On some families of multi-point iterative methods for solving nonlinear equations

被引：16
|
作者：
Nedzhibov, Gyurhan H. [1 ]
Hasanov, Vejdi I. [1 ]
Petkov, Milko G. [1 ]
机构：
[1] Univ Shumen, Fac Math & Informat, Shumen 9712, Bulgaria
来源：
NUMERICAL ALGORITHMS | 2006年 / 42卷 / 02期
关键词：
iterative function; order of convergence; one-point iterative process; multi-point iterative process;
D O I：
10.1007/s11075-006-9027-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some semi-discrete analogous of well known one-point family of iterative methods for solving nonlinear scalar equations dependent on an arbitrary constant are proposed. The new families give multi-point iterative processes with the same or higher order of convergence. The convergence analysis and numerical examples are presented.
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页码：127 / 136
页数：10
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