On the final steps of Newton and higher order methods

DOI10.1007/s11590-015-0899-yzbMath1343.90091OpenAlexW273641535MaRDI QIDQ5963239

Sara Suleiman, Trond Steihaug

Publication date: 4 March 2016

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-015-0899-y

zbMATH Keywords

unconstrained optimizationasymptotic error constantcurvilinear searchhigher-order methodsregion of convergence

Mathematics Subject Classification ID

Nonlinear programming (90C30) Methods of quasi-Newton type (90C53)

Related Items (1)

Preface to the special issue ``Recent developments in non-linear and global optimization

Uses Software

• minpack
• Algorithm 917

Cites Work

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• A curvilinear method based on minimal-memory BFGS updates
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• Sparsity in higher order methods for unconstrained optimization
• Algorithm 917
• On large-scale unconstrained optimization problems and higher order methods
• Some variants of the Chebyshev–Halley family of methods with fifth order of convergence
• Curvilinear path steplength algorithms for minimization which use directions of negative curvature
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• A modification of Armijo's step-size rule for negative curvature
• On the use of directions of negative curvature in a modified newton method
• A Modified Cholesky Algorithm Based on a Symmetric Indefinite Factorization
• Curvilinear Stabilization Techniques for Truncated Newton Methods in Large Scale Unconstrained Optimization
• Algorithm 734: A Fortran 90 code for unconstrained nonlinear minimization
• Fractal Basins of Attraction Associated with a Damped Newton's Method
• Curvilinear Linesearch for Tensor Methods
• An acceleration of Newton's method: Super-Halley method

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