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Modify an algorithm to perform vector operations by eliminating the inner most for loop
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Let A and B be square matrices (both stored column-wise) in R^{nxn} with B an Upper Triangular matrix. Write the MATLAB algorithm that gives C = A x B.
Here's my algorithm
function C = scalarMultRegUpper(A,B)
[n,n] = size(A);
[n,n]=size(B);
C=zeros(n,n);
for j=1:n
for k=1:n
for i=1:n
C(i,j)=C(i,j) + B(k,j)*A(i,k);
end
end
end
Now, I'm asked to modify my algorithm to perform vector operations by eliminating the inner most for loop. How to do that? How will the algorithm change?
11 Comments
Vladimir Sovkov
on 20 Sep 2020
Analogously. Analyze which elements of A are zero with every fixed k and exlude them from the loop over i. The product of upper triangular matrices is the upper triangular matrix.
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