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

作　　者：Bo Wu Xingbao Gao 

机构地区：[1]School of Mathematics and Statistics,Ningxia University,Yinchuan,750021,Ningxia,China [2]School of Mathematics and Statistics,Shaanxi Normal University,Xi’an,710062,Shaanxi,China

出　　处：《Communications on Applied Mathematics and Computation》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.

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.

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—数学]