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A block preconditioner for the Gl-LSMR algorithm | ||
| Journal of Mathematical Modeling | ||
| مقاله 2، دوره 9، شماره 3، آذر 2021، صفحه 347-359 اصل مقاله (526.03 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2020.17687.1525 | ||
| نویسندگان | ||
| Afsaneh Hasanpour؛ Maryam Mojarrab* | ||
| Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran | ||
| چکیده | ||
| The global least squares minimal residual (Gl-LSMR) method is an efficient solver for linear systems with multiple right-hand sides. To accelerate the convergence of the Gl-LSMR method, we propose a block preconditioner for the global LSMR method which can be used for solving linear systems with a block partitioned coefficient matrix and multiple right-hand sides. Numerical examples and comparing the preconditioned Gl-LSMR method with the Gl-LSMR method validate the effectiveness of the preconditioner. Numerical results confirm that the Block Preconditioned Gl-LSMR (BPGLSMR) method has a better performance in reducing the number of iterations and CPU time. | ||
| کلیدواژه‌ها | ||
| LSMR method؛ Gl-LSMR method؛ preconditioner؛ block partitioned matrices؛ multiple right-hand sides | ||
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