A new smoothing Newton method for solving constrained nonlinear equations

DOI10.1016/j.amc.2011.04.045zbMath1261.65051OpenAlexW2057992104MaRDI QIDQ555395

Xiaojiao Tong, Chunlin Deng, Liu Yang, Yanping Chen

Publication date: 22 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.045

zbMATH Keywords

global convergencenumerical resultslocal quadratic convergencesmoothing Newton methodsemismooth functionconstrained nonlinear equationssystem of semismooth equations

Mathematics Subject Classification ID

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

Related Items (6)

Topographical global initialization for finding all solutions of nonlinear systems with constraints ⋮ A projection-based hybrid PRP-DY type conjugate gradient algorithm for constrained nonlinear equations with applications ⋮ A convergence analysis of hybrid gradient projection algorithm for constrained nonlinear equations with applications in compressed sensing ⋮ A hybrid method for solving systems of nonsmooth equations with box constraints ⋮ A new Levenberg-Marquardt type algorithm for solving nonsmooth constrained equations ⋮ A Smoothing Projected Levenberg-Marquardt Type Algorithm for Solving Constrained Equations

Uses Software

• STRSCNE

Cites Work

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• Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities
• Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
• Convergence Properties of the Inexact Levenberg-Marquardt Method under Local Error Bound Conditions
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Strictly feasible equation-based methods for mixed complementarity problems

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