On a convex acceleration of Newton's method

被引：16

作者：

Ezquerro, JA ^{[1
]}

Hernández, MA ^{[1
]}

机构：

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

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1999年 / 100卷 / 02期

关键词：

nonlinear equations; convex acceleration of Newton's method; Newton-Kantorovich assumptions; majorizing sequences;

D O I：

10.1023/A:1021730118905

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：

In this study, we use a convex acceleration of Newton's method (or super-Halley method) to approximate solutions of nonlinear equations. We provide sufficient convergence conditions for this method in three space settings: real line, complex plane, and Banach space. Several applications of our results are also provided.

引用

页码：311 / 326

页数：16

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[2]

[Anonymous], ZB RAD PRIROD MAT M

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[4]

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