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Research Article Open access CC BY 4.0

An Improved DGMRES Algorithm for Computing the Drazin-inverse Solution of Singular Linear Systems

Alireza Ataei

Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 8 Sep 2015

10.9734/BJMCS/2015/19959

Abstract

Krylov subspace methods have been considered to solve singular linear systems Ax = b. One of these methods is the DGMRES method. DGMRES is an algorithm to solve the Drazin{ inverse solution of the large scale and sparse consistent or inconsistent singular linear systems with with arbitrary index. In this paper, we present an improved version of this algorithm. Numerical experiments show that computation time is signi cantly less than that of computation time obtained by the DGMRES algorithm.

Singular linear systems DGMRES method drazin-inverse solution index krylov subspace methods.

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