generate multi Diagonal matrices

Question

Seahawks 2020-11-10

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/642750-generate-multi-diagonal-matrices

编辑： Setsuna Yuuki. 2020-11-10

I need help. I have beable to generate 100 of random matrices H. then try to get S diagonal matrix but it is not succesful as both s11=0, s22=0, however s33 value is correct.

N = 100;
for j=1:length(N)
   H = 0.5.*(randn(3,3, N) +(1i) * randn(3,3, N));
   
   for k=1:length(H)
       [S(3,3,k)]= svd(H(3,3,k)); 
       %[U(3,3,k),S(3,3,k),V(3,3,k)]= svd(matrices(3,3,k));
   end    
end

H(:,:,92) =

-0.3382 + 0.3345i 0.1304 + 0.0842i -0.4230 + 0.3986i

0.0729 - 0.5495i -0.3290 - 0.2820i -0.2131 - 0.1437i

0.3096 + 0.0466i 0.0022 - 0.3723i -0.2904 - 0.0265i

S(:,:,92) =

0 0 0

0 0 0.2916

Please advise

Thanks

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Answer 1

Setsuna Yuuki. 2020-11-10

0
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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/642750-generate-multi-diagonal-matrices#answer_539675

在 MATLAB Online 中打开

In your code, you are only calculating the svd of the column 3 and row 3.

N = 100;
for j=1:length(N)
   H = 0.5.*(randn(3,3, N) +(1i) * randn(3,3, N));
   
   for k=1:length(H)
       [S(1,1,k)]= svd(H(1,1,k)); % row 1 column 1
       [S(2,2,k)]= svd(H(2,2,k)); % row 2 column 2       
       [S(3,3,k)]= svd(H(3,3,k)); % row 3 column 3
       %[U(3,3,k),S(3,3,k),V(3,3,k)]= svd(matrices(3,3,k));
   end    
end