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Two-Parameter Block Triangular Splitting Preconditioner for Block Two-by-Two Linear Systems

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摘要 This paper proposes a two-parameter block triangular splitting(TPTS)preconditioner for the general block two-by-two linear systems.The eigenvalues of the corresponding preconditioned matrix are proved to cluster around 0 or 1 under mild conditions.The limited numerical results show that the TPTS preconditioner is more efficient than the classic block-diagonal and block-triangular preconditioners when applied to the flexible generalized minimal residual(FGMRES)method.
作者 Bo Wu Xingbao Gao
机构地区 School of Mathematics and Statistics School of Mathematics and Statistics
出处 《Communications on Applied Mathematics and Computation》 EI 2023年第4期1601-1615,共15页 应用数学与计算数学学报（英文）
基金 the National Natural Science Foundation of China under Grant Nos.61273311 and 61803247.
关键词 Block triangular splitting Block two-by-two linear systems Eigenvalues PRECONDITIONER flexible generalized minimal residual(FGMRES)
分类号 O17 [理学—基础数学]
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Communications on Applied Mathematics and Computation
2023年 第4期

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