A NOTE ON COMPARISON THEOREM OF TWO-STAGE ITERATIVE METHOD FOR HERMITIAN POSITIVE DEFINITE LINEAR SYSTEMS  

作　　者：王川龙 王艳萍 

机构地区：[1]Department of Mathematics,Taiyuan Teacher’s College [2]Department of Economics,Taiyuan Teacher’s College

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》2003年第1期59-65,共7页

基　　金：This work is supported by NSF of Shanxi province,20011041.

摘　　要：We discuss two-stage iterative methods for the solution of linear systemAx = b, and give a new proof of the comparison theorems of two-stage iterative methodfor an Hermitian positive definite matrix. Meanwhile, we put forward two new versionsof well known comparison theorem and apply them to some examples.We discuss two-stage iterative methods for the solution of linear system Ax = b, and give a new proof of the comparison theorems of two-stage iterative method for an Hermitian positive definite matrix. Meanwhile, we put forward two new versions of well known comparison theorem and apply them to some examples.

关 键 词：Hermitian正定线性系统 HERMITIAN矩阵 正定矩阵 二阶迭代法 比较定理 

分 类 号：O241.6[理学—计算数学]