Efficient one-sided Jacobi algorithms for singular value decomposition and the symmetric eigenproblem

155. B. B. Zhou, R. P. Brent and M. H. Kahn, Efficient one-sided Jacobi algorithms for singular value decomposition and the symmetric eigenproblem, Proc. IEEE First International Conference on Algorithms and Architectures for Parallel Processing (ICA3PP), IEEE Press, 1995, 256-262.

Preliminary version: B. B. Zhou, R. P. Brent and M. H. Kahn, "A one-sided Jacobi algorithm for the symmetric eigenvalue problem", Proc. Third Parallel Computing Workshop (PCW'94) Fujitsu Laboratories, Kawasaki, Japan, November 1994, P1-Q-1--P1-Q-7.

Paper (preliminary version): dvi (22K), pdf (89K), ps (69K).

Abstract

A method which uses one-sided Jacobi to solve the symmetric eigenvalue problem in parallel is presented. We describe a parallel ring ordering for one-sided Jacobi computation. One distinctive feature of this ordering is that it can sort column norms in each sweep, which is very important to achieve fast convergence. Experimental results on both the Fujitsu AP1000 and the Fujitsu VPP500 are reported.

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