Some new efficient multipoint iterative methods for solving nonlinear systems of equations

被引：44

作者：

Lotfi, Taher ^{[1
]}

Bakhtiari, Parisa ^{[2
]}

Cordero, Alicia ^{[3
]}

Mahdiani, Katayoun ^{[1
]}

Torregrosa, Juan R. ^{[3
]}

机构：

[1] Islamic Azad Univ, Hamedan Branch, Dept Appl Math, Hamadan, Iran

[2] Imam Khomeini Int Univ, Dept Math, Ghazvin 3414916818, Iran

[3] Univ Politecn Valencia, Inst Matemat Multidisciplinar, E-46022 Valencia, Spain

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2015年 / 92卷 / 09期

关键词：

65H10; 65D30; computational complexity; matrix; LU factorization; nonlinear systems; multipoint iteration; NEWTONS METHOD; VARIANTS; CONVERGENCE;

D O I：

10.1080/00207160.2014.946412

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is attempted to put forward a new multipoint iterative method of sixth-order convergence for approximating solutions of nonlinear systems of equations. It requires the evaluation of two vector-function and two Jacobian matrices per iteration. Furthermore, we use it as a predictor to derive a general multipoint method. Convergence error analysis, estimating computational complexity, numerical implementation and comparisons are given to verify applicability and validity for the proposed methods.

引用

页码：1921 / 1934

页数：14

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