A multi-step class of iterative methods for nonlinear systems

被引：65

作者：

Soleymani, Fazlollah ^{[1
]}

Lotfi, Taher ^{[2
]}

Bakhtiari, Parisa ^{[2
]}

机构：

[1] Islamic Azad Univ, Zahedan Branch, Dept Math, Zahedan, Iran

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

来源：

OPTIMIZATION LETTERS | 2014年 / 8卷 / 03期

关键词：

Nonlinear systems; Matrix; LU factorization; Computational complexity; Nonlinear differential equations; EQUATIONS;

D O I：

10.1007/s11590-013-0617-6

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 article, the numerical solution of nonlinear systems using iterative methods are dealt with. Toward this goal, a general class of multi-point iteration methods with various orders is constructed. The error analysis is presented to prove the convergence order. Also, a thorough discussion on the computational complexity of the new iterative methods will be given. The analytical discussion of the paper will finally be upheld through solving some application-oriented problems.

引用

页码：1001 / 1015

页数：15

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