a\u77e9\u9635<\/span><\/h5>\n
\u5bf9\u89d2\u77e9\u9635 (diag)<\/h6>\n

diag \u51fd\u6570\u65e2\u53ef\u4ee5\u4ece\u5411\u91cf\u521b\u5efa\u5bf9\u89d2\u77e9\u9635，\u4e5f\u53ef\u4ee5\u4ece\u77e9\u9635\u4e2d\u63d0\u53d6\u5bf9\u89d2\u7ebf\u5143\u7d20\u3002<\/p>\n

\u8bed\u6cd5: diag(k)<\/span> k=0: \u4e3b\u5bf9\u89d2\u7ebf (\u9ed8\u8ba4)<\/p>\n

k>0: \u4e3b\u5bf9\u89d2\u7ebf\u4e0a\u65b9\u7684\u7b2c k \u6761\u5bf9\u89d2\u7ebf<\/p>\n

k<0: \u4e3b\u5bf9\u89d2\u7ebf\u4e0b\u65b9\u7684\u7b2c k \u6761\u5bf9\u89d2\u7ebf<\/p>\n

% \u4ece\u5411\u91cf\u521b\u5efa\u5bf9\u89d2\u77e9\u9635<\/p>\n

v = [1, 2, 3];<\/p>\n

D1 = diag(v) % \u521b\u5efa\u4e00\u4e2a\u4e3b\u5bf9\u89d2\u7ebf\u4e3a v \u7684 3×3 \u77e9\u9635<\/p>\n

% \u4ece\u77e9\u9635\u63d0\u53d6\u5bf9\u89d2\u7ebf<\/p>\n

A = [1 2 3; 4 5 6; 7 8 9];<\/p>\n

d = diag(A) % \u63d0\u53d6 A \u7684\u4e3b\u5bf9\u89d2\u7ebf，\u7ed3\u679c\u4e3a [1; 5; 9]<\/p>\n

% \u521b\u5efa\u5e26\u504f\u79fb\u7684\u5bf9\u89d2\u77e9\u9635<\/p>\n

D2 = diag(v, 1) % \u5c06 v \u653e\u5728\u4e3b\u5bf9\u89d2\u7ebf\u4e0a\u65b9\u7b2c\u4e00\u6761\u5bf9\u89d2\u7ebf\u4e0a <\/p>\n

\u5206\u5757\u5bf9\u89d2\u77e9\u9635（blkdiag）<\/h6>\n

\u4e00\u4e2a\u5206\u5757\u5bf9\u89d2\u77e9\u9635：<\/p>\n

[ A\u00a0 0\u00a0 0\u00a0 … ]<\/p>\n

[ 0\u00a0 B\u00a0 0\u00a0 … ]<\/p>\n

[ 0\u00a0 0\u00a0 C\u00a0 … ]<\/p>\n

[ …\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 ]<\/p>\n

\u5176\u4e2d，A, B, C \u7b49\u662f\u77e9\u9635（\u79f0\u4e3a\u201c\u5757\u201d），\u800c 0 \u4ee3\u8868\u76f8\u5e94\u5927\u5c0f\u7684\u96f6\u77e9\u9635\u3002blkdiag() \u51fd\u6570\u5c31\u662f\u4e13\u95e8\u7528\u6765\u6784\u9020\u8fd9\u79cd\u7279\u6b8a\u7ed3\u6784\u7684\u77e9\u9635\u7684\u3002<\/p>\n

Y = blkdiag(A, B, C, …)<\/span><\/p>\n

\u8f93\u5165\u53c2\u6570：A, B, C, \u2026 \u53ef\u4ee5\u662f\u4efb\u610f\u6570\u91cf\u7684\u77e9\u9635\u3001\u5411\u91cf\u6216\u6807\u91cf\u3002\u5b83\u4eec\u4e0d\u8981\u6c42\u5177\u6709\u76f8\u540c\u7684\u7ef4\u5ea6\u3002<\/p>\n

\u793a\u4f8b ：\u57fa\u672c\u7528\u6cd5（\u6807\u91cf\u548c\u77e9\u9635）<\/p>\n

% \u5b9a\u4e49\u8f93\u5165\u77e9\u9635<\/p>\n

A = 1;\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 % \u6807\u91cf (1×1 \u77e9\u9635)<\/p>\n

B = [2, 3; 4, 5]; % 2×2 \u77e9\u9635<\/p>\n

C = [6, 7, 8];\u00a0\u00a0\u00a0 % 1×3 \u884c\u5411\u91cf<\/p>\n

% \u4f7f\u7528 blkdiag \u521b\u5efa\u5206\u5757\u5bf9\u89d2\u77e9\u9635<\/p>\n

Y = blkdiag(A, B, C);<\/p>\n

% \u663e\u793a\u7ed3\u679c<\/p>\n

disp('\u8f93\u5165\u77e9\u9635 A:');<\/p>\n

disp(A);<\/p>\n

disp('\u8f93\u5165\u77e9\u9635 B:');<\/p>\n

disp(B);<\/p>\n

disp('\u8f93\u5165\u77e9\u9635 C:');<\/p>\n

disp(C);<\/p>\n

disp('\u4f7f\u7528 blkdiag(A, B, C) \u751f\u6210\u7684\u77e9\u9635 Y:');<\/p>\n

disp(Y); <\/p>\n

\u8f93\u51fa\u7ed3\u679c：<\/p>\n

%\u8f93\u5165\u77e9\u9635 A:<\/p>\n

\u00a0\u00a0\u00a0\u00a0 1<\/p>\n

%\u8f93\u5165\u77e9\u9635 B:<\/p>\n

\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 3<\/p>\n

\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0 5<\/p>\n

%\u8f93\u5165\u77e9\u9635 C:<\/p>\n

\u00a0\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0\u00a0 7\u00a0\u00a0\u00a0\u00a0 8<\/p>\n

%\u4f7f\u7528 blkdiag(A, B, C) \u751f\u6210\u7684\u77e9\u9635 Y:<\/p>\n

\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0 0<\/p>\n

\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0 0<\/p>\n

\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0 0<\/p>\n

\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0\u00a0 7\u00a0\u00a0\u00a0\u00a0 8 <\/p>\n

\u9b54\u65b9\u77e9\u9635 (magic)<\/h6>\n

\u521b\u5efa\u4e00\u4e2a n x n \u7684\u77e9\u9635，\u5176\u884c\u3001\u5217\u3001\u4e3b\u5bf9\u89d2\u7ebf\u5143\u7d20\u4e4b\u548c\u90fd\u76f8\u7b49\u3002\u5e38\u7528\u4e8e\u6d4b\u8bd5\u548c\u6f14\u793a\u3002<\/p>\n

M = magic(5) <\/p>\n

\u5e0c\u5c14\u4f2f\u7279\u77e9\u9635 (hilb)<\/h6>\n

\u521b\u5efa\u4e00\u4e2a\u75c5\u6001\u77e9\u9635，\u5e38\u7528\u4e8e\u6d4b\u8bd5\u6570\u503c\u7b97\u6cd5\u7684\u7a33\u5b9a\u6027\u3002<\/p>\n

H = hilb(4) <\/p>\n

\u4ece\u6587\u672c\u6587\u4ef6\u52a0\u8f7d\u77e9\u9635<\/span><\/h5>\n
Load<\/h6>\n

\u6700\u7b80\u5355，\u9002\u7528\u4e8e\u7eaf\u6570\u5b57\u4e14\u683c\u5f0f\u89c4\u6574\u7684 ASCII \u6587\u4ef6（\u5982 .txt, .dat）\u3002\u6587\u4ef6\u4e2d\u7684\u6570\u636e\u4f1a\u4ee5\u77e9\u9635\u5f62\u5f0f\u52a0\u8f7d\u5230\u5de5\u4f5c\u533a，\u53d8\u91cf\u540d\u9ed8\u8ba4\u4e3a\u6587\u4ef6\u540d\u3002<\/p>\n

% \u5047\u8bbe data.txt \u6587\u4ef6\u5185\u5bb9\u4e3a:<\/p>\n

% 1 2 3<\/p>\n

% 4 5 6<\/p>\n

% 7 8 9<\/p>\n

my_matrix = load('data.txt'); <\/p>\n

Dlmread<\/h6>\n

\u529f\u80fd\u66f4\u7075\u6d3b，\u53ef\u4ee5\u6307\u5b9a\u5206\u9694\u7b26（\u5982\u9017\u53f7\u3001\u5236\u8868\u7b26）\u548c\u8981\u8bfb\u53d6\u7684\u8303\u56f4\u3002<\/p>\n

% \u4ece\u9017\u53f7\u5206\u9694\u7684\u6587\u4ef6\u4e2d\u8bfb\u53d6\u6570\u636e<\/p>\n

M = dlmread('data.csv', ','); <\/p>\n

Textscan<\/h6>\n

\u529f\u80fd\u6700\u5f3a\u5927，\u7528\u4e8e\u5904\u7406\u683c\u5f0f\u590d\u6742\u7684\u6587\u672c\u6587\u4ef6（\u5982\u5305\u542b\u6587\u672c\u548c\u6570\u5b57\u6df7\u5408\u7684\u6587\u4ef6），\u9700\u8981\u914d\u5408 fopen \u548c fclose \u4f7f\u7528\u3002<\/p>\n

\u4ece Excel \u6587\u4ef6\u52a0\u8f7d<\/span><\/h5>\n
Xlsread<\/h6>\n

\u4f20\u7edf\u51fd\u6570，\u7528\u4e8e\u4ece Excel \u6587\u4ef6\u4e2d\u8bfb\u53d6\u6570\u503c\u6570\u636e\u3002<\/p>\n

num_data = xlsread('data.xlsx', 'Sheet1', 'B2:D10'); <\/p>\n

Readmatrix<\/h6>\n

\u63a8\u8350\u4f7f\u7528\u7684\u65b0\u51fd\u6570（R2019a \u53ca\u4ee5\u540e），\u529f\u80fd\u66f4\u5f3a\u5927\u3001\u66f4\u4e00\u81f4，\u53ef\u4ee5\u81ea\u52a8\u68c0\u6d4b\u5206\u9694\u7b26\u548c\u6570\u636e\u7c7b\u578b\u3002<\/p>\n

M = readmatrix('data.csv'); <\/p>\n

4.4.2 \u77e9\u9635\u5143\u7d20\u7684\u5f15\u7528<\/span><\/h4>\n
\u4f4d\u7f6e\u7d22\u5f15<\/span><\/h5>\n

\u4f4d\u7f6e\u7d22\u5f15\u662f\u901a\u8fc7\u77e9\u9635\u7684\u884c\u5217\u53f7\u76f4\u63a5\u5f15\u7528\u5143\u7d20\u7684\u65b9\u5f0f\u3002<\/p>\n

MATLAB \u4e2d\u4f7f\u7528\u5706\u62ec\u53f7 () \u8fdb\u884c\u7d22\u5f15，\u7d22\u5f15\u503c\u5fc5\u987b\u4e3a\u6b63\u6574\u6570\u3002(1\u5f00\u59cb)<\/p>\n

1. \u5355\u4e2a\u5143\u7d20\u5f15\u7528<\/h6>\n

\u901a\u8fc7\u6307\u5b9a\u884c\u53f7\u548c\u5217\u53f7\u5f15\u7528\u77e9\u9635\u4e2d\u7684\u5355\u4e2a\u5143\u7d20\u3002<\/p>\n

\u8bed\u6cd5：matrix(row, column)<\/span><\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2; 3, 4];<\/p>\n

disp(A(1, 2)); % \u8f93\u51fa\u7b2c1\u884c\u7b2c2\u5217\u7684\u5143\u7d20，\u7ed3\u679c\u4e3a2 <\/p>\n

2. \u591a\u4e2a\u5143\u7d20\u5f15\u7528<\/h6>\n

\u53ef\u4ee5\u901a\u8fc7\u5411\u91cf\u7684\u5f62\u5f0f\u6307\u5b9a\u591a\u4e2a\u884c\u6216\u5217\u7684\u7d22\u5f15，\u4ece\u800c\u5f15\u7528\u77e9\u9635\u7684\u5b50\u77e9\u9635\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2, 3; 4, 5, 6; 7, 8, 9];<\/p>\n

disp(A(1:2, 2:3)); % \u8f93\u51fa\u7b2c1\u52302\u884c\u3001\u7b2c2\u52303\u5217\u7684\u5b50\u77e9\u9635 <\/p>\n

3. \u5192\u53f7\u8fd0\u7b97\u7b26<\/h6>\n

\u5192\u53f7 : \u8868\u793a\u6240\u6709\u884c\u6216\u6240\u6709\u5217\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2, 3; 4, 5, 6; 7, 8, 9];<\/p>\n

disp(A(:, 2)); % \u8f93\u51fa\u7b2c2\u5217\u7684\u6240\u6709\u5143\u7d20 <\/p>\n

\u903b\u8f91\u7d22\u5f15<\/span><\/h5>\n

\u903b\u8f91\u7d22\u5f15\u662f\u901a\u8fc7\u903b\u8f91\u6761\u4ef6\u7b5b\u9009\u77e9\u9635\u5143\u7d20\u7684\u65b9\u5f0f，\u5e38\u7528\u4e8e\u6761\u4ef6\u5224\u65ad\u548c\u7b5b\u9009\u3002<\/p>\n

