An adaptive version of a fourth-order iterative method for quadratic equations

被引：17

作者：

Amat, S ^{[1
]}

Busquier, S

Gutiérrez, JM

机构：

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

[2] Univ La Rioja, Dept Matemat & Computac, Logrono, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2006年 / 191卷 / 02期

关键词：

nonlinear quadratic equations; fourth order; semilocal convergence; multiresolution; compression;

D O I：

10.1016/j.cam.2005.06.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A fourth-order iterative method for quadratic equations is presented. A semilocal convergence theorem is performed. A multiresolution transform corresponding to interpolatory technique is used for fast application of the method. In designing this algorithm we apply data compression to the linear and the bilinear forms that appear on the method. Finally, some numerical results are studied. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：259 / 268

页数：10

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