On Minimization of Upper Bound for the Convergence Rate of the QHSS Iteration Method  

作　　者：Wen-Ting Wu 

机构地区：[1]State Key Laboratory of Scientific/Engineering Computing,Institute of Computational Mathematics and Scientific/Engineering Computing,Academy of Mathematics and Systems Science,Chinese Academy of Sciences. P.O. Box 2719. Beijing 100190,China [2]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Communications on Applied Mathematics and Computation》2019年第2期263-282,共20页应用数学与计算数学学报（英文）

基　　金：the National Natural Science Foundation (No.11671393),China.

摘　　要：For an upper bound of the spectral radius of the QHSS (quasi Hermitian and skew-Hermitian splitting) iteration matrix which can also bound the contraction factor of the QHSS iteration method,we give its minimum point under the conditions which guarantee that the upper bound is strictly less than one. This provides a good choice of the involved iteration parameters,so that the convergence rate of the QHSS iteration method can be significantly improved.

关 键 词：System of linear equations NON-HERMITIAN matrix QHSS ITERATION method Convergence rate 

分 类 号：O1[理学—数学]