1. \u751f\u6210\u903b\u8f91\u7d22\u5f15<\/h6>\n

\u4f7f\u7528\u903b\u8f91\u8868\u8fbe\u5f0f\u751f\u6210\u4e0e\u77e9\u9635\u7ef4\u5ea6\u76f8\u540c\u7684\u903b\u8f91\u77e9\u9635\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2, 3; 4, 5, 6; 7, 8, 9];<\/p>\n

logicalIndex = A > 5; % \u751f\u6210\u903b\u8f91\u77e9\u9635，\u6807\u8bb0\u5927\u4e8e5\u7684\u5143\u7d20<\/p>\n

disp(A(logicalIndex)); % \u8f93\u51fa\u6ee1\u8db3\u6761\u4ef6\u7684\u5143\u7d20 <\/p>\n

2. \u76f4\u63a5\u903b\u8f91\u7d22\u5f15<\/h6>\n

\u76f4\u63a5\u5728\u7d22\u5f15\u4e2d\u4f7f\u7528\u903b\u8f91\u8868\u8fbe\u5f0f\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2, 3; 4, 5, 6; 7, 8, 9];<\/p>\n

disp(A(A > 5)); % \u8f93\u51fa\u5927\u4e8e5\u7684\u5143\u7d20 <\/p>\n

\u7ebf\u6027\u7d22\u5f15<\/span><\/h5>\n

\u7ebf\u6027\u7d22\u5f15\u662f\u5c06\u77e9\u9635\u89c6\u4e3a\u4e00\u4e2a\u5217\u5411\u91cf，\u901a\u8fc7\u5355\u4e00\u7d22\u5f15\u503c\u5f15\u7528\u5143\u7d20\u7684\u65b9\u5f0f\u3002<\/p>\n

MATLAB \u6309\u5217\u4f18\u5148\u987a\u5e8f\u5b58\u50a8\u77e9\u9635\u5143\u7d20\u3002<\/p>\n

\"\"<\/p>\n

1. \u5355\u4e2a\u7ebf\u6027\u7d22\u5f15<\/h6>\n

\u901a\u8fc7\u7ebf\u6027\u7d22\u5f15\u5f15\u7528\u77e9\u9635\u4e2d\u7684\u5355\u4e2a\u5143\u7d20\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2; 3, 4];<\/p>\n

disp(A(3)); % \u8f93\u51fa\u7ebf\u6027\u7d22\u5f15\u4e3a3\u7684\u5143\u7d20，\u7ed3\u679c\u4e3a3 <\/p>\n

2. \u7ebf\u6027\u7d22\u5f15\u4e0e\u4f4d\u7f6e\u7d22\u5f15\u7684\u8f6c\u6362<\/h6>\n\n\n\n\n\n
\n

\u51fd\u6570<\/p>\n<\/td>\n

\n

\u529f\u80fd<\/p>\n<\/td>\n

\n

\u9002\u7528\u573a\u666f<\/p>\n<\/td>\n<\/tr>\n

\n

sub2ind<\/p>\n<\/td>\n

\n

\u884c\u5217\u4e0b\u6807 \u2192 \u7ebf\u6027\u7d22\u5f15<\/p>\n<\/td>\n

\n

\u9ad8\u6548\u8bbf\u95ee\u77e9\u9635\u5143\u7d20\u3001\u56fe\u50cf\u5904\u7406<\/p>\n<\/td>\n<\/tr>\n

\n

ind2sub<\/p>\n<\/td>\n

\n

\u7ebf\u6027\u7d22\u5f15 \u2192 \u884c\u5217\u4e0b\u6807<\/p>\n<\/td>\n

\n

\u4ece\u7ebf\u6027\u7d22\u5f15\u8fd8\u539f\u884c\u5217\u5750\u6807<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

sub2ind \u51fd\u6570<\/p>\n

linearIndex = sub2ind(matrixSize, rowSub, colSub)<\/span><\/p>\n

matrixSize：\u77e9\u9635\u7684\u5c3a\u5bf8，\u4f8b\u5982 [m, n] \u8868\u793a\u4e00\u4e2a m\u00d7n \u7684\u77e9\u9635\u3002<\/p>\n

rowSub：\u884c\u4e0b\u6807（\u53ef\u4ee5\u662f\u6807\u91cf\u6216\u5411\u91cf）\u3002<\/p>\n

colSub：\u5217\u4e0b\u6807（\u53ef\u4ee5\u662f\u6807\u91cf\u6216\u5411\u91cf）\u3002<\/p>\n

linearIndex：\u8fd4\u56de\u5bf9\u5e94\u7684\u7ebf\u6027\u7d22\u5f15\u3002<\/p>\n

\u793a\u4f8b<\/p>\n

%\u5047\u8bbe\u6709\u4e00\u4e2a 3\u00d73 \u7684\u77e9\u9635：<\/p>\n

A = [1, 2, 3; 4, 5, 6; 7, 8, 9];<\/p>\n

%\u8ba1\u7b97\u7b2c 2 \u884c\u7b2c 3 \u5217\u7684\u7ebf\u6027\u7d22\u5f15：<\/p>\n

idx = sub2ind([3, 3], 2, 3);<\/p>\n

disp(idx); % \u8f93\u51fa 8 <\/p>\n

ind2sub \u51fd\u6570<\/p>\n

\u00a0[rowSub, colSub] = ind2sub(matrixSize, linearIndex)<\/span><\/p>\n

matrixSize：\u77e9\u9635\u7684\u5c3a\u5bf8，\u4f8b\u5982 [m, n] \u8868\u793a\u4e00\u4e2a m\u00d7n \u7684\u77e9\u9635\u3002<\/p>\n

linearIndex：\u7ebf\u6027\u7d22\u5f15（\u53ef\u4ee5\u662f\u6807\u91cf\u6216\u5411\u91cf）\u3002<\/p>\n

rowSub：\u8fd4\u56de\u5bf9\u5e94\u7684\u884c\u4e0b\u6807\u3002<\/p>\n

colSub：\u8fd4\u56de\u5bf9\u5e94\u7684\u5217\u4e0b\u6807\u3002<\/p>\n

\u793a\u4f8b<\/p>\n

%\u5047\u8bbe\u6709\u4e00\u4e2a 3\u00d73 \u7684\u77e9\u9635：<\/p>\n

A = [1, 2, 3; 4, 5, 6; 7, 8, 9];<\/p>\n

%\u8ba1\u7b97\u7ebf\u6027\u7d22\u5f15 8 \u5bf9\u5e94\u7684\u884c\u5217\u4e0b\u6807：<\/p>\n

[row, col] = ind2sub([3, 3], 8);<\/p>\n

disp([row, col]); % \u8f93\u51fa [2, 3] <\/p>\n

\u6ce8\u610f\u4e8b\u9879<\/h6>\n

\u884c\u5217\u4e0b\u6807\u5fc5\u987b\u5728\u77e9\u9635\u5c3a\u5bf8\u8303\u56f4\u5185，\u5426\u5219\u4f1a\u62a5\u9519\u3002<\/p>\n

\u7ebf\u6027\u7d22\u5f15\u5fc5\u987b\u5728 1 \u5230 numel(A) \u4e4b\u95f4\u3002<\/p>\n

\u6ce8\u610f：length()\u8fd4\u56de\u884c\u548c\u5217\u4e2d\u5143\u7d20\u6570\u91cf\u7684\u6700\u5927\u503cmax(cols,rows)，numel()\u8fd4\u56de\u5143\u7d20\u603b\u6570=cols*rows<\/p>\n

\u5728\u5faa\u73af\u4e2d\u5c3d\u91cf\u4f7f\u7528\u7ebf\u6027\u7d22\u5f15，\u907f\u514d\u9891\u7e41\u8c03\u7528 sub2ind \u6216 ind2sub\u3002<\/p>\n

\u5bf9\u4e8e\u591a\u7ef4\u77e9\u9635，sub2ind \u548c ind2sub \u7684\u8f93\u5165\u548c\u8f93\u51fa\u7ef4\u5ea6\u5fc5\u987b\u5339\u914d\u77e9\u9635\u7684\u7ef4\u5ea6\u3002<\/p>\n

\u6df7\u5408\u7d22\u5f15<\/span><\/h5>\n

\u6df7\u5408\u7d22\u5f15\u7ed3\u5408\u4e86\u4f4d\u7f6e\u7d22\u5f15\u548c\u903b\u8f91\u7d22\u5f15，\u9002\u7528\u4e8e\u66f4\u590d\u6742\u7684\u64cd\u4f5c\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2, 3; 4, 5, 6; 7, 8, 9];<\/p>\n

rows = [1, 3]; % \u6307\u5b9a\u884c<\/p>\n

cols = A(1, \ud83d\ude42 > 1; % \u903b\u8f91\u6761\u4ef6\u6307\u5b9a\u5217<\/p>\n

disp(A(rows, cols)); % \u8f93\u51fa\u6ee1\u8db3\u6761\u4ef6\u7684\u5b50\u77e9\u9635 <\/p>\n

\u603b\u7ed3<\/span><\/h5>\n\n\n\n\n\n\n\n
\n

\u7d22\u5f15\u65b9\u6cd5<\/span><\/p>\n<\/td>\n

\n

\u7279\u70b9<\/span><\/p>\n<\/td>\n

\n

\u9002\u7528\u573a\u666f<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u4f4d\u7f6e\u7d22\u5f15<\/span><\/p>\n<\/td>\n

\n

\u76f4\u63a5\u901a\u8fc7\u884c\u5217\u53f7\u5f15\u7528\u5143\u7d20<\/span><\/p>\n<\/td>\n

\n

\u5df2\u77e5\u884c\u5217\u4f4d\u7f6e，\u64cd\u4f5c\u7b80\u5355\u76f4\u89c2<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u903b\u8f91\u7d22\u5f15<\/span><\/p>\n<\/td>\n

\n

\u901a\u8fc7\u6761\u4ef6\u7b5b\u9009\u5143\u7d20<\/span><\/p>\n<\/td>\n

\n

\u9700\u8981\u6ee1\u8db3\u7279\u5b9a\u6761\u4ef6\u7684\u5143\u7d20\u64cd\u4f5c<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u7ebf\u6027\u7d22\u5f15<\/span><\/p>\n<\/td>\n

\n

\u5c06\u77e9\u9635\u89c6\u4e3a\u5217\u5411\u91cf，\u5355\u4e00\u7d22\u5f15\u5f15\u7528<\/span><\/p>\n<\/td>\n

\n

\u6309\u5217\u4f18\u5148\u987a\u5e8f\u5904\u7406\u77e9\u9635\u5143\u7d20<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u6df7\u5408\u7d22\u5f15<\/span><\/p>\n<\/td>\n

\n

\u7ed3\u5408\u4f4d\u7f6e\u7d22\u5f15\u548c\u903b\u8f91\u7d22\u5f15<\/span><\/p>\n<\/td>\n

\n

\u590d\u6742\u6761\u4ef6\u4e0b\u7684\u77e9\u9635\u64cd\u4f5c<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\n

4.4.3 \u77e9\u9635\u5143\u7d20\u7684\u4fee\u6539\u548c\u5220\u9664<\/span><\/h4>\n
\u77e9\u9635\u5143\u7d20\u7684\u4fee\u6539<\/span><\/h5>\n

\u4fee\u6539\u77e9\u9635\u5143\u7d20\u7684\u6838\u5fc3\u662f\u201c\u5148\u5b9a\u4f4d，\u540e\u8d4b\u503c\u201d<\/p>\n

\u00a01. \u4fee\u6539\u5355\u4e2a\u5143\u7d20<\/h6>\n

matrix(row, col) = new_value<\/span><\/p>\n

new_value \u53ef\u4ee5\u662f\u4e00\u4e2a\u6807\u91cf，\u4e5f\u53ef\u4ee5\u662f\u4e00\u4e2a\u4e0e\u76ee\u6807\u4f4d\u7f6e\u517c\u5bb9\u7684\u503c（\u5bf9\u4e8e\u5355\u4e2a\u5143\u7d20\u4f4d\u7f6e，\u901a\u5e38\u5c31\u662f\u6807\u91cf）\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2, 3; 4, 5, 6; 7, 8, 9];<\/p>\n

disp('\u539f\u59cb\u77e9\u9635 A:');<\/p>\n

disp(A);<\/p>\n

% \u4fee\u6539\u7b2c 2 \u884c\u7b2c 3 \u5217\u7684\u5143\u7d20\u4e3a 99<\/p>\n

A(2, 3) = 99;<\/p>\n

disp('\u4fee\u6539 A(2,3) \u540e\u7684\u77e9\u9635:');<\/p>\n

disp(A); <\/p>\n

\u8f93\u51fa：<\/p>\n

%\u539f\u59cb\u77e9\u9635 A:<\/p>\n

\u00a0\u00a0 1\u00a0\u00a0 2\u00a0\u00a0 3<\/p>\n

\u00a0\u00a0 4\u00a0\u00a0 5\u00a0\u00a0 6<\/p>\n

\u00a0\u00a0 7\u00a0\u00a0 8\u00a0\u00a0 9<\/p>\n

%\u4fee\u6539 A(2,3) \u540e\u7684\u77e9\u9635:<\/p>\n

\u00a0\u00a0 1\u00a0\u00a0 2\u00a0\u00a0 3<\/p>\n

\u00a0\u00a0 4\u00a0\u00a0 5\u00a0 99<\/p>\n

\u00a0\u00a0 7\u00a0\u00a0 8\u00a0\u00a0 9 <\/p>\n

2. \u4fee\u6539\u591a\u4e2a\u5143\u7d20（\u6279\u91cf\u4fee\u6539）<\/h6>\n

matrix(rows, cols) = new_values<\/span><\/p>\n

\u5173\u952e\u70b9：\u8d4b\u503c\u53f3\u4fa7\u7684\u77e9\u9635\u5c3a\u5bf8\u5fc5\u987b\u4e0e\u5de6\u4fa7\u9009\u4e2d\u7684\u5b50\u77e9\u9635\u5c3a\u5bf8\u5b8c\u5168\u4e00\u81f4！<\/p>\n

