Some quadrature-based versions of the generalized Newton method for solving nonsmooth equations

被引：3

作者：

Smietanski, Marek J. ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 17期

关键词：

Nonsmooth equations; Generalized Newton method; B-differential; Super linear convergence; Parameterization; CONVERGENCE; VARIABLES; VARIANTS;

D O I：

10.1016/j.cam.2011.04.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, modifications of a generalized Newton method based on some rules of quadrature are studied. The methods considered are Newton-like iterative schemes for numerical solving systems of nonsmooth equations. Some mild conditions are given that ensure superlinear convergence to a solution. Moreover, a parameterized version of the midpoint version is presented. Finally, results of numerical tests are established. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：5131 / 5139

页数：9

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