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Efficient Vector and Parallel Manipulation of Tensor Products

Publish Date: Friday, March 01, 1996

ACM Transactions on Mathematical Software (TOMS), Volume 22 , Issue 1 (March 1996), pp. 18-23.

See listing in ACM Guide to Computing Literature

Abstract:
We present efficient vector and parallel methods for manipulating tensor products of matrices. We consider both computing the matrix-vector product A1 &cdots; AKx and solving the system of linear equations A1 &cdots; AKx=b . The methods described are independent of K. We accompany this article with a companion algorithm which describes an implementation of a complete set of tensor product routines based on LAPACK and the Level 2 and 3 Basic Linear Algebra Subprograms (BLAS) which provide vectorization and parallelization.



Publication Detail
Author
Co-Author(s)
Wayne Dyksen