Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations

Tetsuro Yamamoto; Xiaojun Chen

doi:10.1007/BF03167895

Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations

Tetsuro Yamamoto
, Xiaojun Chen

Research output: Journal article publication › Journal article › Academic research › peer-review

12 Citations (Scopus)

Abstract

This paper provides three ball-convergence theorems as well as error estimates for certain iterative methods for solving nonlinear equations with nondifferentiable operators in Banach spaces. The results generalize and deepen those of Kantorovich [6], Mysovskii [8], Rheinboldt [10], Dennis [3], Yamamoto [12-15] and Zabrejko-Nguen[16].

Original language	English
Pages (from-to)	131-143
Number of pages	13
Journal	Japan Journal of Applied Mathematics
Volume	7
Issue number	1
DOIs	https://doi.org/10.1007/BF03167895
Publication status	Published - 1 Feb 1990
Externally published	Yes

Keywords

ball-convergence theorems
certain iterative methods
error estimates
nonlinear equations with nondifferentiable operators

ASJC Scopus subject areas

General Engineering
Applied Mathematics

More information

10.1007/BF03167895

Cite this

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AB - This paper provides three ball-convergence theorems as well as error estimates for certain iterative methods for solving nonlinear equations with nondifferentiable operators in Banach spaces. The results generalize and deepen those of Kantorovich [6], Mysovskii [8], Rheinboldt [10], Dennis [3], Yamamoto [12-15] and Zabrejko-Nguen[16].

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KW - certain iterative methods

KW - error estimates

KW - nonlinear equations with nondifferentiable operators

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DO - 10.1007/BF03167895

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Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations

Abstract

Keywords

ASJC Scopus subject areas

More information

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