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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 个评论
Vladimir Sovkov
2020-9-20
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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