Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators

被引：0

作者：

Amat, Sergio ^{[1
]}

Busquier, Sonia ^{[1
]}

Bermudez, Concepcion ^{[1
]}

Alberto Magrenan, Angel ^{[2
]}

机构：

[1] Univ Cartagena, Dept Matemat Aplicada & Estadist, Cartagena 21833, Spain

[2] Univ Int La Rioja, Escuela Ingn, C Gran Via 41, Logrono 26005, La Rioja, Spain

来源：

ALGORITHMS | 2015年 / 8卷 / 03期

关键词：

Newton type methods; third order; semilocal convergence; centered hypotheses; divided differences;

D O I：

10.3390/a8030669

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper is devoted to the semilocal convergence, using centered hypotheses, of a third order Newton-type method in a Banach space setting. The method is free of bilinear operators and then interesting for the solution of systems of equations. Without imposing any type of Frechet differentiability on the operator, a variant using divided differences is also analyzed. A variant of the method using only divided differences is also presented.

引用

页码：669 / 679

页数：11

共 35 条

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