GGMRES: A GMRES--type algorithm for solving singular linear equations with index one

In this paper, an algorithm based on the Drazin generalized conjugate residual (DGMRES) algorithm is proposed for computing the group-inverse solution of singular linear equations with index one. Numerical experiments show that the resulting group-inverse solution is reasonably accurate and its computation time is significantly less than that of group-inverse solution obtained by the DGMRES algorithm.

Keywords:

singular linear systems , DGMRES method , group-inverse solution , Drazin-inverse solution , Krylov subspace methods

Authors

Alireza Ataei

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

Faezeh Toutounian

Department of Applied Mathematics, School of Mathematical Sciences

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https://civilica.com/doc/1995461

شناسه ملی سند علمی:

JR_JMMO-5-1_001

تاریخ نمایه سازی: 19 خرداد 1403

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Ataei, Alireza and Toutounian, Faezeh,1396,GGMRES: A GMRES--type algorithm for solving singular linear equations with index one,https://civilica.com/doc/1995461

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Paper count: 5,579

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