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How to do the following matrix multiplication more efficient in Matlab?


How to do the following matrix multiplication more efficient in Matlab?

By : ThreeSecSnare
Date : November 22 2020, 09:00 AM
hope this fix your issue You can greatly reduce the number of operations using associativity and the transpose-product property:
code :
t = B*A*b;
a = abs(t).^2;


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Efficient way in MATLAB to apply the same left and right matrix multiplication to a large set of matrices

Efficient way in MATLAB to apply the same left and right matrix multiplication to a large set of matrices


By : rahul lodhi
Date : March 29 2020, 07:55 AM
I think the issue was by ths following , Your biggest problem is not the loops. For matrices so small calling MATLABs A*B introduces a lot of overhead. The best thing you can do is to store all the matrices in a large 4 x n_matrices matrix and spell out the matrix multiplications manually:
code :
A = rand(4, 1000);
B = rand(4, 1000);

tic;
C = zeros(size(A));
C(1,:) = A(1,:).*B(1,:) + A(3,:).*B(2,:);
C(2,:) = A(2,:).*B(1,:) + A(4,:).*B(2,:);
C(3,:) = A(1,:).*B(3,:) + A(3,:).*B(4,:);
C(4,:) = A(2,:).*B(3,:) + A(4,:).*B(4,:);
toc

Elapsed time is 0.020950 seconds.
Do inner workings of Matlab do Full Matrix Multiplication when Matrix Multiplication is Argument for Trace?

Do inner workings of Matlab do Full Matrix Multiplication when Matrix Multiplication is Argument for Trace?


By : Dima Koshelev
Date : March 29 2020, 07:55 AM
this will help Yes, MATLAB calculates the product, but you can avoid it!
First, let's see what MATLAB does if you do f = trace(A*B):
code :
tic
n = 6e3;          
A = rand(n);
B = rand(n);

f = trace(A*B);

toc
pause(10)

tic
C(n) = 0;
for ii = 1:n
C(ii) = sum(A(ii,:)*B(:,ii));
end
g = sum(C);

toc

abs(f-g) < 1e-10

Elapsed time is 11.982804 seconds.
Elapsed time is 0.540285 seconds.

ans =

     1
x = A\b; 
x = inv(A)*b;
Matlab efficient sparse matrix multiplication

Matlab efficient sparse matrix multiplication


By : Ryuzaki dono
Date : March 29 2020, 07:55 AM
With these it helps I have a sparse matrix which only has elements in three diagonals. E.g. , Here's one way:
code :
C = bsxfun(@times, A, B)
Efficient matrix multiplication in Matlab

Efficient matrix multiplication in Matlab


By : Ishant Kadu
Date : March 29 2020, 07:55 AM
Hope this helps Take advantage of the implicit expansion feature of bsxfun. Use permute to have your B as an Nx1xM matrix:
Efficient multiplication of a matrix and a "list of matrices" in MATLAB

Efficient multiplication of a matrix and a "list of matrices" in MATLAB


By : Sheikh
Date : March 29 2020, 07:55 AM
this one helps. TL;DR: this turned out to be slower than your code, I just wanted to share what I tried anyway...
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