TITLE:
A QMR-Type Algorithm for Drazin-Inverse Solution of Singular Nonsymmetric Linear Systems
AUTHORS:
Alireza Ataei
KEYWORDS:
Singular Linear Systems, DGMRES Method, Quasi-Minimal Residual Methods, Drazin-Inverse Solution, Krylov Subspace Methods
JOURNAL NAME:
Advances in Linear Algebra & Matrix Theory,
Vol.6 No.4,
November
29,
2016
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 asingular 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.