Title: A Parallel Algorithm for Householder Tridiagonalization
Authors: Christopher Smith, Bruce Hendrickson and Elizabeth Jessup
Status: In Proc. 5th SIAM Conf. Appl. Lin. Alg.

Abstract:

We present a parallel algorithm for reducing a dense symmetric matrix to tridiagonal form. The algorithm employs a square torus-wrap mapping of matrix elements to processors to reduce communication and uses level 3 BLAS routines for efficient numerical kernels. We demonstrate the efficiency of this approach with performance results on the Intel Paragon.

Download full paper.