CONVERGENCE OF SEQUENTIAL AND ASYNCHRONOUS NONLINEAR PARACONTRACTIONS

被引：68

作者：

ELSNER, L ^{[1
]}

KOLTRACHT, I ^{[1
]}

NEUMANN, M ^{[1
]}

机构：

[1] UNIV CONNECTICUT,DEPT MATH,STORRS,CT 06269

来源：

NUMERISCHE MATHEMATIK | 1992年 / 62卷 / 03期

关键词：

Mathematics Subject Classifications (1991): MSC 1991; 65F10;

D O I：

10.1007/BF01396232

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the convergence of sequential and asynchronous iteration schemes for nonlinear paracontracting operators acting in finite dimensional spaces. Applications to the solution of linear systems of equations with convex constraints are outlined. A first generalization of one of our convergence results to an infinite pool of asymptotically paracontracting operators is also presented.

引用

页码：305 / 319

页数：15

共 8 条

[1] MODELS OF PARALLEL CHAOTIC ITERATION METHODS [J].