Improved Convergence And Complexity Analysis Of Newton's Method For Solving Equations

IOANNIS K. ARGYROS

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Improved Convergence And Complexity Analysis Of Newton's Method For Solving Equations

机译：牛顿法求解方程的改进的收敛性和复杂性分析

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摘要

A finer optimal convergence condition for the local convergence of Newton's method is obtained using more precise error estimates. A condition for finer computational complexity is also obtained.

机译：使用更精确的误差估计，可以获得牛顿方法局部收敛的更好的最优收敛条件。还获得了更好的计算复杂度的条件。

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来源
《International journal of computer mathematics》 |2007年第1期|p.67-73|共7页
作者
IOANNIS K. ARGYROS;
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作者单位

Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA;

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原文格式 PDF
正文语种 eng
中图分类运筹学;
关键词
newton's method; banach space; radius of convergence; majorizing sequence; complexity;

机译：牛顿法;香蕉空间;收敛半径;主序列;复杂度;

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3. Local convergence analysis of Newton's method for solving strongly regular generalized equations [J] . O.P. Ferreira, G.N. Silva Journal of Mathematical Analysis and Applications . 2018,第1期

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5. Solving nonlinear differential equations by one-step methods: Global error bounds and complexity analysis. [D] . Huang, Yili. 1993

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6. An Analysis on Local Convergence of Inexact Newton-Gauss Method for Solving Singular Systems of Equations [O] . Fangqin Zhou -1

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7. Local convergence analysis of Newton's method for solving strongly regular generalized equations [O] . Ferreira, O. P., Silva, G. N. 2016

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8. The Complexity of Obtaining Starting Points for Solving Operator Equations by Newton's Method. [R] . kung, h. t. 1975

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Improved Convergence And Complexity Analysis Of Newton's Method For Solving Equations

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