Multiplying three matrices in BLAS with the middle one being diagonal
-
30-09-2019 - |
문제
A
is an MxK
matrix, B
is a vector of size K
, and C
is a KxN
matrix. What set of BLAS operators should I use to compute the matrix below?
M = A*diag(B)*C
One way to implement this would be using three for loops like below
for (int i=0; i<M; ++i)
for (int j=0; j<N; ++j)
for (int k=0; k<K; ++k)
M(i,j) = A(i,k)*B(k)*C(k,j);
Is it actually worth implementing this in BLAS in order to gain better speed efficiency?
해결책
First compute D = diag(B)*C
, then use the appropriate BLAS matrix-multiply to compute A*D
.
You can implement diag(B)*C
using a loop over elements of B
and calling to the appropriate BLAS scalar-multiplication routine.
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