Article citationsMore >>

Howell G., Stephens D., ELMRES: an oblique projection solver for sparse systems of linear equations, technical report, Florida Institute of Technology, 2000.

has been cited by the following article:

Article

A Preconditioned ELMRES Implementation

1Department of Mathematics, Islamic Azad University, Bardaskan Branch, Bardaskan, Iran


Applied Mathematics and Physics. 2013, Vol. 1 No. 4, 90-93
DOI: 10.12691/amp-1-4-1
Copyright © 2013 Science and Education Publishing

Cite this paper:
Mehdi Delkhosh, Hossein Zareamoghaddam. A Preconditioned ELMRES Implementation. Applied Mathematics and Physics. 2013; 1(4):90-93. doi: 10.12691/amp-1-4-1.

Correspondence to: Mehdi Delkhosh, Department of Mathematics, Islamic Azad University, Bardaskan Branch, Bardaskan, Iran. Email: mehdidelkhosh@yahoo.com

Abstract

In this paper we review the ELMentary RESidual(ELMRES) algorithm for solving linear system of equations. ELMRES is a krylov subspace method which uses the Hessenberg transformation as the projection technique for reducing the dimension of original matrix A. We apply some preconditioned techniques for this algorithm. At the end of this paper, some numerical examples have been shown to compare the preconditioned ELMRES with the original version.

Keywords