Convergence analysis for single point Newton-type iterative schemes

DOI10.1007/S12190-019-01273-YzbMath1475.65032OpenAlexW2955848303MaRDI QIDQ2053268

Santhosh George, Ioannis K. Argyros

Publication date: 29 November 2021

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-019-01273-y

zbMATH Keywords

Banach spacenon-differentiable termlocal-semi-local convergenceNewton-type iterative scheme

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• On an improved local convergence analysis for the Secant method
• Homocentric convergence ball of the secant method
• A uniparametric family of iterative processes for solving nondifferentiable equations
• Secant-like methods for solving nonlinear integral equations of the Hammerstein type
• Convergence analysis of the secant type methods
• Optimal Order of One-Point and Multipoint Iteration

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