On the radius of convergence of newton's method

DOI10.1080/00207160108805074zbMath0987.65048OpenAlexW2061392429MaRDI QIDQ2752280

Ioannis K. Argyros

Publication date: 16 October 2001

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160108805074

zbMATH Keywords

Newton's methodnumerical examplesBanach spacenonlinear operator equationradius of convergencepredictor-corrector continuation procedures

Mathematics Subject Classification ID

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

Related Items (3)

A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space ⋮ Convergence ball and error analysis of the Ostrowski-Traub method ⋮ Homotopy method for a mean curvature-based denoising model

Cites Work

• Unnamed Item
• A new semilocal convergence theorem for Newton's method
• On the solution of equations with nondifferentiable and Ptak error estimates
• Error for the modified secant method
• A stepsize control for continuation methods and its special application to multiple shooting techniques
• Affine invariant convergence results for Newton's method
• An efficient step size control for continuation methods

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