Recurrence relations for rational cubic methods II. The Chebyshev method

被引：1
|
作者：
Candela, V. [1 ]
Marquina, A. [1 ]
机构：
[1] Dep de Analisis Matematico, Valencia, Spain
来源：
Computing (Vienna/New York) | 1990年 / 45卷 / 04期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
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页码：355 / 367
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