RECURRENCE RELATIONS FOR RATIONAL CUBIC METHODS .2. THE CHEBYSHEV METHOD

被引：149

作者：

CANDELA, V

MARQUINA, A

机构：

[1] Departamento de Análisis Matemático, Burjassot, Valencia, 46100, C/Dr. Moliner

来源：

COMPUTING | 1990年 / 45卷 / 04期

关键词：

3RD ORDER ITERATIVE METHODS; A PRIORI ERROR BOUNDS; NONLINEAR EQUATIONS;

D O I：

10.1007/BF02238803

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We continue the analysis of rational cubic methods, initiated in [7]. In this paper, we obtain a system of a priori error bounds for the Chebyshev method in Banach spaces through a local convergence theorem that provides sufficient conditions on the initial point in order to ensure the convergence of Chebyshev iterates. The error estimates are exact for second degree polynomials. We also discuss some applications.

引用

页码：355 / 367

页数：13

共 23 条

[1] ON THE CONVERGENCE OF HALLEYS METHOD [J].