\u793a\u4f8b：<\/p>\n

A = magic(3); % \u521b\u5efa\u4e00\u4e2a 3×3 \u7684\u9b54\u65b9\u77e9\u9635<\/p>\n

disp('\u539f\u59cb\u9b54\u65b9\u77e9\u9635 A:');<\/p>\n

disp(A);<\/p>\n

% \u4fee\u6539\u7b2c 1 \u884c\u548c\u7b2c 3 \u884c\u7684\u6240\u6709\u5143\u7d20<\/p>\n

% \u5de6\u4fa7\u9009\u4e2d\u4e86\u4e00\u4e2a 2×3 \u7684\u5b50\u77e9\u9635<\/p>\n

% \u53f3\u4fa7\u4e5f\u5fc5\u987b\u662f\u4e00\u4e2a 2×3 \u7684\u77e9\u9635<\/p>\n

A([1, 3], \ud83d\ude42 = [10, 20, 30; 70, 80, 90];<\/p>\n

disp('\u4fee\u6539\u7b2c 1 \u548c 3 \u884c\u540e\u7684\u77e9\u9635:');<\/p>\n

disp(A);<\/p>\n

% \u4fee\u6539\u7b2c 2 \u5217\u7684\u6240\u6709\u5143\u7d20\u4e3a\u4e00\u4e2a\u6807\u91cf\u503c 0<\/p>\n

% MATLAB \u4f1a\u81ea\u52a8\u6269\u5c55（\u6807\u91cf\u6269\u5c55）\u8fd9\u4e2a\u6807\u91cf，\u4ee5\u5339\u914d\u9009\u4e2d\u7684\u533a\u57df<\/p>\n

A(:, 2) = 0;<\/p>\n

disp('\u4fee\u6539\u7b2c 2 \u5217\u4e3a 0 \u540e\u7684\u77e9\u9635:');<\/p>\n

disp(A); <\/p>\n

\u8f93\u51fa：<\/p>\n

%\u539f\u59cb\u9b54\u65b9\u77e9\u9635 A:<\/p>\n

\u00a0\u00a0 8\u00a0\u00a0 1\u00a0\u00a0 6<\/p>\n

\u00a0\u00a0 3\u00a0\u00a0 5\u00a0\u00a0 7<\/p>\n

\u00a0\u00a0 4\u00a0\u00a0 9\u00a0\u00a0 2<\/p>\n

%\u4fee\u6539\u7b2c 1 \u548c 3 \u884c\u540e\u7684\u77e9\u9635:<\/p>\n

\u00a0 10\u00a0 20\u00a0 30<\/p>\n

\u00a0\u00a0 3\u00a0\u00a0 5\u00a0\u00a0 7<\/p>\n

\u00a0 70\u00a0 80\u00a0 90<\/p>\n

%\u4fee\u6539\u7b2c 2 \u5217\u4e3a 0 \u540e\u7684\u77e9\u9635:<\/p>\n

\u00a0 10\u00a0\u00a0 0\u00a0 30<\/p>\n

\u00a0\u00a0 3\u00a0\u00a0 0\u00a0\u00a0 7<\/p>\n

\u00a0 70\u00a0\u00a0 0\u00a0 90 <\/p>\n

matrix(linear_indices) = new_values<\/span><\/p>\n

\u5173\u952e\u70b9： \u53f3\u4fa7\u503c\u7684\u6570\u91cf\u5fc5\u987b\u4e0e linear_indices \u7684\u6570\u91cf\u76f8\u540c\u3002\u540c\u6837\u652f\u6301\u6807\u91cf\u6269\u5c55\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2, 3; 4, 5, 6; 7, 8, 9];<\/p>\n

disp('\u539f\u59cb\u77e9\u9635 A:');<\/p>\n

disp(A);<\/p>\n

% \u4fee\u6539\u7b2c 1\u30014\u30017 \u4e2a\u5143\u7d20（\u5373\u7b2c\u4e00\u5217\u7684\u6240\u6709\u5143\u7d20）<\/p>\n

A([1, 4, 7]) = [100, 400, 700];<\/p>\n

disp('\u4f7f\u7528\u7ebf\u6027\u7d22\u5f15\u4fee\u6539\u7b2c\u4e00\u5217\u540e:');<\/p>\n

disp(A);<\/p>\n

% \u5c06\u6240\u6709\u5927\u4e8e 5 \u7684\u5143\u7d20\u4e58\u4ee5 10<\/p>\n

% \u8fd9\u662f\u903b\u8f91\u7d22\u5f15\u548c\u7ebf\u6027\u7d22\u5f15\u7684\u5de7\u5999\u7ed3\u5408<\/p>\n

A(A > 5) = A(A > 5) * 10;<\/p>\n

disp('\u5c06\u6240\u6709\u5927\u4e8e 5 \u7684\u5143\u7d20\u4e58\u4ee5 10 \u540e:');<\/p>\n

disp(A); <\/p>\n

\u8f93\u51fa：<\/p>\n

%\u539f\u59cb\u77e9\u9635 A:<\/p>\n

\u00a0\u00a0 1\u00a0\u00a0 2\u00a0\u00a0 3<\/p>\n

\u00a0\u00a0 4\u00a0\u00a0 5\u00a0\u00a0 6<\/p>\n

\u00a0\u00a0 7\u00a0\u00a0 8\u00a0\u00a0 9<\/p>\n

%\u4f7f\u7528\u7ebf\u6027\u7d22\u5f15\u4fee\u6539\u7b2c\u4e00\u5217\u540e:<\/p>\n

\u00a0100\u00a0\u00a0 2\u00a0\u00a0 3<\/p>\n

\u00a0400\u00a0\u00a0 5\u00a0\u00a0 6<\/p>\n

\u00a0700\u00a0\u00a0 8\u00a0\u00a0 9<\/p>\n

%\u5c06\u6240\u6709\u5927\u4e8e 5 \u7684\u5143\u7d20\u4e58\u4ee5 10 \u540e:<\/p>\n

\u00a0100\u00a0\u00a0 2\u00a0\u00a0 3<\/p>\n

\u00a0400\u00a0\u00a0 5\u00a0 60<\/p>\n

\u00a0700\u00a0 80\u00a0 90 <\/p>\n

matrix(logical_matrix) = new_values<\/span><\/p>\n

logical_matrix \u5fc5\u987b\u662f\u4e00\u4e2a\u4e0e\u539f\u77e9\u9635\u5c3a\u5bf8\u76f8\u540c\u7684\u903b\u8f91\u77e9\u9635（\u53ea\u5305\u542b true \u548c false）\u3002<\/p>\n

\u8d4b\u503c\u65f6，\u53ea\u6709 logical_matrix \u4e2d\u4e3a true \u7684\u4f4d\u7f6e\u4f1a\u88ab\u4fee\u6539\u3002<\/p>\n

\u53f3\u4fa7\u503c\u7684\u6570\u91cf\u5fc5\u987b\u7b49\u4e8e logical_matrix \u4e2d true \u7684\u6570\u91cf\u3002<\/p>\n

\u540c\u6837\u652f\u6301\u6807\u91cf\u6269\u5c55\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = randi(10, 3, 4); % \u521b\u5efa\u4e00\u4e2a 3×4 \u7684\u968f\u673a\u6574\u6570\u77e9\u9635<\/p>\n

disp('\u539f\u59cb\u968f\u673a\u77e9\u9635 A:');<\/p>\n

disp(A);<\/p>\n

% \u5c06\u6240\u6709\u5076\u6570（\u80fd\u88ab 2 \u6574\u9664\u7684\u6570）\u66ff\u6362\u4e3a -1<\/p>\n

% mod(A, 2) == 0 \u4f1a\u751f\u6210\u4e00\u4e2a\u903b\u8f91\u77e9\u9635<\/p>\n

A(mod(A, 2) == 0) = -1;<\/p>\n

disp('\u5c06\u6240\u6709\u5076\u6570\u66ff\u6362\u4e3a -1 \u540e:');<\/p>\n

disp(A);<\/p>\n

% \u5c06\u77e9\u9635\u4e2d\u6240\u6709 NaN \u503c\u66ff\u6362\u4e3a 0<\/p>\n

B = [1, 2, NaN; 4, NaN, 6; NaN, 8, 9];<\/p>\n

disp('\u5305\u542b NaN \u7684\u77e9\u9635 B:');<\/p>\n

disp(B);<\/p>\n

B(isnan(B)) = 0; % isnan() \u51fd\u6570\u76f4\u63a5\u8fd4\u56de\u903b\u8f91\u77e9\u9635<\/p>\n

disp('\u5c06 NaN \u66ff\u6362\u4e3a 0 \u540e\u7684\u77e9\u9635 B:');<\/p>\n

disp(B); <\/p>\n

\u8f93\u51fa：<\/p>\n

%\u539f\u59cb\u968f\u673a\u77e9\u9635 A:<\/p>\n

\u00a0\u00a0\u00a0 9\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0 5<\/p>\n

\u00a0\u00a0 10\u00a0\u00a0 10\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0 1<\/p>\n

\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0 6\u00a0\u00a0 10\u00a0\u00a0\u00a0 8<\/p>\n

%\u5c06\u6240\u6709\u5076\u6570\u66ff\u6362\u4e3a -1 \u540e:<\/p>\n

\u00a0\u00a0\u00a0 9\u00a0\u00a0 -1\u00a0\u00a0 -1\u00a0\u00a0\u00a0 5<\/p>\n

\u00a0\u00a0 -1\u00a0\u00a0 -1\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0 1<\/p>\n

\u00a0\u00a0 -1\u00a0\u00a0 -1\u00a0\u00a0 -1\u00a0\u00a0 -1<\/p>\n

%\u5305\u542b NaN \u7684\u77e9\u9635 B:<\/p>\n

\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0 2\u00a0 NaN<\/p>\n

\u00a0\u00a0\u00a0 4\u00a0 NaN\u00a0\u00a0\u00a0 6<\/p>\n

\u00a0 NaN\u00a0\u00a0\u00a0 8\u00a0\u00a0\u00a0 9<\/p>\n

%\u5c06 NaN \u66ff\u6362\u4e3a 0 \u540e\u7684\u77e9\u9635 B:<\/p>\n

\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0 0<\/p>\n

\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0 6<\/p>\n

\u00a0\u00a0\u00a0 0\u00a0\u00a0\u00a0 8\u00a0\u00a0\u00a0 9 <\/p>\n

\u77e9\u9635\u5143\u7d20\u7684\u5220\u9664<\/span><\/h5>\n

\u5728 MATLAB \u4e2d，\u4e0d\u80fd\u76f4\u63a5\u5220\u9664\u77e9\u9635\u4e2d\u7684\u201c\u5b64\u5c9b\u201d\u5f0f\u5143\u7d20（\u4f8b\u5982，\u53ea\u5220\u9664 A(2,2)），\u56e0\u4e3a\u8fd9\u4f1a\u7834\u574f\u77e9\u9635\u7684\u77e9\u5f62\u7ed3\u6784\u3002<\/p>\n

\u6ce8\u610f：\u5220\u9664\u64cd\u4f5c\u53ea\u80fd\u9488\u5bf9\u6574\u884c\u6216\u6574\u5217\u8fdb\u884c\u3002<\/p>\n

1. \u5220\u9664\u884c<\/h6>\n

matrix(rows_to_delete, \ud83d\ude42 = []<\/span><\/p>\n

\u5c06\u8981\u5220\u9664\u7684\u884c\u7684\u6240\u6709\u5217\u8d4b\u503c\u4e3a\u7a7a\u77e9\u9635 []\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2, 3; 4, 5, 6; 7, 8, 9];<\/p>\n

disp('\u539f\u59cb\u77e9\u9635 A:');<\/p>\n

disp(A);<\/p>\n

% \u5220\u9664\u7b2c 2 \u884c<\/p>\n

A(2, \ud83d\ude42 = [];<\/p>\n

disp('\u5220\u9664\u7b2c 2 \u884c\u540e\u7684\u77e9\u9635:');<\/p>\n

disp(A); <\/p>\n

\u8f93\u51fa：<\/p>\n

%\u539f\u59cb\u77e9\u9635 A:<\/p>\n

\u00a0\u00a0 1\u00a0\u00a0 2\u00a0\u00a0 3<\/p>\n

\u00a0\u00a0 4\u00a0\u00a0 5\u00a0\u00a0 6<\/p>\n

\u00a0\u00a0 7\u00a0\u00a0 8\u00a0\u00a0 9<\/p>\n

%\u5220\u9664\u7b2c 2 \u884c\u540e\u7684\u77e9\u9635:<\/p>\n

\u00a0\u00a0 1\u00a0\u00a0 2\u00a0\u00a0 3<\/p>\n

\u00a0\u00a0 7\u00a0\u00a0 8\u00a0\u00a0 9 <\/p>\n

2. \u5220\u9664\u5217<\/h6>\n

matrix(:, cols_to_delete) = []<\/span><\/p>\n

\u5c06\u8981\u5220\u9664\u7684\u5217\u7684\u6240\u6709\u884c\u8d4b\u503c\u4e3a\u7a7a\u77e9\u9635 []\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2, 3; 4, 5, 6; 7, 8, 9];<\/p>\n

disp('\u539f\u59cb\u77e9\u9635 A:');<\/p>\n

disp(A);<\/p>\n

% \u5220\u9664\u7b2c 1 \u5217\u548c\u7b2c 3 \u5217<\/p>\n

A(:, [1, 3]) = [];<\/p>\n

disp('\u5220\u9664\u7b2c 1 \u548c 3 \u5217\u540e\u7684\u77e9\u9635:');<\/p>\n

disp(A); <\/p>\n

\u8f93\u51fa：<\/p>\n

%\u539f\u59cb\u77e9\u9635 A:<\/p>\n

\u00a0\u00a0 1\u00a0\u00a0 2\u00a0\u00a0 3<\/p>\n

\u00a0\u00a0 4\u00a0\u00a0 5\u00a0\u00a0 6<\/p>\n

\u00a0\u00a0 7\u00a0\u00a0 8\u00a0\u00a0 9<\/p>\n

%\u5220\u9664\u7b2c 1 \u548c 3 \u5217\u540e\u7684\u77e9\u9635:<\/p>\n

\u00a0\u00a0 2<\/p>\n

\u00a0\u00a0 5<\/p>\n

\u00a0\u00a0 8 <\/p>\n

3. \u5220\u9664\u6ee1\u8db3\u7279\u5b9a\u6761\u4ef6\u7684\u884c（\u9ad8\u7ea7\u6280\u5de7）<\/h6>\n

