ON A SECANT TYPE METHOD FOR NONLINEAR LEAST SQUARES PROBLEMS

被引：0
|
作者：
Shakhno, S. M. [1 ]
Gnatyshyn, O. P. [1 ]
Iakymchuk, R. P. [1 ]
机构：
[1] Ivan Franko Natl Univ Lviv, 1,Univ STR, UA-79000 Lvov, Ukraine
来源：
JOURNAL OF NUMERICAL AND APPLIED MATHEMATICS | 2009年 / 1卷 / 97期
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D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper the new Secant type method for nonlinear least squares problems is presented. We study the convergence of the proposed method under hypothesis that the divided differences of first order satisfy the generalized Lipschitz conditions. We obtain the radius of convergence ball, the uniqueness ball of the solution and rate of convergence of the method. Similar results under the generalized Holder conditions are also presented. The results of numerical experiments, that represent the convergence analysis of Secant type method are given.
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页码：112 / 121
页数：10
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