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GGMRES: A GMRES--type algorithm for solving singular linear equations with index one | ||
| Journal of Mathematical Modeling | ||
| مقاله 7، دوره 5، شماره 1، شهریور 2017، صفحه 1-14 اصل مقاله (285.14 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2017.1954 | ||
| نویسندگان | ||
| Alireza Ataei* 1؛ Faezeh Toutounian2 | ||
| 1Mathematics Department, Faculty of Science, Persian Gulf University, Iran | ||
| 2Department of Applied Mathematics, School of Mathematical Sciences | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| singular linear systems؛ DGMRES method؛ group-inverse solution؛ Drazin-inverse solution؛ Krylov subspace methods | ||
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آمار تعداد مشاهده مقاله: 1,350 تعداد دریافت فایل اصل مقاله: 1,453 |
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