matrices multiplication , the description below

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Matthew Worker 2021-6-27

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https://ww2.mathworks.cn/matlabcentral/answers/866275-matrices-multiplication-the-description-below

评论： Rena Berman 2021-12-16

% W,H values is for example .. They can be with any dimension but always the number of rows of H is equal to the number of columns of W and the matrices are not squared .

% when i=1 ... Alfa_1 is the multiplication between the first row of H and the first column of W and Alfa _2 is the sum of multiplying the other rows and columns except for the multiplication between the first row of H and the first column of W

% when i=2 ... Alfa_1 is the between the second row of H and the second column of W and Alfa _2 is the sum of multiplying the other rows and columns except for the multiplication between the second row of H and the second column of W.

And goes like this to the end of iterations, also (k) is equal to the number of rows of H and the number of columns of W

H=[1 2 2 1 ; 3 1 1 2;1 3 2 4]
W=[4 1 2 ;1 3 2 ;2 1 3;2 1 4]
for i=1:k
                  Alfa_1 = H(i,:)*W(:,i);
                  Alfa_2 = ........
                  
               end

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Rik 2021-12-15

matrices multiplication , the description below

% W,H values is for example .. They can be with any dimension but always the number of rows of H is equal to the number of columns of W and the matrices are not squared .

% when i=1 ... Alfa_1 is the multiplication between the first row of H and the first column of W and Alfa _2 is the sum of multiplying the other rows and columns except for the multiplication between the first row of H and the first column of W

% when i=2 ... Alfa_1 is the between the second row of H and the second column of W and Alfa _2 is the sum of multiplying the other rows and columns except for the multiplication between the second row of H and the second column of W.

And goes like this to the end of iterations, also (k) is equal to the number of rows of H and the number of columns of W

H=[1 2 2 1 ; 3 1 1 2;1 3 2 4]
W=[4 1 2 ;1 3 2 ;2 1 3;2 1 4]
for i=1:k
                  Alfa_1 = H(i,:)*W(:,i);
                  Alfa_2 = ........
                  
               end

Rena Berman 2021-12-16

(Answers Dev) Restored edit

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Answer 1

Soniya Jain 2021-6-27

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/866275-matrices-multiplication-the-description-below#answer_734455

I consider you want to find Alfa_1 and Alfa_2 at each iteration, so you can modify the above code as,

H=[1 2 2 1 ; 3 1 1 2;1 3 2 4];
W=[4 1 2 ;1 3 2 ;2 1 3;2 1 4];
[k,l]=size(H);
for i=1:k
  Alfa_1(i) = H(i,:)*W(:,i);
  Alfa_2(i) = 0;
  for j=1:k
    Alfa_2(i) = Alfa_2(i) + H(i,:)*W(:,j);
  end
  Alfa_2(i) = Alfa_2(i) - Alfa_1(i);
end