Publication database of NCMM , project MORE and MathMAC center.
Dear guest, welcome to this publication database. As an anonymous user, you will probably not have edit rights. Also, the collapse status of the topic tree will not be persistent. If you like to have these and other options enabled, you might ask Jaroslav Hron for a login account.
This site is powered by Aigaion - A PHP/Web based management system for shared and annotated bibliographies. For more information visit https://github.com/aigaion.
 [BibTeX] [RIS] [Request]
On numerical behavior of matrix splitting iteration methods
Type of publication: Article
Citation:
Publication status: Published
Journal: SIAM Journal on Numerical Analysis (SINUM)
Volume: 53
Number: 4
Year: 2015
Pages: 1116-1137
DOI: 10.1137/140987936
Abstract: We study numerical behavior of stationary single- or two-step matrix splitting iteration methods for solving large sparse systems of linear equations. We show that inexact solutions of inner linear systems associated with the matrix splittings may considerably influence the convergenceand the ac- curacy of the approximate solutions computed in finite precision arithmetic. For a general stationary matrix splitting iteration method, we analyze two mathematically equivalent implementations and find the corresponding componentwise or normwise forward or backward stable implementation.
Preprint project: NCMM
Preprint year: 2014
Preprint number: 18
Preprint ID: NCMM/2014/18
Keywords: backward error, convergence rate, matrix splitting, rounding error analysis, stationary iteration method
Authors Bai, Zhong-Zhi
Rozložník, Miroslav
Added by: [JP]
Total mark: 0
Attachments
  • 20140709195108.pdf
Notes
    Topics