The PRISM project [electronic resource] : Infrastructure and algorithms for parallel eigensolvers.

The goal of the PRISM project is the development of infrastructure and algorithms for the parallel solution of eigenvalue problems. We are currently investigating a complete eigensolver based on the Invariant Subspace Decomposition Algorithm for dense symmetric matrices (SYISDA). After briefly revie...

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Bibliographic Details
Online Access: Online Access
Corporate Author: Argonne National Laboratory (Researcher)
Format: Government Document Electronic eBook
Language:English
Published: Washington, D.C. : Oak Ridge, Tenn. : United States. Department of Defense ; distributed by the Office of Scientific and Technical Information, U.S. Department of Energy, 1993.
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MARC

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245 0 4 |a The PRISM project  |h [electronic resource] :  |b Infrastructure and algorithms for parallel eigensolvers. 
260 |a Washington, D.C. :  |b United States. Department of Defense ;  |a Oak Ridge, Tenn. :  |b distributed by the Office of Scientific and Technical Information, U.S. Department of Energy,  |c 1993. 
300 |a 10 p. :  |b digital, PDF file. 
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500 |a 12/31/1993. 
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500 |a "DE94005125" 
500 |a ": DM28E04120" 
500 |a Institute of Electrical and Electronic Engineers (IEEE) meeting on scalable parallel libraries,Starkville, MS (United States),6-8 Oct 1993. 
500 |a Sun, X.; Bischof, C.; Huss-Lederman, S.; Tsao, A. 
520 3 |a The goal of the PRISM project is the development of infrastructure and algorithms for the parallel solution of eigenvalue problems. We are currently investigating a complete eigensolver based on the Invariant Subspace Decomposition Algorithm for dense symmetric matrices (SYISDA). After briefly reviewing the SYISDA approach, we discuss the algorithmic highlights of a distributed-memory implementation of an eigensolver based on this approach. These include a fast matrix-matrix multiplication algorithm, a new approach to parallel band reduction and tridiagonalization, and a harness for coordinating the divide-and-conquer parallelism in the problem. We also present performance results of these kernels as well as the overall SYISDA implementation on the Intel Touchstone Delta prototype and the IBM SP/1. 
536 |b W-31109-ENG-38. 
650 7 |a Parallel Processing.  |2 local. 
650 7 |a Algorithms.  |2 local. 
650 7 |a Eigenvalues.  |2 local. 
650 7 |a Factorization.  |2 local. 
650 7 |a Matrices.  |2 local. 
650 7 |a Analytical Solution.  |2 local. 
650 7 |a General And Miscellaneous//Mathematics, Computing, And Information Science.  |2 edbsc. 
710 2 |a Argonne National Laboratory.  |4 res. 
710 1 |a United States.  |b Department of Defense.  |4 spn. 
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