Exploiting fast matrix multiplication within the level 3 BLAS
ACM Transactions on Mathematical Software (TOMS)
A unified convergence theory for abstract multigrid or multilevel algorithms, serial and parallel
SIAM Journal on Numerical Analysis
GEMMW: a portable level 3 BLAS Winograd variant of Strassen's matrix-matrix multiply algorithm
Journal of Computational Physics
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The Fortran-90 standard requires an intrinsic function matmul which multiplies two matrices together to produce a third as the result. However, the standard does not specify which algorithm to use. We consider an extension to the matmul syntax which allows a Winograd variant of Strassen's algorithm to be added. We discuss an implementation that is in a commercial Fortran-90 offering.