On the monotone convergence of general Newton-like methods

DOI10.1017/S0004972700030392zbMath0743.65053MaRDI QIDQ3987909

Ferenc Szidarovszky, Ioannis K. Argyros

Publication date: 28 June 1992

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

monotone convergenceKantorovich lemmapartially ordered linear topological spacesgeneral Newton-like methods

Mathematics Subject Classification ID

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

Related Items (5)

A unified approach for constructing fast two-step Newton-like methods ⋮ On the convergence of two-step methods generated by point-to-point operators ⋮ Results on Newton methods. I: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications ⋮ On the convergence of two-step methods generated by point-to-point operators ⋮ Results on Newton methods. I: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications

Cites Work

• Global asymptotic stability of non-linear difference equations
• The secant method and fixed points of nonlinear operators
• The theory of oligopoly with multi-product firms
• A lattice-theoretical fixpoint theorem and its applications
• A comparative study of several general convergence conditions for algorithms modeled by point-to-set maps
• Monotone iterative methods for nonlinear operator equations^∗)

This page was built for publication: On the monotone convergence of general Newton-like methods