"Wide or tall" and "sparse matrix dense matrix" multiplications

  • Authors:
  • Gary W. Howell

  • Affiliations:
  • North Carolina State University Raleigh, North Carolina

  • Venue:
  • Proceedings of the 19th High Performance Computing Symposia
  • Year:
  • 2011

Quantified Score

Hi-index 0.00

Visualization

Abstract

Sparse matrix dense matrix (SMDM) multiplications are useful in block Krylov or block Lanczos methods. SMDM computations are AU, and VA, multiplication of a large sparse m x n matrix A by a matrix V of k rows of length m or a matrix U of k columns of length n, k m, k n. In a block Lanczos or Krylov algorithm, matrix matrix multiplications with the "tall" U and "wide" V are also needed. This note relates some experience in efficient SMDM and "Wide or Tall" computations on multi-core architectures.