A parallel structured divide-and-conquer algorithm for symmetric tridiagonal eigenvalue problems

In this paper, a parallel structured divide-and-conquer (PSDC) eigensolver is proposed for symmetric tridiagonal matrices based on ScaLAPACK and a parallel structured matrix multiplication algorithm, called PSMMA. Computing the eigenvectors via matrix-matrix multiplications is the most computational...

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Bibliographic Details

Published in:	IEEE transactions on parallel and distributed systems Vol. 32; no. 2; p. 1
Main Authors:	Liao, Xia, Li, Shengguo, Lu, Yutong, Roman, Jose E. E.
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.02.2021 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Algorithms Cauchy-like matrix Computation Divide-and-conquer Eigenvalues Eigenvectors Mathematical analysis Matrix methods Multiplication PSMMA PUMMA Algorithm Rank-structured matrix ScaLAPACK Structured matrices
ISSN:	1045-9219, 1558-2183
Online Access:	Get full text
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