\u521b\u5efa\u4e00\u4e2a\u903b\u8f91\u5411\u91cf，\u6807\u8bb0\u54ea\u4e9b\u884c\u9700\u8981\u5220\u9664\u3002<\/p>\n

\u4f7f\u7528 ~ (NOT) \u8fd0\u7b97\u7b26\u53cd\u8f6c\u903b\u8f91\u5411\u91cf，\u5f97\u5230\u9700\u8981\u4fdd\u7559\u7684\u884c\u3002<\/p>\n

\u7528\u8fd9\u4e2a\u903b\u8f91\u5411\u91cf\u8fdb\u884c\u7d22\u5f15，\u63d0\u53d6\u51fa\u9700\u8981\u4fdd\u7559\u7684\u884c，\u5f62\u6210\u65b0\u77e9\u9635\u3002<\/p>\n

\u793a\u4f8b：\u5220\u9664\u6240\u6709\u5305\u542b NaN \u7684\u884c<\/p>\n

Data = [1, 2, 3; 4, NaN, 6; 7, 8, 9; NaN, 5, 2];<\/p>\n

disp('\u539f\u59cb\u6570\u636e Data:');<\/p>\n

disp(Data);<\/p>\n

% \u7b2c\u4e00\u6b65：\u627e\u51fa\u54ea\u4e9b\u884c\u5305\u542b\u81f3\u5c11\u4e00\u4e2a NaN<\/p>\n

% any(X, 2) \u5bf9 X \u7684\u6bcf\u4e00\u884c\u8fdb\u884c\u64cd\u4f5c，\u5982\u679c\u8be5\u884c\u6709\u4efb\u4f55\u975e\u96f6\u5143\u7d20，\u5219\u8fd4\u56de true<\/p>\n

% isnan(Data) \u8fd4\u56de\u4e00\u4e2a\u4e0e Data \u540c\u5c3a\u5bf8\u7684\u903b\u8f91\u77e9\u9635<\/p>\n

rows_with_nan = any(isnan(Data), 2);<\/p>\n

disp('\u5305\u542b NaN \u7684\u884c\u7684\u903b\u8f91\u6807\u8bb0:');<\/p>\n

disp(rows_with_nan);<\/p>\n

% \u7b2c\u4e8c\u6b65：\u53cd\u8f6c\u903b\u8f91，\u5f97\u5230\u9700\u8981\u4fdd\u7559\u7684\u884c<\/p>\n

rows_to_keep = ~rows_with_nan;<\/p>\n

disp('\u9700\u8981\u4fdd\u7559\u7684\u884c\u7684\u903b\u8f91\u6807\u8bb0:');<\/p>\n

disp(rows_to_keep);<\/p>\n

% \u7b2c\u4e09\u6b65：\u7528\u903b\u8f91\u7d22\u5f15\u63d0\u53d6\u4fdd\u7559\u7684\u884c<\/p>\n

CleanedData = Data(rows_to_keep, :);<\/p>\n

disp('\u5220\u9664\u5305\u542b NaN \u7684\u884c\u540e\u7684 CleanedData:');<\/p>\n

disp(CleanedData); <\/p>\n

\u8f93\u51fa：<\/p>\n

%\u539f\u59cb\u6570\u636e Data:<\/p>\n

\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0 3<\/p>\n

\u00a0\u00a0\u00a0 4\u00a0 NaN\u00a0\u00a0\u00a0 6<\/p>\n

\u00a0\u00a0\u00a0 7\u00a0\u00a0\u00a0 8\u00a0\u00a0\u00a0 9<\/p>\n

\u00a0 NaN\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0 2<\/p>\n

%\u5305\u542b NaN \u7684\u884c\u7684\u903b\u8f91\u6807\u8bb0:<\/p>\n

\u00a0 0<\/p>\n

\u00a0 1<\/p>\n

\u00a0 0<\/p>\n

\u00a0 1<\/p>\n

%\u9700\u8981\u4fdd\u7559\u7684\u884c\u7684\u903b\u8f91\u6807\u8bb0:<\/p>\n

\u00a0 1<\/p>\n

\u00a0 0<\/p>\n

\u00a0 1<\/p>\n

\u00a0 0<\/p>\n

%\u5220\u9664\u5305\u542b NaN \u7684\u884c\u540e\u7684 CleanedData:<\/p>\n

\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0 3<\/p>\n

\u00a0\u00a0\u00a0 7\u00a0\u00a0\u00a0 8\u00a0\u00a0\u00a0 9 <\/p>\n

\u6ce8\u610f\u4e8b\u9879<\/span><\/h5>\n

\u907f\u514d\u4f7f\u7528 for \u5faa\u73af\u9010\u4e2a\u4fee\u6539\u5143\u7d20\u3002\u5c3d\u91cf\u4f7f\u7528\u5192\u53f7\u8fd0\u7b97\u7b26\u3001\u5411\u91cf\u548c\u903b\u8f91\u7d22\u5f15\u8fdb\u884c\u6279\u91cf\u64cd\u4f5c，\u4ee3\u7801\u66f4\u7b80\u6d01，\u8fd0\u884c\u6548\u7387\u4e5f\u66f4\u9ad8\u3002<\/p>\n

\u5bf9\u4e8e\u57fa\u4e8e\u6761\u4ef6\u7684\u4fee\u6539\u548c\u7b5b\u9009，\u903b\u8f91\u7d22\u5f15\u662f\u6700\u76f4\u89c2\u3001\u6700\u5f3a\u5927\u7684\u5de5\u5177\u3002\u4f8b\u5982 A(A > threshold) = new_value;\u3002<\/p>\n

\u5728\u8fdb\u884c\u6279\u91cf\u8d4b\u503c\u65f6，\u6700\u5e38\u72af\u7684\u9519\u8bef\u5c31\u662f\u5de6\u53f3\u4e24\u4fa7\u7684\u5c3a\u5bf8\u4e0d\u5339\u914d\u3002\u5728\u5199\u4ee3\u7801\u65f6，\u5fc3\u91cc\u8981\u6e05\u695a\u5de6\u4fa7\u9009\u4e2d\u4e86\u591a\u5927\u7684\u533a\u57df\u3002<\/p>\n

\u5220\u9664\u884c\/\u5217 A(…) = [] \u5e76\u4e0d\u662f\u5728\u539f\u77e9\u9635\u4e0a\u201c\u6316\u4e2a\u6d1e\u201d，\u800c\u662f\u751f\u6210\u4e86\u4e00\u4e2a\u66f4\u5c0f\u7684\u65b0\u77e9\u9635\u5e76\u8d4b\u7ed9\u4e86\u53d8\u91cf A\u3002\u5bf9\u4e8e\u5927\u578b\u77e9\u9635，\u9891\u7e41\u7684\u5220\u9664\u64cd\u4f5c\u53ef\u80fd\u4f1a\u56e0\u5185\u5b58\u91cd\u65b0\u5206\u914d\u800c\u5f71\u54cd\u6027\u80fd\u3002<\/p>\n

any(isnan(A), 2) \u6216 any(isinf(A), 2) \u7ed3\u5408\u903b\u8f91\u7d22\u5f15，\u662f\u5904\u7406\u542b\u6709\u5f02\u5e38\u503c（\u5982 NaN, Inf）\u7684\u6570\u636e\u96c6\u7684\u6807\u51c6\u6d41\u7a0b\u3002<\/p>\n

\u603b\u7ed3<\/span><\/h5>\n\n\n\n\n\n\n\n\n\n\n
\n

\u64cd\u4f5c<\/span><\/p>\n<\/td>\n

\n

\u65b9\u6cd5<\/span><\/p>\n<\/td>\n

\n

\u8bed\u6cd5\u793a\u4f8b<\/span><\/p>\n<\/td>\n

\n

\u5173\u952e\u70b9<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u4fee\u6539\u5143\u7d20<\/span><\/p>\n<\/td>\n

\n

\u5355\u4e2a\u5143\u7d20<\/span><\/p>\n<\/td>\n

\n

A(i, j) = x;<\/span><\/p>\n<\/td>\n

\n

\u6700\u57fa\u7840\u7684\u8d4b\u503c\u64cd\u4f5c\u3002<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u591a\u4e2a\u5143\u7d20（\u4f4d\u7f6e\u7d22\u5f15）<\/span><\/p>\n<\/td>\n

\n

A(rows, cols) = B;<\/span><\/p>\n<\/td>\n

\n

\u5c3a\u5bf8\u5339\u914d！<\/span> B<\/span>\u7684\u5c3a\u5bf8\u5fc5\u987b\u4e0e\u9009\u4e2d\u7684\u5b50\u77e9\u9635\u4e00\u81f4\u3002\u652f\u6301\u6807\u91cf\u6269\u5c55\u3002<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u591a\u4e2a\u5143\u7d20（\u7ebf\u6027\u7d22\u5f15）<\/span><\/p>\n<\/td>\n

\n

A(indices) = x;<\/span><\/p>\n<\/td>\n

\n

x<\/span>\u00a0\u7684\u6570\u91cf\u5fc5\u987b\u4e0e<\/span>indices<\/span>\u7684\u6570\u91cf\u4e00\u81f4\u3002\u652f\u6301\u6807\u91cf\u6269\u5c55\u3002<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u591a\u4e2a\u5143\u7d20（\u903b\u8f91\u7d22\u5f15）<\/span><\/p>\n<\/td>\n

\n

A(logical_mtx) = x;<\/span><\/p>\n<\/td>\n

\n

x<\/span>\u7684\u6570\u91cf\u5fc5\u987b\u7b49\u4e8e<\/span>logical_mtx<\/span>\u4e2d<\/span>true<\/span>\u7684\u6570\u91cf\u3002\u652f\u6301\u6807\u91cf\u6269\u5c55\u3002<\/span><\/p>\n

\u6700\u5f3a\u5927\u3001\u6700\u63a8\u8350\u3002<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u5220\u9664\u5143\u7d20<\/span><\/p>\n<\/td>\n

\n

\u5220\u9664\u884c<\/span><\/p>\n<\/td>\n

\n

A(i, \ud83d\ude42 = [];<\/span><\/p>\n<\/td>\n

\n

\u53ea\u80fd\u5220\u9664\u6574\u884c\u6216\u6574\u5217\u3002\u7ed3\u679c\u662f\u521b\u5efa\u4e86\u4e00\u4e2a\u65b0\u77e9\u9635\u3002<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u5220\u9664\u5217<\/span><\/p>\n<\/td>\n

\n

A(:, j) = [];<\/span><\/p>\n<\/td>\n

\n

\u53ea\u80fd\u5220\u9664\u6574\u884c\u6216\u6574\u5217\u3002\u7ed3\u679c\u662f\u521b\u5efa\u4e86\u4e00\u4e2a\u65b0\u77e9\u9635\u3002<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u6761\u4ef6\u5220\u9664\u884c<\/span><\/p>\n<\/td>\n

\n

A(~condition, \ud83d\ude42 = [];<\/span><\/p>\n<\/td>\n

\n

\u5148\u7528<\/span>any()<\/span>\u7b49\u51fd\u6570\u751f\u6210\u884c\u7684\u6761\u4ef6\u903b\u8f91\u5411\u91cf，\u518d\u7528<\/span>\u00a0~<\/span>\u00a0\u53d6\u53cd\u540e\u8fdb\u884c\u7d22\u5f15\u3002<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\n

4.4.4 \u77e9\u9635\u7684\u62fc\u63a5\u548c\u91cd\u590d<\/span><\/h4>\n
\u77e9\u9635\u7684\u62fc\u63a5<\/span><\/h5>\n
1. \u6c34\u5e73\u62fc\u63a5<\/h6>\n

\"\"<\/p>\n

\u6c34\u5e73\u62fc\u63a5\u662f\u5c06\u77e9\u9635\u5e76\u6392\u8fde\u63a5，\u65b0\u77e9\u9635\u7684\u884c\u6570\u4e0d\u53d8，\u5217\u6570\u589e\u52a0\u3002<\/p>\n

\u8bed\u6cd5：C = [A, B] \u6216 C = horzcat(A, B, …)<\/span><\/p>\n

\u6838\u5fc3\u8981\u6c42：\u6240\u6709\u53c2\u4e0e\u62fc\u63a5\u7684\u77e9\u9635，\u5176\u884c\u6570\u5fc5\u987b\u76f8\u7b49\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2; 3, 4];<\/p>\n

