Convergence of Nonstationary Iterative Methods for Solving Singular Linear Equations with Index One. (2nd November 2017)

• Record Type: Journal Article
• Authors: Ma, Haifeng; Xiao, Cheng
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 11(2017)
• Page Start: 1507
• Page End: 1525
• Publication Date: 2017-11-02
• Subjects: Group inverse -- index one -- multisplitting iterative scheme -- P-regular splitting -- quotient convergence -- singular linear equations; 15A09 -- 65F20; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1347571
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this paper, we investigate the nonstationary iterative scheme for solving consistent singular linear system with index one. We utilize the group inverse to present a sufficient condition for the convergence of the nonstationary iterative method. Our result extends the known results of the stationary iterative scheme. Finally, we present a sufficient condition for the multisplitting algorithm and provide numerical examples to illustrate the advantages of nonstationary method.