A non-monotone pattern search approach for systems of nonlinear equations

DOI10.1080/00207160.2017.1413552zbMath1499.90212OpenAlexW2773320802WikidataQ64900159 ScholiaQ64900159MaRDI QIDQ5031793

Morteza Kimiaei, Keyvan Amini, Hassan Khotanlou

Publication date: 16 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://europepmc.org/articles/pmc6235546

zbMATH Keywords

nonlinear equationpattern searchtheoretical convergencenon-monotone techniquecoordinate search

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10)

Uses Software

• minpack

Cites Work

• Unnamed Item
• A modified Hestenes and Stiefel conjugate gradient algorithm for large-scale nonsmooth minimizations and nonlinear equations
• A trust-region method with improved adaptive radius for systems of nonlinear equations
• An efficient nonmonotone trust-region method for unconstrained optimization
• Modified nonmonotone Armijo line search for descent method
• An improved trust region algorithm for nonlinear equations
• A BFGS trust-region method for nonlinear equations
• Convergence rate of the trust region method for nonlinear equations under local error bound condition
• BFGS trust-region method for symmetric nonlinear equations
• A new backtracking inexact BFGS method for symmetric nonlinear equations
• A truncated Newton method with non-monotone line search for unconstrained optimization
• A new trust region method for nonlinear equations
• Direct search methods: Then and now
• Globally convergent variable metric method for convex nonsmooth unconstrained minimization
• A class on nonmonotone stabilization methods in unconstrained optimization
• A three-terms Polak-Ribière-Polyak conjugate gradient algorithm for large-scale nonlinear equations
• An effective trust-region-based approach for symmetric nonlinear systems
• A new trust-region method with line search for solving symmetric nonlinear equations
• On the Convergence of Pattern Search Algorithms
• A Globally Convergent Trust-Region Method for Large-Scale Symmetric Nonlinear Systems
• `` Direct Search Solution of Numerical and Statistical Problems
• Testing Unconstrained Optimization Software
• On the Convergence of the Multidirectional Search Algorithm
• A nonmonotone hybrid method for nonlinear systems^∗
• Pattern Search Methods for Linearly Constrained Minimization
• A Nonmonotone Line Search Technique and Its Application to Unconstrained Optimization
• Pattern Search Algorithms for Bound Constrained Minimization
• A Nonmonotone Line Search Technique for Newton’s Method
• On the Global Convergence of Derivative-Free Methods for Unconstrained Optimization
• An Assessment of Nonmonotone Linesearch Techniques for Unconstrained Optimization
• An efficient adaptive trust-region method for systems of nonlinear equations
• AN IMPROVED ADAPTIVE TRUST-REGION METHOD FOR UNCONSTRAINED OPTIMIZATION
• Benchmarking optimization software with performance profiles.
• Nonmonotone algorithms for pattern search methods
• On the nonmonotone line search

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