A smoothing self-adaptive Levenberg-Marquardt algorithm for solving system of nonlinear inequalities

DOI10.1016/j.amc.2010.04.025zbMath1195.65078OpenAlexW1996216021MaRDI QIDQ984338

Chan He, Chang-Feng Ma

Publication date: 19 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.04.025

zbMATH Keywords

global convergencenumerical resultserror boundlocal quadratic convergencesystem of nonlinear inequalitiessmoothing self-adaptive Levenberg-Marquardt algorithm

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Linear programming (90C05)

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Cites Work

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• A smoothing Newton-type algorithm of stronger convergence for the quadratically constrained convex quadratic programming
• Some research on Levenberg-Marquardt method for the nonlinear equations
• A smoothing trust-region Newton-CG method for minimax problem
• A globally convergent Levenberg-Marquardt method for solving nonlinear complementarity problem
• On the solution of nonlinear inequalities in a finite number of iterations
• Solving nonlinear inequalities in a finite number of iterations
• Newton's method for nonlinear inequalities
• Non-interior continuation methods for solving semidefinite complementarity problems
• On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption
• A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
• A globally convergent Levenberg-Marquardt method for the least \(l_2\)-norm solution of nonlinear inequalities
• The quadratic convergence of a smoothing Levenberg-Marquardt method for nonlinear complementarity problem
• The Global Linear Convergence of a Noninterior Path-Following Algorithm for Linear Complementarity Problems
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• On Homotopy-Smoothing Methods for Box-Constrained Variational Inequalities
• A Global and Local Superlinear Continuation-Smoothing Method forP₀andR₀NCP or Monotone NCP
• A method for the solution of certain non-linear problems in least squares