A nonmonotone hybrid method for nonlinear systems∗

DOI10.1080/10556780008805776zbMath0957.65043OpenAlexW1998983110MaRDI QIDQ4503112

Maria Grazia Gasparo

Publication date: 4 September 2000

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556780008805776

zbMATH Keywords

nonlinear systemnumerical examplesNewton-like methodconvergence domainnonmonotone hybrid method

Mathematics Subject Classification ID

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

Related Items (18)

A non-monotone pattern search approach for systems of nonlinear equations ⋮ Inexact Newton methods for model simulation ⋮ A Polak-Ribière-Polyak method for solving large-scale nonlinear systems of equations and its global convergence ⋮ Nonmonotone derivative-free methods for nonlinear equations ⋮ A new black box method for monotone nonlinear equations ⋮ Inexact free derivative quasi-Newton method for large-scale nonlinear system of equations ⋮ Nonmonotone spectral method for large-scale symmetric nonlinear equations ⋮ A derivative-free Liu-Storey method for solving large-scale nonlinear systems of equations ⋮ Global convergence of Schubert's method for solving sparse nonlinear equations ⋮ A nonmonotone Jacobian smoothing inexact Newton method for NCP ⋮ Nonmonotone Spectral Methods for Large-Scale Nonlinear Systems ⋮ A PRP type method for systems of monotone equations ⋮ A derivative-free PRP method for solving large-scale nonlinear systems of equations and its global convergence ⋮ Hybrid Newton-type method for a class of semismooth equations ⋮ A family of derivative-free conjugate gradient methods for large-scale nonlinear systems of equations ⋮ An Infeasible Interior-Point Method with Nonmonotonic Complementarity Gaps ⋮ Spectral residual method without gradient information for solving large-scale nonlinear systems of equations ⋮ A genetic algorithm with a self-reproduction operator to solve systems of nonlinear equations

Uses Software

• TENSOLVE
• DFO
• minpack

Cites Work

• Unnamed Item
• Successive column correction algorithms for solving sparse nonlinear systems of equations
• Computational methods in optimization. A unified approach.
• On the global stabilization of locally convergent algorithms
• Nonmonotone stabilization methods for nonlinear equations
• Inexact trust region method for large sparse systems of nonlinear equations
• A switching-method for nonlinear systems
• A class on nonmonotone stabilization methods in unconstrained optimization
• On the Convergence of Pattern Search Algorithms
• Testing Unconstrained Optimization Software
• Comparing Algorithms for Solving Sparse Nonlinear Systems of Equations
• Numerical Solution of Nonlinear Equations
• Solving nonlinear systems of equations by means of quasi-neston methods with a nonmonotone stratgy^∗
• A New Sparsity Preserving Quasi-Newton Update for Solving Nonlinear Equations
• A Nonmonotone Line Search Technique for Newton’s Method
• An Assessment of Nonmonotone Linesearch Techniques for Unconstrained Optimization
• Partially updated switching-method for systems of nonlinear equations

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