Rational approximations for ill-conditioned equation systems

被引：8

作者：

Kirsche, A ^{[1
]}

Böckmann, C ^{[1
]}

机构：

[1] Univ Potsdam, Inst Math, D-14469 Potsdam, Germany

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 171卷 / 01期

关键词：

iterative methods; fixpoint iteration; rational approximations; Pade approximants; ill-conditioned systems;

D O I：

10.1016/j.amc.2005.01.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study we present iterative methods using rational approximations, e.g... Pade approximants, which work very well for strongly ill-conditioned systems. In principle all methods of the family are convergent. One type of those methods has the advantage that their convergence behavior is very fast without additional a-priori information on the optimal relaxation parameter. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：385 / 397

页数：13

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