B = [5, 6; 7, 8];<\/p>\n

% \u4f7f\u7528\u65b9\u62ec\u53f7\u548c\u9017\u53f7<\/p>\n

C1 = [A, B];<\/p>\n

% C1 =<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0 6<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0 7\u00a0\u00a0\u00a0\u00a0 8<\/p>\n

% \u4f7f\u7528 horzcat \u51fd\u6570<\/p>\n

C2 = horzcat(A, B); % \u7ed3\u679c\u4e0e C1 \u76f8\u540c <\/p>\n

\u6ce8\u610f：\u5982\u679c\u884c\u6570\u4e0d\u5339\u914d，MATLAB \u4f1a\u62a5\u9519\u3002<\/p>\n

D = [9, 10, 11]; % 1×3 \u77e9\u9635<\/p>\n

% E = [A, D];\u00a0\u00a0% \u9519\u8bef！\u4f7f\u7528 horzcat \u7684\u7ef4\u5ea6\u4e0d\u4e00\u81f4\u3002<\/p>\n

% \u9519\u8bef\u4fe1\u606f：Error using horzcat<\/p>\n

% Dimensions of arrays being concatenated are not consistent. <\/p>\n

2. \u5782\u76f4\u62fc\u63a5<\/h6>\n

\"\"<\/p>\n

\u5782\u76f4\u62fc\u63a5\u662f\u5c06\u77e9\u9635\u53e0\u653e\u8fde\u63a5，\u65b0\u77e9\u9635\u7684\u5217\u6570\u4e0d\u53d8，\u884c\u6570\u589e\u52a0\u3002<\/p>\n

\u8bed\u6cd5：C = [A; B] \u6216 C = vertcat(A, B, …)<\/span><\/p>\n

\u6838\u5fc3\u8981\u6c42：\u6240\u6709\u53c2\u4e0e\u62fc\u63a5\u7684\u77e9\u9635，\u5176\u5217\u6570\u5fc5\u987b\u76f8\u7b49\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2; 3, 4];<\/p>\n

B = [5, 6; 7, 8];<\/p>\n

% \u4f7f\u7528\u65b9\u62ec\u53f7\u548c\u5206\u53f7<\/p>\n

C1 = [A; B];<\/p>\n

% C1 =<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 2<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 4<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0 6<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 7\u00a0\u00a0\u00a0\u00a0 8<\/p>\n

% \u4f7f\u7528 vertcat \u51fd\u6570<\/p>\n

C2 = vertcat(A, B); % \u7ed3\u679c\u4e0e C1 \u76f8\u540c <\/p>\n

\u6ce8\u610f：\u5982\u679c\u5217\u6570\u4e0d\u5339\u914d，MATLAB \u4f1a\u62a5\u9519\u3002<\/p>\n

F = [9; 10; 11]; % 3×1 \u77e9\u9635<\/p>\n

% G = [A; F];\u00a0 % \u9519\u8bef！\u4f7f\u7528 vertcat \u7684\u7ef4\u5ea6\u4e0d\u4e00\u81f4\u3002 <\/p>\n

3. \u591a\u7ef4\u77e9\u9635\u7684\u62fc\u63a5<\/h6>\n

\u5bf9\u4e8e\u4e09\u7ef4\u6216\u66f4\u9ad8\u7ef4\u7684\u77e9\u9635，\u62fc\u63a5\u64cd\u4f5c\u53d8\u5f97\u66f4\u52a0\u590d\u6742，\u56e0\u4e3a\u9700\u8981\u6307\u5b9a\u6cbf\u7740\u54ea\u4e2a\u7ef4\u5ea6\u8fdb\u884c\u62fc\u63a5\u3002\u8fd9\u65f6，cat \u51fd\u6570\u5c31\u6d3e\u4e0a\u7528\u573a\u4e86\u3002<\/p>\n

\u8bed\u6cd5：C = cat(dim, A, B, …)<\/span><\/p>\n

\u53c2\u6570\u8bf4\u660e：<\/p>\n

dim：\u6307\u5b9a\u62fc\u63a5\u7684\u7ef4\u5ea6\u3002<\/p>\n

dim = 1：\u5782\u76f4\u62fc\u63a5（\u6cbf\u7b2c1\u7ef4，\u5373\u884c\u65b9\u5411），\u7b49\u540c\u4e8e vertcat\u3002<\/p>\n

dim = 2：\u6c34\u5e73\u62fc\u63a5（\u6cbf\u7b2c2\u7ef4，\u5373\u5217\u65b9\u5411），\u7b49\u540c\u4e8e horzcat\u3002<\/p>\n

dim = 3：\u6cbf\u201c\u9875\u201d\u65b9\u5411\u62fc\u63a5（\u521b\u5efa\u7b2c\u4e09\u7ef4）\u3002<\/p>\n

dim > 3：\u6cbf\u66f4\u9ad8\u7ef4\u5ea6\u62fc\u63a5\u3002<\/p>\n

\u6ce8\u610f：\u6240\u6709\u53c2\u4e0e\u62fc\u63a5\u7684\u77e9\u9635，\u5728\u9664\u4e86 dim \u6307\u5b9a\u7684\u7ef4\u5ea6\u4e4b\u5916\u7684\u6240\u6709\u5176\u4ed6\u7ef4\u5ea6\u4e0a，\u5c3a\u5bf8\u5fc5\u987b\u76f8\u7b49\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

% \u521b\u5efa\u4e24\u4e2a 2×2 \u7684\u77e9\u9635，\u53ef\u4ee5\u770b\u4f5c\u662f\u4e24\u4e2a\u201c\u9875\u201d<\/p>\n

A = [1, 2; 3, 4];<\/p>\n

B = [5, 6; 7, 8];<\/p>\n

% \u6cbf\u7b2c3\u7ef4（\u9875）\u62fc\u63a5<\/p>\n

C_3d = cat(3, A, B);<\/p>\n

% size(C_3d) \u5c06\u662f [2 2 2]<\/p>\n

% C_3d(:, :, 1) \u5c31\u662f A<\/p>\n

% C_3d(:, :, 2) \u5c31\u662f B<\/p>\n

% \u6cbf\u7b2c1\u7ef4（\u884c）\u62fc\u63a5，\u7b49\u540c\u4e8e vertcat<\/p>\n

C_vert = cat(1, A, B);<\/p>\n

% \u6cbf\u7b2c2\u7ef4（\u5217）\u62fc\u63a5，\u7b49\u540c\u4e8e horzcat<\/p>\n

C_horz = cat(2, A, B); <\/p>\n

\u77e9\u9635\u7684\u91cd\u590d<\/span><\/h5>\n

\u77e9\u9635\u91cd\u590d\u662f\u6307\u5c06\u4e00\u4e2a\u77e9\u9635\u4f5c\u4e3a\u201c\u7816\u5757\u201d，\u901a\u8fc7\u5728\u884c\u548c\u5217\u65b9\u5411\u4e0a\u91cd\u590d\u5b83\u591a\u6b21，\u6765\u6784\u5efa\u4e00\u4e2a\u66f4\u5927\u7684\u3001\u5177\u6709\u5468\u671f\u6027\u6a21\u5f0f\u7684\u77e9\u9635\u3002<\/p>\n

1. repmat \u51fd\u6570<\/h6>\n

\"\"<\/p>\n

repmat（Replicate Matrix）\u662f MATLAB \u4e2d\u6700\u5e38\u7528\u3001\u6700\u5f3a\u5927\u7684\u77e9\u9635\u91cd\u590d\u51fd\u6570\u3002<\/p>\n

\u8bed\u6cd5：B = repmat(A, m, n) \u6216 B = repmat(A, [m n … p])<\/span><\/p>\n

\u53c2\u6570\u8bf4\u660e：<\/p>\n

A：\u8981\u88ab\u91cd\u590d\u7684\u6e90\u77e9\u9635（\u6216\u6807\u91cf\u3001\u5411\u91cf）\u3002<\/p>\n

m：\u5728\u884c\u65b9\u5411\u4e0a\u91cd\u590d\u7684\u6b21\u6570\u3002<\/p>\n

n：\u5728\u5217\u65b9\u5411\u4e0a\u91cd\u590d\u7684\u6b21\u6570\u3002<\/p>\n

[m n … p]：\u4e00\u4e2a\u5411\u91cf，\u6307\u5b9a\u5728\u6bcf\u4e2a\u7ef4\u5ea6\u4e0a\u91cd\u590d\u7684\u6b21\u6570\u3002\u8fd9\u4f7f\u5176\u80fd\u591f\u5904\u7406\u591a\u7ef4\u77e9\u9635\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2; 3, 4];<\/p>\n

% \u5c06 A \u5728\u884c\u65b9\u5411\u91cd\u590d 2 \u6b21，\u5217\u65b9\u5411\u91cd\u590d 3 \u6b21<\/p>\n

B = repmat(A, 2, 3);<\/p>\n

% B =<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 2<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 4<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 2<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 4<\/p>\n

% \u91cd\u590d\u4e00\u4e2a\u5411\u91cf<\/p>\n

v = [10, 20];<\/p>\n

C = repmat(v, 3, 1); % \u5c06\u884c\u5411\u91cf v \u5782\u76f4\u5806\u53e0 3 \u6b21<\/p>\n

% C =<\/p>\n

%\u00a0\u00a0\u00a0\u00a0 10\u00a0\u00a0\u00a0 20<\/p>\n

%\u00a0\u00a0\u00a0\u00a0 10\u00a0\u00a0\u00a0 20<\/p>\n

%\u00a0\u00a0\u00a0\u00a0 10\u00a0\u00a0\u00a0 20<\/p>\n

% \u91cd\u590d\u4e00\u4e2a\u6807\u91cf (\u521b\u5efa\u5168\u503c\u77e9\u9635)<\/p>\n

D = repmat(5, 2, 4); % \u521b\u5efa\u4e00\u4e2a 2×4 \u7684\u5168 5 \u77e9\u9635<\/p>\n

% D =<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0 5<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0 5\u00a0\u00a0\u00a0\u00a0 5<\/p>\n

% \u8fd9\u4e0e ones(2,4)*5 \u6216 zeros(2,4)+5 \u6548\u679c\u76f8\u540c，\u4f46 repmat \u66f4\u901a\u7528\u3002<\/p>\n

% \u591a\u7ef4\u91cd\u590d<\/p>\n

E = repmat(A, [1, 1, 2]); % \u6cbf\u7b2c3\u7ef4\u91cd\u590d2\u6b21，\u4e0e cat(3, A, A) \u7ed3\u679c\u76f8\u540c <\/p>\n

2. kron \u51fd\u6570<\/h6>\n

kron \u51fd\u6570\u7528\u4e8e\u8ba1\u7b97\u4e24\u4e2a\u77e9\u9635\u7684\u514b\u7f57\u5185\u514b\u79ef\u3002\u867d\u7136\u5b83\u7684\u6570\u5b66\u5b9a\u4e49\u66f4\u590d\u6742，\u4f46\u5728\u67d0\u4e9b\u7279\u5b9a\u91cd\u590d\u6a21\u5f0f\u4e2d，\u5b83\u53ef\u4ee5\u4f5c\u4e3a\u4e00\u79cd\u9ad8\u6548\u7684\u91cd\u590d\u5de5\u5177\u3002<\/p>\n

\u8bed\u6cd5：K = kron(A, B)<\/span><\/p>\n

\u5de5\u4f5c\u539f\u7406：\u7ed3\u679c\u77e9\u9635 K \u662f\u901a\u8fc7\u7528\u77e9\u9635 B \u4e58\u4ee5\u77e9\u9635 A \u4e2d\u7684\u6bcf\u4e00\u4e2a\u5143\u7d20，\u7136\u540e\u5c06\u8fd9\u4e9b\u7ed3\u679c\u5757\u62fc\u63a5\u8d77\u6765\u6784\u6210\u7684\u3002<\/p>\n

\u5728\u91cd\u590d\u4e2d\u7684\u5e94\u7528：\u5f53 B \u662f\u4e00\u4e2a\u51681\u77e9\u9635\u65f6，kron \u7684\u6548\u679c\u5c31\u7b49\u540c\u4e8e repmat\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2; 3, 4];<\/p>\n

% \u4f7f\u7528 kron \u5b9e\u73b0\u4e0e repmat(A, 2, 3) \u76f8\u540c\u7684\u6548\u679c<\/p>\n

% \u6211\u4eec\u9700\u8981\u521b\u5efa\u4e00\u4e2a 2×3 \u7684\u51681\u77e9\u9635\u4f5c\u4e3a B<\/p>\n

B_pattern = ones(2, 3);<\/p>\n

K = kron(A, B_pattern);<\/p>\n

% K =<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 2<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0 2<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0 4<\/p>\n

%\u00a0\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0 4<\/p>\n

% \u8fd9\u4e2a\u7ed3\u679c\u548c\u4e0a\u9762\u7684 repmat(A, 2, 3) \u5b8c\u5168\u4e00\u6837\u3002 <\/p>\n

repmat VS kron：<\/h6>\n

repmat：\u76f4\u89c2，\u4e13\u95e8\u7528\u4e8e\u91cd\u590d\u6574\u4e2a\u77e9\u9635\u5757\u3002repmat(A, m, n) \u5c31\u662f\u628a A \u8fd9\u4e2a\u5757\u91cd\u590d m \u884c n \u5217\u3002<\/p>\n

kron：\u529f\u80fd\u66f4\u5f3a\u5927，\u4e5f\u66f4\u62bd\u8c61\u3002\u5b83\u4e0d\u4ec5\u53ef\u4ee5\u91cd\u590d，\u8fd8\u80fd\u5728\u91cd\u590d\u65f6\u5bf9\u6bcf\u4e2a\u5757\u8fdb\u884c\u7f29\u653e（\u7531 A \u7684\u5143\u7d20\u503c\u51b3\u5b9a）\u3002\u5bf9\u4e8e\u7b80\u5355\u7684\u5757\u91cd\u590d，repmat \u66f4\u6613\u8bfb\u3001\u66f4\u76f4\u63a5\u3002\u5f53\u9700\u8981 A \u7684\u5143\u7d20\u53bb\u8c03\u5236 B \u7684\u91cd\u590d\u5757\u65f6，kron \u662f\u4e0d\u4e8c\u4e4b\u9009\u3002<\/p>\n

