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Additional Results on Convergence of Alternating Iterations Involving Rectangular Matrices.

Authors :
Giri, Chinmay Kumar
Mishra, Debasisha
Source :
Numerical Functional Analysis & Optimization. 2017, Vol. 38 Issue 2, p160-180. 21p.
Publication Year :
2017

Abstract

Different classes of matrix splittings of semi-monotone matrices lead to many comparison results, which are useful tools in examining the convergence rate of iterative methods for solving rectangular systems of linear equations in a faster way. In this context, the theory of alternating iterations for rectangular matrices was introduced recently, in order to arrive at the desired solution of accuracy or at the exact solution. In this article, we expand convergence theory of such alternating iterations and obtain comparison results for such iterations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01630563
Volume :
38
Issue :
2
Database :
Academic Search Index
Journal :
Numerical Functional Analysis & Optimization
Publication Type :
Academic Journal
Accession number :
121166885
Full Text :
https://doi.org/10.1080/01630563.2016.1232732