Comparison theorems for splittings of matrices

被引：26
|
作者：
Song, YZ [1 ]
机构：
[1] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China
来源：
NUMERISCHE MATHEMATIK | 2002年 / 92卷 / 03期
关键词：
D O I：
10.1007/s002110100333
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the comparisons of asymptotic rates of convergence of two iteration matrices. On the basis of nonnegative matrix theory, comparisons between two nonnegative splittings and between two parallel multisplitting methods are derived. When the coefficient matrix A is Hermitian positive (semi)definite, comparison theorems about two P-regular splittings and two parallel multisplitting methods are proved.
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页码：563 / 591
页数：29
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