Secant-like methods for solving nonlinear integral equations of the Hammerstein type

被引：78

作者：

Hernández, MA ^{[1
]}

Rubio, MJ ^{[1
]}

Ezquerro, JA ^{[1
]}

机构：

[1] Univ La Rioja, Dept Math & Computat, Logrono 26004, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2000年 / 115卷 / 1-2期

关键词：

secant method; convergence analysis; recurrence relations; a priori error bounds; integral equations;

D O I：

10.1016/S0377-0427(99)00116-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a one-parametric family of secant-type iterations for solving nonlinear equations in Banach spaces. We establish a semilocal convergence result for these iterations by means of a technique based on a new system of recurrence relations. This result is then applied to obtain existence and uniqueness results for nonlinear integral equations of the Hammerstein type. We also present a numerical example where the solution of a particular Hammerstein integral equation is approximated by different secant-type methods. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：245 / 254

页数：10

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