A PARALLEL BLOCK LANCZOS ALGORITHM FOR DISTRIBUTED MEMORY ARCHITECTURES
作者:
MARIOROSARIO GUARRACINO,
FRANCESCA PERLA,
期刊:
Parallel Algorithms and Applications
(Taylor Available online 1994)
卷期:
Volume 4,
issue 3-4
页码: 211-221
ISSN:1063-7192
年代: 1994
DOI:10.1080/10637199408915465
出版商: Taylor & Francis Group
关键词: Eigenvalues problems;sparse symmetric matrices;Lanczos algorithm;distributed memory message passing architectures;G.1.3;G.4
数据来源: Taylor
摘要:
In this paper we propose a block Lanczos algorithm suitable for MIMD distributed memory message passing architectures. It is based on an efficient parallelizaiion of basic linear algebra operations, such as matrix-matrix, sparse matrix-matrix, and dense QR factorization. We assume an unidirectional ring as connection topology and a block column wrap-around matrices distribution. We have chosen this approach to improve load-balancing, to eliminate the intersection of messages and to decrease communication
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