summation of products of matrices

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Pasquale Valentini 2022-11-4

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评论： Daniel Neubauer 2022-11-7

I would like so have a fast solution to this problem

where

is an p x m matrices and S is a symmetric matrices p x p, where m and p are very large

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回答（1 个）

Daniel Neubauer 2022-11-4

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https://ww2.mathworks.cn/matlabcentral/answers/1843388-summation-of-products-of-matrices#answer_1091213

编辑：Daniel Neubauer 2022-11-4

在 MATLAB Online 中打开

take a look at

Z = pagemtimes(X,Y)

is that what you need?

p=3;
m=4;
i=5;
E=ones(p,p,i);
A=rand(p,m,i);
Sum=sum(pagemtimes(pagemtimes(A,'C',E,'N'),A),3)
Sum = 4×4
   16.1794   14.6014   11.9153   11.5921
   14.6014   14.7036   11.2311   10.9738
   11.9153   11.2311    9.4835    8.7488
   11.5921   10.9738    8.7488    9.6928