FIXED-POINT QUASI-NEWTON METHODS

被引：11

作者：

MARTINEZ, JM

机构：

[1] Univ of Campinas, Campinas

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 05期

关键词：

QUASI-NEWTON METHODS; FIXED POINTS; NONLINEAR SYSTEMS; LEAST-CHANGE SECANT METHODS;

D O I：

10.1137/0729081

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article studies iterative methods defined by x(k+1) = PHI(x(k), E(k)), where X(k) is-an-element-of R(n) and E(k) lie on a space of parameters. Sufficient conditions are established for local convergence and for convergence at an ideal linear or superlinear rate. A theory of least-change secant update methods for this class of processes is developed. Several examples are given showing a wide range of applications of the new theory.

引用

页码：1413 / 1434

页数：22

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