Title
A modified product preconditioner for indefinite and asymmetric generalized saddle-point matrices
Abstract
In this paper, we present a new modified product preconditioner (MP) for a class of large sparse linear systems with indefinite and asymmetric matrices. The eigenvalue distribution and form of the eigenvectors of the presented new preconditioned matrix and its minimal polynomial are investigated. Some numerical experiments illustrate that the proposed new preconditioner performs better than block diagonal preconditioner, block triangular preconditioner, constraint preconditioner and product preconditioner.
Year
DOI
Venue
2015
10.1016/j.amc.2015.06.032
Applied Mathematics and Computation
Keywords
Field
DocType
Generalized saddle-point matrix,MP preconditioner,Spectral properties,Krylov subspace,Numerical test
Krylov subspace,Mathematical optimization,Saddle point,Preconditioner,Linear system,Mathematical analysis,Matrix (mathematics),Minimal polynomial (linear algebra),Block matrix,Eigenvalues and eigenvectors,Mathematics
Journal
Volume
ISSN
Citations 
268
0096-3003
2
PageRank 
References 
Authors
0.36
31
3
Name
Order
Citations
PageRank
Jia Tang120.36
Yajun Xie280.77
Changfeng Ma319729.63