IDR(s) for linear equations with multiple right-hand sides

IDR(s) for linear equations with multiple right-hand sides
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DOI:
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发表时间:
2012-06
期刊:
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影响因子:
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通讯作者:
Kuniyoshi Abe;G. Sleijpen
Kuniyoshi Abe;G. Sleijpen
中科院分区:
其他
文献类型:
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作者:
Kuniyoshi Abe;G. Sleijpen

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对于 x,其中 A 是给定的 n × n 矩阵,b 是给定的 n 向量。我们有很多机会求解具有相同系数矩阵和不同右侧(RHS)的线性方程。因此,分块 Krylov 子空间方法,如分块 Bi-CG (Bl-BCG)、分块 Bi-CGSTAB (Bl-BiCGSTAB) [2]、分块 GMRES (Bl-GMRES) 和分块 QMR (Bl-QMR) 方法已被开发用于求解分块线性系统 AX = B (2)
for x, where A is a given n × n matrix, and b a given n-vector. We have many opportunities to solve linear equations with the same coefficient matrix and different right-hand sides (RHSs). Therefore, block Krylov subspace methods such as the block Bi-CG (Bl-BCG), block Bi-CGSTAB (Bl-BiCGSTAB) [2], block GMRES (Bl-GMRES) and block QMR (Bl-QMR) methods have been developed for solving block linear systems AX = B (2)