M-FUNCTIONS AND PARALLEL ASYNCHRONOUS ALGORITHMS

被引：25

作者：

ELBAZ, D

机构：

[1] Cent Natl de la Recherche, Scientifique

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1990年 / 27卷 / 01期

关键词：

D O I：

10.1137/0727008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The solution of nonlinear systems of equations Fx = z via parallel asynchronous algorithms is considered. It is shown that when F is continuous, off-diagonally antitone, and strictly diagonally isotone, then point asynchronous iterations converge monotonically to a solution of the problem from supersolutions and subsolutions. A global convergence result for asynchronous iterations, when F is a continuous, surjective M-function is also presented.

引用

页码：136 / 140

页数：5

共 13 条

[1] ASYNCHRONOUS ITERATIVE METHODS FOR MULTIPROCESSORS [J].