3. \u5229\u7528\u7d22\u5f15\u8fdb\u884c\u91cd\u590d（\u9ad8\u7ea7\u6280\u5de7）<\/h6>\n

\u901a\u8fc7\u5de7\u5999\u5730\u4f7f\u7528\u7d22\u5f15，\u4e5f\u53ef\u4ee5\u5b9e\u73b0\u91cd\u590d\u7684\u6548\u679c，\u8fd9\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\u6bd4 repmat \u66f4\u5feb\u3002<\/p>\n

\u539f\u7406：MATLAB \u652f\u6301\u5916\u79ef\u5f0f\u7684\u7d22\u5f15\u3002\u4f8b\u5982，A(:, v) \u5176\u4e2d v \u662f\u4e00\u4e2a\u7d22\u5f15\u5411\u91cf，\u4f1a\u91cd\u590d A \u7684\u5217\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1; 2; 3]; % \u4e00\u4e2a 3×1 \u7684\u5217\u5411\u91cf<\/p>\n

% \u76ee\u6807：\u91cd\u590d A 4 \u6b21，\u5f62\u6210\u4e00\u4e2a 3×4 \u7684\u77e9\u9635<\/p>\n

% \u65b9\u6cd51：\u4f7f\u7528 repmat<\/p>\n

B_repmat = repmat(A, 1, 4);<\/p>\n

% \u65b9\u6cd52：\u4f7f\u7528\u7d22\u5f15<\/p>\n

% \u521b\u5efa\u4e00\u4e2a\u5217\u7d22\u5f15\u5411\u91cf [1, 1, 1, 1]<\/p>\n

col_idx = ones(1, 4);<\/p>\n

B_idx = A(:, col_idx); % \u53d6 A \u7684\u7b2c1\u5217，\u91cd\u590d4\u6b21<\/p>\n

% B_idx \u7684\u7ed3\u679c\u4e0e B_repmat \u76f8\u540c\u3002<\/p>\n

% \u5bf9\u4e8e\u884c\u5411\u91cf\u7684\u91cd\u590d<\/p>\n

C = [10, 20, 30]; % \u4e00\u4e2a 1×3 \u7684\u884c\u5411\u91cf<\/p>\n

row_idx = ones(3, 1); % \u521b\u5efa\u4e00\u4e2a\u884c\u7d22\u5f15\u5411\u91cf [1; 1; 1]<\/p>\n

D_idx = C(row_idx, :); % \u53d6 C \u7684\u7b2c1\u884c，\u91cd\u590d3\u6b21<\/p>\n

% D_idx =<\/p>\n

%\u00a0\u00a0\u00a0\u00a0 10\u00a0\u00a0\u00a0 20\u00a0\u00a0\u00a0 30<\/p>\n

%\u00a0\u00a0\u00a0\u00a0 10\u00a0\u00a0\u00a0 20\u00a0\u00a0\u00a0 30<\/p>\n

%\u00a0\u00a0\u00a0\u00a0 10\u00a0\u00a0\u00a0 20\u00a0\u00a0\u00a0 30 <\/p>\n

\u4f18\u70b9：\u7d22\u5f15\u64cd\u4f5c\u901a\u5e38\u5728\u5e95\u5c42\u8fdb\u884c\u4e86\u9ad8\u5ea6\u4f18\u5316，\u5bf9\u4e8e\u975e\u5e38\u5927\u7684\u77e9\u9635，\u8fd9\u79cd\u65b9\u6cd5\u53ef\u80fd\u6bd4 repmat \u7565\u5feb\u3002<\/p>\n

\u7f3a\u70b9：\u53ef\u8bfb\u6027\u4e0d\u5982 repmat \u76f4\u89c2，\u5bf9\u4e8e\u521d\u5b66\u8005\u6765\u8bf4\u53ef\u80fd\u96be\u4ee5\u7406\u89e3\u3002<\/p>\n

\u603b\u7ed3<\/span><\/h5>\n\n\n\n\n\n\n\n\n\n
\n

\u64cd\u4f5c\u7c7b\u578b<\/span><\/p>\n<\/td>\n

\n

\u6838\u5fc3\u51fd\u6570<\/span>\/<\/span>\u8bed\u6cd5<\/span><\/p>\n<\/td>\n

\n

\u5173\u952e\u8981\u6c42<\/span><\/p>\n<\/td>\n

\n

\u5178\u578b\u5e94\u7528\u573a\u666f<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u6c34\u5e73\u62fc\u63a5<\/span><\/p>\n<\/td>\n

\n

[A,B]<\/span><\/p>\n

\u6216<\/span>horzcat(A, B)<\/span><\/p>\n<\/td>\n

\n

\u6240\u6709\u77e9\u9635\u884c\u6570\u76f8\u7b49<\/span><\/p>\n<\/td>\n

\n

\u5408\u5e76\u4e0d\u540c\u6837\u672c\u7684\u7279\u5f81\u5217，\u5c06\u591a\u4e2a\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u5e76\u6392\u663e\u793a\u3002<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u5782\u76f4\u62fc\u63a5<\/span><\/p>\n<\/td>\n

\n

[A; B]<\/span><\/p>\n

\u6216<\/span>vertcat(A, B)<\/span><\/p>\n<\/td>\n

\n

\u6240\u6709\u77e9\u9635\u5217\u6570\u76f8\u7b49<\/span><\/p>\n<\/td>\n

\n

\u589e\u52a0\u6837\u672c\u6570\u91cf，\u5c06\u4e0d\u540c\u5b9e\u9a8c\u7684\u6570\u636e\u5806\u53e0\u5728\u4e00\u8d77\u3002<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u591a\u7ef4\u62fc\u63a5<\/span><\/p>\n<\/td>\n

\n

cat(dim, A, B, …)<\/span><\/p>\n<\/td>\n

\n

\u9664<\/span>dim<\/span>\u7ef4\u5916，\u5176\u4ed6\u7ef4\u5c3a\u5bf8\u76f8\u7b49<\/span><\/p>\n<\/td>\n

\n

\u5408\u5e76\u56fe\u50cf\u6570\u636e（\u5982\u5c06\u591a\u5f20\u7070\u5ea6\u56fe\u53e0\u6210\u5f69\u8272\u56fe\u6216\u89c6\u9891\u5e27），\u5904\u7406\u9ad8\u7ef4\u6570\u636e\u96c6\u3002<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u77e9\u9635\u91cd\u590d<\/span><\/p>\n<\/td>\n

\n

repmat(A, m, n)<\/span><\/p>\n<\/td>\n

\n

\u65e0\u7279\u6b8a\u8981\u6c42<\/span><\/p>\n<\/td>\n

\n

\u521b\u5efa\u6d4b\u8bd5\u6570\u636e\u6a21\u5f0f，\u751f\u6210\u7f51\u683c\u5750\u6807（\u914d\u5408<\/span>meshgrid<\/span>），\u6784\u9020\u7279\u5b9a\u7ed3\u6784\u7684\u77e9\u9635（\u5982\u5757\u5bf9\u89d2\u77e9\u9635）\u3002<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u514b\u7f57\u5185\u514b\u79ef<\/span><\/p>\n<\/td>\n

\n

kron(A, B)<\/span><\/p>\n<\/td>\n

\n

\u65e0\u7279\u6b8a\u8981\u6c42<\/span><\/p>\n<\/td>\n

\n

\u4fe1\u53f7\u5904\u7406\u3001\u91cf\u5b50\u529b\u5b66\u3001\u6709\u9650\u5143\u5206\u6790\u7b49\u4e13\u4e1a\u9886\u57df；\u6216\u7528\u4e8e\u5b9e\u73b0\u5e26\u7f29\u653e\u7684\u5757\u91cd\u590d\u3002<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u7d22\u5f15\u91cd\u590d<\/span><\/p>\n<\/td>\n

\n

A(:, v)<\/span><\/p>\n

\u6216<\/span>A(u, \ud83d\ude42<\/span><\/p>\n<\/td>\n

\n

u<\/span>,<\/span>v<\/span>\u4e3a\u5408\u6cd5\u7684\u7d22\u5f15\u5411\u91cf<\/span><\/p>\n<\/td>\n

\n

\u6027\u80fd\u654f\u611f\u4ee3\u7801\u4e2d\u7684\u9ad8\u6548\u91cd\u590d，\u521b\u5efa\u7531\u5355\u4e2a\u5411\u91cf\u6784\u6210\u7684\u77e9\u9635\u3002<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\n

4.4.5 \u77e9\u9635\u7684\u91cd\u6784\u548c\u91cd\u65b0\u6392\u5217<\/span><\/h4>\n
\u77e9\u9635\u7684\u91cd\u6784<\/span><\/h5>\n

\u77e9\u9635\u91cd\u6784\u662f\u6307\u6539\u53d8\u77e9\u9635\u7684\u7ef4\u5ea6（\u884c\u6570\u3001\u5217\u6570\u3001\u9875\u6570\u7b49），\u4f46\u4fdd\u6301\u5176\u603b\u5143\u7d20\u6570\u91cf\u4e0d\u53d8\u3002\u8fd9\u597d\u6bd4\u7528\u540c\u6837\u6570\u91cf\u7684\u4e50\u9ad8\u79ef\u6728，\u62fc\u642d\u51fa\u4e0d\u540c\u7684\u9020\u578b\u3002<\/p>\n

1. reshape – \u6838\u5fc3\u91cd\u6784\u51fd\u6570<\/h6>\n

reshape \u662f\u8fdb\u884c\u77e9\u9635\u91cd\u6784\u6700\u57fa\u672c\u3001\u6700\u5e38\u7528\u7684\u51fd\u6570\u3002\u5b83\u4f1a\u6309\u7167\u5217\u4f18\u5148\u7684\u987a\u5e8f，\u4ece\u539f\u77e9\u9635\u4e2d\u53d6\u51fa\u5143\u7d20，\u586b\u5145\u5230\u65b0\u5f62\u72b6\u7684\u77e9\u9635\u4e2d\u3002<\/p>\n

\u8bed\u6cd5：B = reshape(A, m, n, p, …)<\/span><\/p>\n

\u8bed\u6cd5：B = reshape(A, [m n p …])<\/span><\/p>\n

\u6838\u5fc3\u8981\u6c42：A \u7684\u603b\u5143\u7d20\u6570 (prod(size(A))) \u5fc5\u987b\u7b49\u4e8e\u65b0\u5f62\u72b6\u7684\u603b\u5143\u7d20\u6570 (m * n * p * …)\u3002<\/p>\n

\u5173\u952e\u7279\u6027：\u5217\u4f18\u5148(\u6309\u7167\u7ebf\u6027\u7d22\u5f15\u7684\u987a\u5e8f\u6392\u5217\u5143\u7d20)\u3002MATLAB \u5728\u5185\u5b58\u4e2d\u662f\u6309\u5217\u5b58\u50a8\u77e9\u9635\u7684，\u6240\u4ee5 A(:) \u4f1a\u5c06 A \u62c9\u4f38\u6210\u4e00\u4e2a\u957f\u5217\u5411\u91cf，\u8fd9\u4e2a\u987a\u5e8f\u5c31\u662f reshape \u64cd\u4f5c\u7684\u4f9d\u636e\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

% \u521b\u5efa\u4e00\u4e2a 3×4 \u7684\u77e9\u9635<\/p>\n

A = [1, 2, 3, 4;<\/p>\n

\u00a0\u00a0\u00a0\u00a0 5, 6, 7, 8;<\/p>\n

\u00a0\u00a0\u00a0\u00a0 9, 10, 11, 12];<\/p>\n

disp('\u539f\u59cb\u77e9\u9635 A:');<\/p>\n

disp(A);<\/p>\n

% 1. \u5c06 A \u91cd\u6784\u4e3a 2×6 \u7684\u77e9\u9635<\/p>\n

B = reshape(A, 2, 6);<\/p>\n

disp('\u91cd\u6784\u4e3a 2×6 \u7684\u77e9\u9635 B:');<\/p>\n

% B \u7684\u586b\u5145\u8fc7\u7a0b：<\/p>\n

% \u53d6 A \u7684\u7b2c1\u5217: [1; 5; 9] -> \u586b\u5145 B \u7684\u7b2c1\u5217\u524d\u4e24\u4e2a\u5143\u7d20 [1; 5]<\/p>\n

% \u53d6 A \u7684\u7b2c2\u5217: [2; 6; 10] -> \u586b\u5145 B \u7684\u7b2c1\u5217\u540e\u4e24\u4e2a\u5143\u7d20 [9; 2] (\u6ce8\u610f，9\u662fA\u7b2c1\u5217\u6700\u540e\u4e00\u4e2a)<\/p>\n

% … \u4ee5\u6b64\u7c7b\u63a8<\/p>\n

% \u6700\u7ec8\u7ed3\u679c：<\/p>\n

% 1\u00a0\u00a0\u00a0\u00a0 9\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0 10\u00a0\u00a0\u00a0\u00a0 3\u00a0\u00a0\u00a0 11<\/p>\n

