A perturbed version of an inexact generalized Newton method for solving nonsmooth equations

DOI10.1007/s11075-012-9613-7zbMath1271.65088OpenAlexW2155611394MaRDI QIDQ1952309

Marek J. Śmietański

Publication date: 30 May 2013

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-012-9613-7

zbMATH Keywords

consistencynonsmooth equationsNewton methodlocal convergencesuperlinear convergence\(B\)-differentialinexact generalized Newton method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (2)

Inexact Newton method with feasible inexact projections for solving constrained smooth and nonsmooth equations ⋮ Hybrid second order method for orthogonal projection onto parametric curve in \(n\)-dimensional Euclidean space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• More test examples for nonlinear programming codes
• Perturbation lemma for the Newton method with application to the SQP Newton method
• Superlinearly convergent approximate Newton methods for LC\(^ 1\) optimization problems
• Globally convergent inexact quasi-Newton methods for solving nonlinear systems
• Algebraic univalence theorems for nonsmooth functions
• A globally convergent Newton method for convex \(SC^ 1\) minimization problems
• Inexact Newton methods for solving nonsmooth equations
• State of the art in global optimization: computational methods and applications. Papers of the conference, Princeton, NJ, USA, April 28--30, 1995
• A nonsmooth version of Newton's method
• Affine scaling inexact generalized Newton algorithm with interior backtracking technique for solving bound-constrained semismooth equations
• Some superlinearly convergent inexact generalized Newton method for solving nonsmooth equations
• Test Problems for Lipschitz Univariate Global Optimization with Multiextremal Constraints
• The Effect of Rounding Errors on Newton-like Methods
• Optimization and nonsmooth analysis
• Inexact Newton Methods
• Semismooth and Semiconvex Functions in Constrained Optimization
• Quasi-inexact-Newton methods with global convergence for solving constrained nonlinear systems
• Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
• A Globally Convergent Successive Approximation Method for Severely Nonsmooth Equations
• Two Methods for Solving Optimization Problems Arising in Electronic Measurements and Electrical Engineering
• The inexact, inexact perturbed, and quasi-Newton methods are equivalent models
• A nonmonotone semismooth inexact Newton method
• A nonmonotone inexact Newton method
• Inexact perturbed Newton methods and applications to a class of Krylov solvers
• Globally convergent inexact generalized Newton's methods for nonsmooth equations

This page was built for publication: A perturbed version of an inexact generalized Newton method for solving nonsmooth equations