TY - JOUR ID - 4459 TI - A block preconditioner for the Gl-LSMR algorithm JO - Journal of Mathematical Modeling JA - JMM LA - en SN - 2345-394X AU - Hasanpour, Afsaneh AU - Mojarrab, Maryam AD - Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran Y1 - 2021 PY - 2021 VL - 9 IS - 3 SP - 347 EP - 359 KW - LSMR method KW - Gl-LSMR method KW - preconditioner KW - block partitioned matrices KW - multiple right-hand sides DO - 10.22124/jmm.2020.17687.1525 N2 - 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. UR - https://jmm.guilan.ac.ir/article_4459.html L1 - https://jmm.guilan.ac.ir/article_4459_3e9cac74e5523bd0855201c4b20cd5c4.pdf ER -