A modified Newton direction for unconstrained optimization

DOI10.1080/02331934.2012.696115zbMath1295.90078OpenAlexW2056742199MaRDI QIDQ5495570

T. N. Grapsa

Publication date: 5 August 2014

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2012.696115

zbMATH Keywords

unconstrained optimizationNewton's methodmultiobjective optimizationquadratic convergencedescent directionpivot pointsinitialization dependenceline search strategies

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Numerical computation of solutions to systems of equations (65H10) Numerical methods based on nonlinear programming (49M37)

Cites Work

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• Improved Newton's method without direct function evaluations
• Gauss-Newton-based BFGS method with filter for unconstrained minimization
• A rapid generalized method of bisection for solving systems of non-linear equations
• A dimension-reducing method for unconstrained optimization
• On Newton-like methods
• Algorithm 666: Chabis: a mathematical software package for locating and evaluating roots of systems of nonlinear equations
• A NONMONOTONE FILTER BARZILAI-BORWEIN METHOD FOR OPTIMIZATION
• A dimension-reducing method for solving systems of nonlinear equations in
• Quasi-Newton Methods, Motivation and Theory
• Numerical Optimization
• A Nonmonotone Line Search Technique for Newton’s Method
• A Filter-Trust-Region Method for Unconstrained Optimization

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