Inexact Newton method with feasible inexact projections for solving constrained smooth and nonsmooth equations

DOI10.1016/j.apnum.2020.04.012zbMath1435.65094arXiv1810.11640OpenAlexW3020238404MaRDI QIDQ2189678

Fabiana R. de Oliveira, Orizon P. Ferreira

Publication date: 16 June 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.11640

zbMATH Keywords

regularitysmoothnessinexact Newton methodsemi-smoothnessconstrained equationfeasible inexact projection

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (2)

A framework for convex-constrained monotone nonlinear equations and its special cases ⋮ A locally convergent inexact projected Levenberg-Marquardt-type algorithm for large-scale constrained nonsmooth equations

Uses Software

• LSQR
• STRSCNE
• CoDoSol
• CRAIG

Cites Work

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• On the global convergence of the inexact semi-smooth Newton method for absolute value equation
• A Newton conditional gradient method for constrained nonlinear systems
• A Levenberg-Marquardt method with approximate projections
• A generalized Newton method for absolute value equations
• An inexact NE/SQP method for solving the nonlinear complementarity problem
• Handbook of test problems in local and global optimization
• Linear programming: foundations and extensions
• Globally convergent inexact quasi-Newton methods for solving nonlinear systems
• An inexact Newton-like conditional gradient method for constrained nonlinear systems
• A conditional gradient method with linear rate of convergence for solving convex linear systems
• Quasi-Newton methods for constrained nonlinear systems: complexity analysis and applications
• STRSCNE: a scaled trust-region solver for constrained nonlinear equations
• Inexact Newton methods for solving nonsmooth equations
• Constrained dogleg methods for nonlinear systems with simple bounds
• A perturbed version of an inexact generalized Newton method for solving nonsmooth equations
• A nonsmooth version of Newton's method
• Smoothing Functions for Second-Order-Cone Complementarity Problems
• Conditional Gradient Sliding for Convex Optimization
• Some superlinearly convergent inexact generalized Newton method for solving nonsmooth equations
• Truncated-Newton algorithms for large-scale unconstrained optimization
• Nonsmooth Equations: Motivation and Algorithms
• LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
• A New Projection Method for Variational Inequality Problems
• Approximate norm descent methods for constrained nonlinear systems
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• On the constrained error bound condition and the projected Levenberg–Marquardt method
• Implicit Functions and Solution Mappings
• Inexact quasi-Newton global convergent method for solving constrained nonsmooth equations
• A nonmonotone semismooth inexact Newton method
• Benchmarking optimization software with performance profiles.
• Globally convergent inexact generalized Newton's methods for nonsmooth equations

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