INVERSE-FREE NEWTON'S METHOD

被引：0
|
作者：
Massalski, Marcin [1 ]
Nockowska-Rosiak, Magdalena [1 ]
机构：
[1] Lodz Univ Technol, Inst Math, al Politech 8, PL-93590 Lodz, Poland
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2025年 / 15卷 / 04期
关键词：
Newton's method; at least quadratic convergence; approximate inverse; NONLINEAR EQUATIONS; ITERATIVE METHOD; MATRIX;
D O I：
10.11948/20240428
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a modification of Newton's method for finding a zero of a multivariable function without an inverse of a matrix in a recurrence. The aim of this paper is twofold: demonstrating at least quadratic convergence of a Newton-type method avoiding matrix inversion under standard assumptions, and then comparing modified and classical Newton's methods numerically.
引用
收藏
页码：2238 / 2257
页数：20
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