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

Alireza Ataei · Advances in Linear Algebra &amp Matrix Theory · 2016

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.

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