On the convergence of an inexact Newton-type method

DOI10.1016/j.orl.2005.11.001zbMath1112.90097OpenAlexW2008742779MaRDI QIDQ867927

Liqun Qi, Guanglu Zhou

Publication date: 19 February 2007

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.orl.2005.11.001

zbMATH Keywords

local convergenceNewton-type methodmonotone equationserror bound condition

Mathematics Subject Classification ID

Methods of quasi-Newton type (90C53)

Related Items (6)

Truncated regularized Newton method for convex minimizations ⋮ An LP-Newton method: nonsmooth equations, KKT systems, and nonisolated solutions ⋮ Newton-MR: inexact Newton method with minimum residual sub-problem solver ⋮ A regularized Newton method for monotone nonlinear equations and its application ⋮ Some notes on split Newton iterative algorithm ⋮ Convergence of a generalized Newton and an inexact generalized Newton algorithms for solving nonlinear equations with nondifferentiable terms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local behavior of an iterative framework for generalized equations with nonisolated solutions
• Historical developments in convergence analysis for Newton's and Newton-like methods
• The theory of Newton's method
• Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints
• On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption
• Superlinear convergence of a Newton-type algorithm for monotone equations
• Regularized Newton methods for convex minimization problems with singular solutions
• Sub-quadratic convergence of a smoothing Newton algorithm for the \(P_0\)- and monotone LCP
• A nonsmooth version of Newton's method
• The Proximal Point Algorithm with Genuine Superlinear Convergence for the Monotone Complementarity Problem
• Some continuity properties of polyhedral multifunctions
• Convergence Properties of the Inexact Levenberg-Marquardt Method under Local Error Bound Conditions
• A Superlinearly Convergent Algorithm for the Monotone Nonlinear Complementarity Problem Without Uniqueness and Nondegeneracy Conditions

This page was built for publication: On the convergence of an inexact Newton-type method