A QMR-Type Algorithm for Drazin-Inverse Solution of Singular Nonsymmetric Linear Systems - Advances in Linear Algebra & Matrix Theory

ALAMT > Vol.6 No.4, December 2016

A QMR-Type Algorithm for Drazin-Inverse Solution of Singular Nonsymmetric Linear Systems ()

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DOI: 10.4236/alamt.2016.64011 1,503 Downloads 2,463 Views Citations

Author(s)

Alireza Ataei^*

Affiliation(s)

Department of Mathematics, Faculty of Science, Persian Gulf University, Bushehr, Iran.

ABSTRACT

In this paper, we propose DQMR algorithm for the Drazin-inverse solution of consistent or inconsistent linear systems of the form Ax=b where

is a singular and in general non-hermitian matrix that has an arbitrary index. DQMR algorithm for singular systems is analogous to QMR algorithm for non-singular systems. We compare this algorithm with DGMRES by numerical experiments.

KEYWORDS

Singular Linear Systems, DGMRES Method, Quasi-Minimal Residual Methods, Drazin-Inverse Solution, Krylov Subspace Methods

Share and Cite:

Ataei, A. (2016) A QMR-Type Algorithm for Drazin-Inverse Solution of Singular Nonsymmetric Linear Systems. Advances in Linear Algebra & Matrix Theory, 6, 104-115. doi: 10.4236/alamt.2016.64011.

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