Expanding the Applicability of High-Order Traub-Type Iterative Procedures

被引：0

作者：

Amat, Sergio ^{[1
]}

Argyros, Ioannis K. ^{[2
]}

Busquier, Sonia ^{[1
]}

Hilout, Said ^{[3
]}

机构：

[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Cartagena, Spain

[2] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA

[3] Univ Poitiers, Lab Math & Applicat, F-86962 Futuroscope, France

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2014年 / 161卷 / 03期

关键词：

High-order iterative procedures; Banach space; Semilocal convergence; Convergence domain; Majorizing sequence; CONVERGENCE;

D O I：

10.1007/s10957-013-0440-3

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We propose a collection of hybrid methods combining Newton's method with frozen derivatives and a family of high-order iterative schemes. We present semilocal convergence results for this collection on a Banach space setting. Using a more precise majorizing sequence and under the same or weaker convergence conditions than the ones in earlier studies, we expand the applicability of these iterative procedures.

引用

页码：837 / 852

页数：16

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