NEW ITERATIVE METHODS BASED ON SPLINE FUNCTIONS FOR SOLVING NONLINEAR EQUATIONS

被引：0

作者：

Taghvafard, Hadi ^{[1
]}

机构：

[1] Shiraz Univ, Dept Math, Shiraz, Iran

来源：

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 3卷 / 04期

关键词：

Newton's method; Halley's method; Iterative method; Spline functions; Order of convergence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two new iterative methods for solving nonlinear equations are presented using a new quadrature rule based on spline functions. Analysis of convergence shows that these methods have third-order convergence. Their practical utility is demonstrated by numerical examples to show that these methods are more efficient than that of Newton's.

引用

页码：31 / 37

页数：7

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