On an iterative algorithm of order 1.839... for solving the nonlinear least squares problems

被引：27
|
作者：
Shakhno, SM [1 ]
Gnatyshyn, OP [1 ]
机构：
[1] Ivan Franko Natl Univ Lviv, Dept Appl Math & Comp Sci, UA-79602 Lvov, Ukraine
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 161卷 / 01期
关键词：
nonlinear least squares problem; free-derivative iteration method; order convergence; residual;
D O I：
10.1016/j.amc.2003.12.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper for solving the nonlinear least-squares problem we propose new free-derivative iteration method with the order of convergence 1.839... We have elaborated the scheme of proof, by which from one point of view the theoretical research of one class of difference iterative methods with different orders of convergence have been conducted. By the results of numerical experiment, the new method is compared with the known difference methods and with the classic Gauss-Newton method. (C) 2004 Elsevier Inc. All rights reserved.
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页码：253 / 264
页数：12
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