A new type of recurrence relations for the Secant method

被引：8

作者：

Hernández, MA ^{[1
]}

Rubio, MJ ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1999年 / 72卷 / 04期

关键词：

the Secant method; recurrence relations; a priori error bounds;

D O I：

10.1080/00207169908804870

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We apply the Secant method to solve nonlinear operator equations in Banach spaces. We establish a Newton-Kantorovich convergence theorem using a new system of recurrence relations and give an explicit expression for the a priori error bounds. Moreover, we apply our results to the numerical resolution of a nonlinear boundary value problem of second order and improve the error bounds obtained by other authors.

引用

页码：477 / 490

页数：14

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