Title
Implementing the one-sided Jacobi method on a 2D/3D mesh multicomputer
Abstract
The paper discusses the implementation of a parallel algorithm to compute the eigenvalues and eigenvectors of a real symmetric matrix on a mesh multicomputer. The algorithm uses the one-sided Jacobi method and a two-dimensional organization of the nodes. It is aimed at reducing the communication cost incurred by one-dimensional algorithms found in the literature. The performance of the proposed algorithm on a squared 2D/3D mesh multicomputer is assessed through simple analytical models of execution time. The models show that the performance improvement over one-dimensional algorithms can be very noticeable, specially for a large number of nodes.
Year
DOI
Venue
2001
10.1016/S0167-8191(01)00084-9
Parallel Computing
Keywords
Field
DocType
one-sided jacobi method,mesh multicomputer,eigenvalues and eigenvectors,one-dimensional and two-dimensional algorithms,jacobi orderings,symmetric matrix,jacobi method,parallel algorithm
Jacobi rotation,Polygon mesh,Jacobi method,Computer science,Parallel algorithm,Parallel computing,Jacobi eigenvalue algorithm,Symmetric matrix,Theoretical computer science,Eigenvalues and eigenvectors,Performance improvement
Journal
Volume
Issue
ISSN
27
9
Parallel Computing
Citations 
PageRank 
References 
2
0.51
4
Authors
3
Name
Order
Citations
PageRank
Dolors Royo Valles1607.20
Miguel Valero-García2599.01
Antonio González33178229.66