A nonmonotone filter trust region method for the system of nonlinear equations

DOI10.1016/j.apm.2012.03.005zbMath1349.90843OpenAlexW2079688967MaRDI QIDQ345830

Hua Wang, Pu, Dingguo

Publication date: 2 December 2016

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2012.03.005

zbMATH Keywords

global convergenceequality constraintsfiltertrust regionthe system of nonlinear equations

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Methods of quasi-Newton type (90C53)

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Cites Work

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• On a one-dimensional optimization problem derived from the efficiency analysis of Newton-PCG-like algorithms
• A nonmonotone filter trust region method for nonlinear constrained optimization
• Non-monotone trust region methods for nonlinear equality constrained optimization without a penalty function
• A new trust region method for nonlinear equations
• A null space method for solving system of equations.
• Nonmonotone backtracking inexact quasi-Newton algorithms for solving smooth nonlinear equations
• A line search filter approach for the system of nonlinear equations
• Convergence analysis of nonsmooth equations for the general nonlinear complementarity problem
• Affine scaling inexact generalized Newton algorithm with interior backtracking technique for solving bound-constrained semismooth equations
• A Global Convergence Theory for General Trust-Region-Based Algorithms for Equality Constrained Optimization
• The “global” convergence of Broyden-like methods with suitable line search
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Numerical Optimization
• A method for the solution of certain non-linear problems in least squares
• Nonlinear programming without a penalty function.