% 5\u00a0\u00a0\u00a0\u00a0 6\u00a0\u00a0\u00a0 12\u00a0\u00a0\u00a0\u00a0 7\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0 8<\/p>\n

disp(B);<\/p>\n

% 2. \u5c06 A \u91cd\u6784\u4e3a\u4e00\u4e2a\u5411\u91cf（\u81ea\u52a8\u8ba1\u7b97\u4e00\u4e2a\u7ef4\u5ea6）<\/p>\n

C = reshape(A, [], 1); % \u7b49\u540c\u4e8e C = A(:);<\/p>\n

disp('\u91cd\u6784\u4e3a\u5217\u5411\u91cf C:');<\/p>\n

disp(C');<\/p>\n

% 3. \u5c06 A \u91cd\u6784\u4e3a 3x2x2 \u7684\u4e09\u7ef4\u6570\u7ec4<\/p>\n

D = reshape(A, [3, 2, 2]);<\/p>\n

disp('\u91cd\u6784\u4e3a 3x2x2 \u7684\u4e09\u7ef4\u6570\u7ec4 D:');<\/p>\n

disp('D(:,:,1) =');<\/p>\n

disp(D(:,:,1));<\/p>\n

disp('D(:,:,2) =');<\/p>\n

disp(D(:,:,2)); <\/p>\n

2. permute – \u7ef4\u5ea6\u7f6e\u6362<\/h6>\n

permute \u662f\u4e00\u4e2a\u66f4\u5f3a\u5927\u7684\u51fd\u6570，\u7528\u4e8e\u91cd\u65b0\u6392\u5217\u6570\u7ec4\u7684\u7ef4\u5ea6\u987a\u5e8f\u3002\u5b83\u4e0d\u4ec5\u4ec5\u662f\u6539\u53d8\u5f62\u72b6，\u800c\u662f\u6539\u53d8\u7ef4\u5ea6\u7684\u8eab\u4efd\u3002\u8fd9\u5bf9\u4e8e\u5904\u7406\u9ad8\u7ef4\u6570\u7ec4（\u5982\u56fe\u50cf\u3001\u89c6\u9891\u6570\u636e）\u81f3\u5173\u91cd\u8981\u3002<\/p>\n

\u8bed\u6cd5：B = permute(A, order)<\/span><\/p>\n

\u53c2\u6570：order \u662f\u4e00\u4e2a\u5411\u91cf，\u6307\u5b9a\u4e86\u539f\u77e9\u9635\u7ef4\u5ea6\u5728\u65b0\u77e9\u9635\u4e2d\u7684\u4f4d\u7f6e\u3002\u4f8b\u5982，\u5bf9\u4e8e\u4e00\u4e2a\u4e09\u7ef4\u6570\u7ec4 [\u884c, \u5217, \u9875]，order = [2, 1, 3] \u8868\u793a\u5c06\u539f\u6765\u7684\u201c\u5217\u201d\u7ef4\u5ea6\u653e\u5230\u65b0\u77e9\u9635\u7684\u201c\u884c\u201d\u4f4d\u7f6e，\u539f\u6765\u7684\u201c\u884c\u201d\u7ef4\u5ea6\u653e\u5230\u65b0\u77e9\u9635\u7684\u201c\u5217\u201d\u4f4d\u7f6e，\u800c\u201c\u9875\u201d\u7ef4\u5ea6\u4fdd\u6301\u4e0d\u53d8\u3002\u8fd9\u76f8\u5f53\u4e8e\u5bf9\u6bcf\u4e2a\u201c\u9875\u201d\u8fdb\u884c\u8f6c\u7f6e\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

% \u521b\u5efa\u4e00\u4e2a 2x3x4 \u7684\u4e09\u7ef4\u6570\u7ec4<\/p>\n

rng('default'); % \u4e3a\u4e86\u7ed3\u679c\u53ef\u590d\u73b0<\/p>\n

A = randi(100, 2, 3, 4);<\/p>\n

fprintf('\u539f\u59cb\u6570\u7ec4 A \u7684\u5c3a\u5bf8: %s\\\\n', mat2str(size(A)));<\/p>\n

% 1. \u4ea4\u6362\u884c\u548c\u5217\u7ef4\u5ea6（\u76f8\u5f53\u4e8e\u5bf9\u6bcf\u4e00\u9875\u8fdb\u884c\u8f6c\u7f6e）<\/p>\n

B = permute(A, [2, 1, 3]);<\/p>\n

fprintf('permute(A, [2, 1, 3]) \u540e\u7684\u5c3a\u5bf8: %s\\\\n', mat2str(size(B)));<\/p>\n

% \u68c0\u67e5\u4e00\u4e0b\u7b2c\u4e00\u9875<\/p>\n

disp('A \u7684\u7b2c\u4e00\u9875:'); disp(A(:,:,1));<\/p>\n

disp('B \u7684\u7b2c\u4e00\u9875 (A\u7b2c\u4e00\u9875\u7684\u8f6c\u7f6e):'); disp(B(:,:,1));<\/p>\n

% 2. \u5c06\u9875\u7ef4\u5ea6\u79fb\u52a8\u5230\u6700\u524d\u9762<\/p>\n

C = permute(A, [3, 1, 2]);<\/p>\n

fprintf('permute(A, [3, 1, 2]) \u540e\u7684\u5c3a\u5bf8: %s\\\\n', mat2str(size(C))); <\/p>\n

3. squeeze – \u79fb\u9664\u5355\u4e00\u7ef4\u5ea6<\/h6>\n

\u5f53\u4e00\u4e2a\u6570\u7ec4\u4e2d\u5b58\u5728\u67d0\u4e2a\u7ef4\u5ea6\u7684\u957f\u5ea6\u4e3a 1 \u65f6（\u4f8b\u5982，\u4ece 3×1 \u77e9\u9635\u4e2d\u9009\u53d6\u4e00\u884c\u5f97\u5230 1x1x3 \u7684\u6570\u7ec4），squeeze \u51fd\u6570\u53ef\u4ee5\u79fb\u9664\u8fd9\u4e9b\u201c\u957f\u5ea6\u4e3a1\u201d\u7684\u7ef4\u5ea6，\u4f7f\u6570\u7ec4\u66f4\u7d27\u51d1\u3002<\/p>\n

\u8bed\u6cd5：B = squeeze(A)<\/span><\/p>\n

\u6ce8\u610f：squeeze \u4e0d\u4f1a\u79fb\u9664\u4e8c\u7ef4\u77e9\u9635\u7684\u7b2c\u4e00\u4e2a\u6216\u7b2c\u4e8c\u4e2a\u5355\u4e00\u7ef4\u5ea6\u3002\u4f8b\u5982，squeeze(ones(1,3)) \u4ecd\u7136\u662f 1×3，\u56e0\u4e3a MATLAB \u8ba4\u4e3a\u884c\u5411\u91cf\u548c\u5217\u5411\u91cf\u662f\u57fa\u672c\u7684\u6570\u636e\u7ed3\u6784\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

% \u521b\u5efa\u4e00\u4e2a 1x3x1x2 \u7684\u56db\u7ef4\u6570\u7ec4<\/p>\n

A = zeros(1, 3, 1, 2);<\/p>\n

fprintf('\u539f\u59cb\u6570\u7ec4 A \u7684\u5c3a\u5bf8: %s\\\\n', mat2str(size(A)));<\/p>\n

% \u4f7f\u7528 squeeze \u79fb\u9664\u957f\u5ea6\u4e3a1\u7684\u7ef4\u5ea6<\/p>\n

B = squeeze(A);<\/p>\n

fprintf('squeeze(A) \u540e\u7684\u5c3a\u5bf8: %s\\\\n', mat2str(size(B))); % \u7ed3\u679c\u4e3a 3×2<\/p>\n

% \u5bf9\u4e8c\u7ef4\u77e9\u9635\u7684\u5c1d\u8bd5<\/p>\n

C = ones(1, 5);<\/p>\n

fprintf('\u539f\u59cb\u5411\u91cf C \u7684\u5c3a\u5bf8: %s\\\\n', mat2str(size(C)));<\/p>\n

D = squeeze(C);<\/p>\n

fprintf('squeeze(C) \u540e\u7684\u5c3a\u5bf8: %s\\\\n', mat2str(size(D))); % \u7ed3\u679c\u4ecd\u4e3a 1×5 <\/p>\n

4. shiftdim – \u7ef4\u5ea6\u5faa\u73af\u79fb\u4f4d<\/h6>\n

shiftdim \u51fd\u6570\u5c06\u6570\u7ec4\u7684\u7ef4\u5ea6\u8fdb\u884c\u5faa\u73af\u79fb\u4f4d\u3002\u5b83\u5e38\u7528\u4e8e\u5c06\u67d0\u4e2a\u7279\u5b9a\u7ef4\u5ea6\u79fb\u52a8\u5230\u7b2c\u4e00\u7ef4\u7684\u4f4d\u7f6e，\u4ee5\u4fbf\u4e8e\u8fdb\u884c\u67d0\u4e9b\u64cd\u4f5c（\u5982 sum \u7b49）\u3002<\/p>\n

\u8bed\u6cd5：B = shiftdim(A, n)<\/span><\/p>\n

\u53c2\u6570：n \u662f\u4e00\u4e2a\u6574\u6570\u3002\u5f53 n > 0 \u65f6，\u7ef4\u5ea6\u5411\u5de6（\u6b63\u5411）\u79fb\u52a8 n \u4f4d，\u79fb\u51fa\u7684\u7ef4\u5ea6\u5728\u672b\u5c3e\u5faa\u73af\u56de\u6765\u3002\u5f53 n < 0 \u65f6，\u5728\u6570\u7ec4\u524d\u9762\u589e\u52a0 abs(n) \u4e2a\u957f\u5ea6\u4e3a1\u7684\u7ef4\u5ea6\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = rand(4, 3, 2);<\/p>\n

fprintf('\u539f\u59cb\u6570\u7ec4 A \u7684\u5c3a\u5bf8: %s\\\\n', mat2str(size(A)));<\/p>\n

% 1. \u7ef4\u5ea6\u5411\u5de6\u79fb\u52a81\u4f4d<\/p>\n

B = shiftdim(A, 1);<\/p>\n

% \u539f\u59cb\u7ef4\u5ea6\u987a\u5e8f: [1, 2, 3] -> [\u884c, \u5217, \u9875]<\/p>\n

% \u65b0\u7684\u7ef4\u5ea6\u987a\u5e8f: [2, 3, 1] -> [\u5217, \u9875, \u884c]<\/p>\n

fprintf('shiftdim(A, 1) \u540e\u7684\u5c3a\u5bf8: %s\\\\n', mat2str(size(B))); % \u7ed3\u679c\u4e3a 3x2x4<\/p>\n

% 2. \u7ef4\u5ea6\u5411\u53f3\u79fb\u52a8（\u589e\u52a0\u5355\u4e00\u7ef4\u5ea6）<\/p>\n

C = shiftdim(A, -1);<\/p>\n

% \u5728\u524d\u9762\u589e\u52a0\u4e00\u4e2a\u957f\u5ea6\u4e3a1\u7684\u7ef4\u5ea6<\/p>\n

fprintf('shiftdim(A, -1) \u540e\u7684\u5c3a\u5bf8: %s\\\\n', mat2str(size(C))); % \u7ed3\u679c\u4e3a 1x4x3x2 <\/p>\n

\u77e9\u9635\u7684\u91cd\u65b0\u6392\u5217<\/span><\/h5>\n

\u4e0e\u91cd\u6784\u4e0d\u540c，\u91cd\u65b0\u6392\u5217\u4f1a\u6539\u53d8\u77e9\u9635\u4e2d\u5143\u7d20\u7684\u539f\u59cb\u7ebf\u6027\u987a\u5e8f\u3002\u8fd9\u76f8\u5f53\u4e8e\u5bf9\u4e50\u9ad8\u79ef\u6728\u7684\u987a\u5e8f\u8fdb\u884c\u6253\u4e71，\u7136\u540e\u518d\u91cd\u65b0\u62fc\u88c5\u3002<\/p>\n

1. \u8f6c\u7f6e ' \u548c .'<\/h6>\n

\u8fd9\u662f\u6700\u5e38\u89c1\u7684\u91cd\u65b0\u6392\u5217\u64cd\u4f5c\u3002<\/p>\n

\u5171\u8f6d\u8f6c\u7f6e (')：\u5bf9\u4e8e\u5b9e\u6570\u77e9\u9635，\u5b83\u5c31\u662f\u666e\u901a\u7684\u8f6c\u7f6e（\u884c\u53d8\u5217，\u5217\u53d8\u884c）\u3002\u5bf9\u4e8e\u590d\u6570\u77e9\u9635，\u5b83\u4e0d\u4ec5\u8fdb\u884c\u8f6c\u7f6e，\u8fd8\u4f1a\u5bf9\u6bcf\u4e2a\u5143\u7d20\u53d6\u5176\u5171\u8f6d\u590d\u6570\u3002<\/p>\n

\u975e\u5171\u8f6d\u8f6c\u7f6e (.')：\u53ea\u8fdb\u884c\u8f6c\u7f6e\u64cd\u4f5c，\u4e0d\u6539\u53d8\u5143\u7d20\u7684\u503c，\u5373\u4f7f\u5b83\u4eec\u662f\u590d\u6570\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

