Proper Weak Regular Splitting and its Application to Convergence of Alternating Iterations
Numerical Analysis
2016-08-23 v2
Abstract
The theory of matrix splitting is a useful tool for finding solution of rectangular linear system of equations, iteratively. The purpose of this paper is two-fold. Firstly, we revisit theory of weak regular splittings for rectangular matrices. Secondly, we propose an alternating iterative method for solving rectangular linear systems by using the Moore-Penrose inverse and discuss its convergence theory, by extending the work of Benzi and Szyld Numererische Mathematik 76 (1997) 309-321; MR1452511]. Furthermore, a comparison result is obtained which insures faster convergence rate of the proposed alternating iterative scheme.
Cite
@article{arxiv.1602.01972,
title = {Proper Weak Regular Splitting and its Application to Convergence of Alternating Iterations},
author = {Debasisha Mishra},
journal= {arXiv preprint arXiv:1602.01972},
year = {2016}
}
Comments
18 pages