An interior global method for nonlinear systems with simple bounds

DOI10.1080/10556780500140516zbMath1134.90050OpenAlexW2058626489MaRDI QIDQ5717534

Benedetta Morini, Stefania Bellavia

Publication date: 10 January 2006

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

Full work available at URL: https://doi.org/10.1080/10556780500140516

zbMATH Keywords

global convergencequadratic convergencetrust-region methodsaffine scalingbound-constrained nonlinear equations

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Interior-point methods (90C51)

Related Items (8)

Multivariate Encryption Schemes Based on Polynomial Equations over Real Numbers ⋮ An interior-point affine-scaling trust-region method for semismooth equations with box constraints ⋮ On affine-scaling interior-point Newton methods for nonlinear minimization with bound constraints ⋮ A new class of nonmonotone adaptive trust-region methods for nonlinear equations with box constraints ⋮ On affine-scaling inexact dogleg methods for bound-constrained nonlinear systems ⋮ A projection method for convex constrained monotone nonlinear equations with applications ⋮ A projected derivative-free algorithm for nonlinear equations with convex constraints ⋮ Numerical solution of KKT systems in PDE-constrained optimization problems via the affine scaling trust-region approach†

Uses Software

• STRSCNE
• levmar
• KELLEY
• MCPLIB

Cites Work

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• Active-set projected trust-region algorithm for box-constrained nonsmooth equations
• Test examples for nonlinear programming codes
• On the convergence of a trust-region method for solving constrained nonlinear equations with degenerate solutions
• An interior point potential reduction method for constrained equations
• An affine scaling trust-region approach to bound-constrained nonlinear systems
• STRSCNE: a scaled trust-region solver for constrained nonlinear equations
• Superlinear and quadratic convergence of affine-scaling interior-point Newton methods for problems with simple bounds without strict complementarity assumption
• Nonmonotone Trust-Region Methods for Bound-Constrained Semismooth Equations with Applications to Nonlinear Mixed Complementarity Problems
• Solving the Nonlinear Complementarity Problem by a Homotopy Method
• Numerical Optimization
• Engineering and Economic Applications of Complementarity Problems
• A Trust-Region Approach to Nonlinear Systems of Equalities and Inequalities
• An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
• Strictly feasible equation-based methods for mixed complementarity problems

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