On the convergence and applications of Newton-like methods for analytic operators

DOI10.1007/BF02936204zbMath1010.65026MaRDI QIDQ1847586

Ioannis K. Argyros

Publication date: 15 May 2003

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

zbMATH Keywords

convergencenumerical exampleBanach spaceFréchet derivativenonlinear operator equationNewton-like methodsanalytic operatorpredictor-corrector continuation procedures

Mathematics Subject Classification ID

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

Related Items (2)

Inexact-Newton method for solving operator equations in infinite-dimensional spaces ⋮ Semilocal convergence of a sixth order iterative method for quadratic equations

Cites Work

• A new semilocal convergence theorem for Newton's method
• On a theorem of S. Smale about Newton's method for analytic mappings
• On Q-order and R-order of convergence
• Improved error bounds for Newton-like iterations under Chen-Yamamoto conditions
• Local Convergence of Inexact Newton Methods
• A Local Convergence Theory for Combined Inexact-Newton/Finite-Difference Projection Methods
• A Newton-Kantorovich theorem for equations involving \(m\)-Fréchet differentiable operators and applications in radiative transfer
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the convergence and applications of Newton-like methods for analytic operators