UM  > 科技學院  > 數學系
Optimal preconditioners for functions of matrices
Jin X.-Q.; Zhao Z.; Tam S.-C.
2014-09-15
Source PublicationLinear Algebra and Its Applications
ISSN00243795
Volume457Pages:224-243
Abstract

The optimal preconditioner (A) of a given matrix A was proposed in 1988 by T. Chan [6]. Since then, it has been proved to be efficient for solving a large class of structured systems. In this paper, we construct the optimal preconditioners for different functions of matrices. More precisely, let f be a function of matrices from Cn× to Cn×. Given A∈Cn×, there are two possible optimal preconditioners for f(A): (f(A)) and f( (A)). In the paper, we study properties of both (f(A)) and f((A)) for different functions of matrices. Numerical experiments are given to illustrate the efficiency of the optimal preconditioners when they are used to solve f(A)x=b. © 2014 Elsevier Inc.

KeywordFunctions Of Matrices Optimal Preconditioners Pcg Method Toeplitz Matrix
DOIhttps://doi.org/10.1016/j.laa.2014.05.023
URLView the original
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000340330700014
PublisherELSEVIER SCIENCE INC
Fulltext Access
Citation statistics
Cited Times [WOS]:3   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorZhao Z.
AffiliationDepartment of Mathematics, University of Macau, Macao, PR China
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Jin X.-Q.,Zhao Z.,Tam S.-C.. Optimal preconditioners for functions of matrices[J]. Linear Algebra and Its Applications,2014,457:224-243.
APA Jin X.-Q.,Zhao Z.,&Tam S.-C..(2014).Optimal preconditioners for functions of matrices.Linear Algebra and Its Applications,457,224-243.
MLA Jin X.-Q.,et al."Optimal preconditioners for functions of matrices".Linear Algebra and Its Applications 457(2014):224-243.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Jin X.-Q.]'s Articles
[Zhao Z.]'s Articles
[Tam S.-C.]'s Articles
Baidu academic
Similar articles in Baidu academic
[Jin X.-Q.]'s Articles
[Zhao Z.]'s Articles
[Tam S.-C.]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Jin X.-Q.]'s Articles
[Zhao Z.]'s Articles
[Tam S.-C.]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.