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

A QMR-Type Algorithm for Drazin-Inverse Solution of Singular Nonsymmetric Linear Systems
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摘要 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. 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.
作者 Alireza Ataei Alireza Ataei(Department of Mathematics, Faculty of Science, Persian Gulf University, Bushehr, Iran)
出处 《Advances in Linear Algebra & Matrix Theory》 2016年第4期104-115,共13页 线性代数与矩阵理论研究进展(英文)
关键词 Singular Linear Systems DGMRES Method Quasi-Minimal Residual Methods Drazin-Inverse Solution Krylov Subspace Methods Singular Linear Systems DGMRES Method Quasi-Minimal Residual Methods Drazin-Inverse Solution Krylov Subspace Methods
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