% \u5b9e\u6570\u77e9\u9635<\/p>\n

A_real = [1, 2; 3, 4];<\/p>\n

disp('\u5b9e\u6570\u77e9\u9635 A_real:');<\/p>\n

disp(A_real);<\/p>\n

disp('A_real \u7684\u5171\u8f6d\u8f6c\u7f6e (A_real''):');<\/p>\n

disp(A_real');<\/p>\n

disp('A_real \u7684\u975e\u5171\u8f6d\u8f6c\u7f6e (A_real.''):');<\/p>\n

disp(A_real.');<\/p>\n

% \u590d\u6570\u77e9\u9635<\/p>\n

A_complex = [1+2i, 3-4i];<\/p>\n

disp('\u590d\u6570\u77e9\u9635 A_complex:');<\/p>\n

disp(A_complex);<\/p>\n

disp('A_complex \u7684\u5171\u8f6d\u8f6c\u7f6e (A_complex''):');<\/p>\n

disp(A_complex'); % \u5143\u7d20\u53d8\u4e3a 1-2i \u548c 3+4i<\/p>\n

disp('A_complex \u7684\u975e\u5171\u8f6d\u8f6c\u7f6e (A_complex.''):');<\/p>\n

disp(A_complex.'); % \u5143\u7d20\u4ecd\u4e3a 1+2i \u548c 3-4i <\/p>\n

2. flip \u7cfb\u5217\u51fd\u6570 – \u7ffb\u8f6c<\/h6>\n

flip \u7cfb\u5217\u51fd\u6570\u7528\u4e8e\u6cbf\u7279\u5b9a\u65b9\u5411\u7ffb\u8f6c\u77e9\u9635\u5143\u7d20\u7684\u987a\u5e8f\u3002<\/p>\n

flip(A)：\u6cbf\u4e3b\u5bf9\u89d2\u7ebf\u7ffb\u8f6c\u5143\u7d20，\u7b49\u540c\u4e8e rot90(A, 2)\u3002<\/span><\/p>\n

\u8fd9\u662f MATLAB R2016b \u5f15\u5165\u7684，\u7b49\u540c\u4e8e\u65e7\u7248\u7684 flipdim(A, 1)\u3002<\/p>\n

fliplr(A)：Flip Left-Right，\u5de6\u53f3\u7ffb\u8f6c（\u6cbf\u5782\u76f4\u8f74）\u3002<\/span><\/p>\n

flipud(A)：Flip Up-Down，\u4e0a\u4e0b\u7ffb\u8f6c（\u6cbf\u6c34\u5e73\u8f74）\u3002<\/span><\/p>\n

flip(A, dim)：\u6cbf dim \u6307\u5b9a\u7684\u7ef4\u5ea6\u7ffb\u8f6c\u3002<\/span><\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2, 3;<\/p>\n

\u00a0\u00a0\u00a0\u00a0 4, 5, 6;<\/p>\n

\u00a0\u00a0\u00a0\u00a0 7, 8, 9];<\/p>\n

disp('\u539f\u59cb\u77e9\u9635 A:');<\/p>\n

disp(A);<\/p>\n

disp('\u5de6\u53f3\u7ffb\u8f6c fliplr(A):');<\/p>\n

disp(fliplr(A));<\/p>\n

disp('\u4e0a\u4e0b\u7ffb\u8f6c flipud(A):');<\/p>\n

disp(flipud(A));<\/p>\n

% \u5bf9\u4e09\u7ef4\u6570\u7ec4\u6cbf\u7b2c3\u7ef4（\u9875）\u7ffb\u8f6c<\/p>\n

B = cat(3, A, A*10);<\/p>\n

disp('\u4e09\u7ef4\u6570\u7ec4 B \u7684\u7b2c\u4e00\u9875:');<\/p>\n

disp(B(:,:,1));<\/p>\n

disp('\u4e09\u7ef4\u6570\u7ec4 B \u7684\u7b2c\u4e8c\u9875:');<\/p>\n

disp(B(:,:,2));<\/p>\n

disp('\u6cbf\u7b2c3\u7ef4\u7ffb\u8f6c\u540e\u7684\u7b2c\u4e00\u9875 (\u539f\u7b2c\u4e8c\u9875):');<\/p>\n

disp(flip(B, 3)(:,:,1)); <\/p>\n

3. rot90 – \u65cb\u8f6c<\/h6>\n

rot90 \u51fd\u6570\u5c06\u77e9\u9635\u9006\u65f6\u9488\u65cb\u8f6c90\u5ea6\u7684\u6574\u6570\u500d\u3002<\/p>\n

\u8bed\u6cd5：B = rot90(A)<\/span><\/p>\n

\u8bed\u6cd5：B = rot90(A, k)<\/span><\/p>\n

\u5176\u4e2d k \u662f\u6574\u6570，\u8868\u793a\u9006\u65f6\u9488\u65cb\u8f6c 90*k \u5ea6\u3002k \u53ef\u4ee5\u4e3a\u8d1f\u6570，\u8868\u793a\u987a\u65f6\u9488\u65cb\u8f6c\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [1, 2, 3;<\/p>\n

\u00a0\u00a0\u00a0\u00a0 4, 5, 6];<\/p>\n

disp('\u539f\u59cb\u77e9\u9635 A:');<\/p>\n

disp(A);<\/p>\n

disp('\u9006\u65f6\u9488\u65cb\u8f6c90\u5ea6 rot90(A):');<\/p>\n

disp(rot90(A));<\/p>\n

disp('\u9006\u65f6\u9488\u65cb\u8f6c180\u5ea6 rot90(A, 2) (\u7b49\u540c\u4e8e flip(A)):');<\/p>\n

disp(rot90(A, 2));<\/p>\n

disp('\u987a\u65f6\u9488\u65cb\u8f6c90\u5ea6 rot90(A, -1):');<\/p>\n

disp(rot90(A, -1)); <\/p>\n

4. sort \u548c sortrows – \u6392\u5e8f<\/h6>\n

\u6392\u5e8f\u662f\u4e00\u79cd\u7279\u6b8a\u7684\u91cd\u65b0\u6392\u5217，\u5b83\u6839\u636e\u5143\u7d20\u7684\u503c\u6216\u7279\u5b9a\u884c\u7684\u503c\u6765\u91cd\u65b0\u7ec4\u7ec7\u77e9\u9635\u3002<\/p>\n

sort(A)：\u5bf9 A \u7684\u6bcf\u4e00\u5217\u8fdb\u884c\u5347\u5e8f\u6392\u5e8f\u3002<\/span><\/p>\n

sort(A, dim)：\u6cbf dim \u6307\u5b9a\u7684\u7ef4\u5ea6\u8fdb\u884c\u6392\u5e8f\u3002<\/span><\/p>\n

sort(A, dim, 'descend')：\u8fdb\u884c\u964d\u5e8f\u6392\u5e8f\u3002<\/span><\/p>\n

[B, I] = sort(…)：\u8fd4\u56de\u6392\u5e8f\u540e\u7684\u77e9\u9635 B \u548c\u7d22\u5f15\u77e9\u9635 I\u3002<\/span><\/p>\n

I \u8bb0\u5f55\u4e86\u539f\u59cb\u5143\u7d20\u5728\u65b0\u77e9\u9635\u4e2d\u7684\u4f4d\u7f6e，\u975e\u5e38\u6709\u7528\u3002<\/p>\n

sortrows(A)<\/span><\/p>\n

\u6839\u636e\u77e9\u9635 A \u7684\u7b2c\u4e00\u5217\u7684\u503c，\u5bf9\u884c\u8fdb\u884c\u5347\u5e8f\u6392\u5e8f\u3002<\/p>\n

sortrows(A, col)<\/span><\/p>\n

\u6839\u636e col \u6307\u5b9a\u7684\u5217（\u53ef\u4ee5\u662f\u5411\u91cf，\u5982 [3, 1] \u8868\u793a\u5148\u6309\u7b2c3\u5217\u6392，\u518d\u6309\u7b2c1\u5217\u6392）\u5bf9\u884c\u8fdb\u884c\u6392\u5e8f\u3002<\/p>\n

\u793a\u4f8b：<\/p>\n

A = [3, 6, 5;<\/p>\n

\u00a0\u00a0\u00a0\u00a0 1, 2, 4;<\/p>\n

\u00a0\u00a0\u00a0\u00a0 4, 1, 3];<\/p>\n

disp('\u539f\u59cb\u77e9\u9635 A:');<\/p>\n

disp(A);<\/p>\n

% \u5bf9\u6bcf\u4e00\u5217\u8fdb\u884c\u6392\u5e8f<\/p>\n

disp('\u5bf9\u6bcf\u4e00\u5217\u6392\u5e8f sort(A):');<\/p>\n

disp(sort(A));<\/p>\n

% \u5bf9\u6bcf\u4e00\u884c\u8fdb\u884c\u6392\u5e8f<\/p>\n

disp('\u5bf9\u6bcf\u4e00\u884c\u6392\u5e8f sort(A, 2):');<\/p>\n

disp(sort(A, 2));<\/p>\n

% \u83b7\u53d6\u6392\u5e8f\u7d22\u5f15<\/p>\n

[B, I] = sort(A(:, 1)); % \u5bf9\u7b2c\u4e00\u5217\u6392\u5e8f<\/p>\n

disp('\u7b2c\u4e00\u5217\u6392\u5e8f\u540e\u7684\u503c B:');<\/p>\n

disp(B');<\/p>\n

disp('\u6392\u5e8f\u7d22\u5f15 I:');<\/p>\n

disp(I'); % I=[2; 1; 3] \u8868\u793a\u539fA\u7684\u7b2c2\u4e2a\u5143\u7d20\u6700\u5c0f，\u7b2c1\u4e2a\u6b21\u4e4b，\u7b2c3\u4e2a\u6700\u5927<\/p>\n

% \u6839\u636e\u7b2c2\u5217\u5bf9\u884c\u8fdb\u884c\u6392\u5e8f<\/p>\n

disp('\u6839\u636e\u7b2c2\u5217\u5bf9\u884c\u6392\u5e8f sortrows(A, 2):');<\/p>\n

disp(sortrows(A, 2)); <\/p>\n

\u603b\u7ed3<\/span><\/h5>\n\n\n\n\n\n\n\n\n\n\n\n
\n

\u529f\u80fd\u5206\u7c7b<\/span><\/p>\n<\/td>\n

\n

\u51fd\u6570<\/span><\/p>\n<\/td>\n

\n

\u4e3b\u8981\u7528\u9014<\/span><\/p>\n<\/td>\n

\n

\u5173\u952e\u70b9<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u91cd\u6784<\/span><\/p>\n<\/td>\n

\n

reshape<\/span><\/p>\n<\/td>\n

\n

\u6539\u53d8\u77e9\u9635\u5f62\u72b6（\u5982\u77e9\u9635\u8f6c\u5411\u91cf\u3001\u6539\u53d8\u56fe\u50cf\u5c3a\u5bf8）<\/span><\/p>\n<\/td>\n

\n

\u5217\u4f18\u5148<\/span>，\u603b\u5143\u7d20\u6570\u4e0d\u53d8<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

permute<\/span><\/p>\n<\/td>\n

\n

\u9ad8\u7ef4\u6570\u7ec4\u7684\u7ef4\u5ea6\u91cd\u6392（\u5982\u8f6c\u7f6e\u56fe\u50cf\u7684<\/span>RGB<\/span>\u901a\u9053）<\/span><\/p>\n<\/td>\n

\n

\u6539\u53d8\u7ef4\u5ea6\u8eab\u4efd，\u529f\u80fd\u5f3a\u5927<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

squeeze<\/span><\/p>\n<\/td>\n

\n

\u79fb\u9664\u957f\u5ea6\u4e3a<\/span>1<\/span>\u7684<\/span>\u201c Singleton \u201d<\/span>\u7ef4\u5ea6<\/span><\/p>\n<\/td>\n

\n

\u4f7f\u6570\u7ec4\u66f4\u7d27\u51d1，\u5bf9\u4e8c\u7ef4\u5411\u91cf\u65e0\u6548<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

shiftdim<\/span><\/p>\n<\/td>\n

\n

\u7ef4\u5ea6\u7684\u5faa\u73af\u79fb\u4f4d<\/span><\/p>\n<\/td>\n

\n

\u5c06\u7279\u5b9a\u7ef4\u5ea6\u79fb\u5230\u524d\u9762，\u65b9\u4fbf\u6279\u91cf\u64cd\u4f5c<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

\u91cd\u65b0\u6392\u5217<\/span><\/p>\n<\/td>\n

\n

'<\/span>\/<\/span>.'<\/span><\/p>\n<\/td>\n

\n

\u77e9\u9635\u8f6c\u7f6e<\/span><\/p>\n<\/td>\n

\n

'<\/span>\u662f\u5171\u8f6d\u8f6c\u7f6e，<\/span>.'<\/span>\u662f\u7eaf\u8f6c\u7f6e<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

flip<\/span>\/<\/span>fliplr<\/span>\/<\/span>flipud<\/span><\/p>\n<\/td>\n

\n

\u7ffb\u8f6c\u77e9\u9635\u5143\u7d20<\/span><\/p>\n<\/td>\n

\n

fliplr<\/span>\u5de6\u53f3\u7ffb，<\/span>flipud<\/span>\u4e0a\u4e0b\u7ffb<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

rot90<\/span><\/p>\n<\/td>\n

\n

\u77e9\u9635\u65cb\u8f6c<\/span><\/p>\n<\/td>\n

\n

\u9006\u65f6\u9488\u65cb\u8f6c<\/span>90<\/span>\u5ea6\u7684\u500d\u6570<\/span><\/p>\n<\/td>\n<\/tr>\n

\n

sort<\/span>\/<\/span>sortrows<\/span><\/p>\n<\/td>\n

\n

\u6309\u503c\u6392\u5e8f<\/span><\/p>\n<\/td>\n

\n

sort<\/span>\u6cbf\u7ef4\u5ea6\u6392，<\/span>sortrows<\/span>\u6309\u884c\u6392<\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

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