A nonquadratic one dimensional interpolation method for optimization

DOI10.1080/00207169208804142zbMath0812.65045OpenAlexW2130148224WikidataQ126246060 ScholiaQ126246060MaRDI QIDQ4323407

Anastassios Tassopoulos

Publication date: 14 May 1995

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

Full work available at URL: https://doi.org/10.1080/00207169208804142

zbMATH Keywords

numerical testssuperlinear convergencenonquadratic one dimensional interpolation method

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30)

Cites Work

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• Recurrence relations for rational cubic methods. II: The Chebyshev method
• An iterative method for algebraic equation by Padé approximation
• Recurrence relations for rational cubic methods. I: The Halley method
• A conjugate-direction method based on a nonquadratic model
• Use of a nonquadratic model in a conjugate-gradient method of optimization with inexact line searches, unconstrained minimization
• Interpolation methods in one dimensional optimization
• Rates of convergence of a one-dimensional search based on interpolating polynomials
• Analysis of a new algorithm for one-dimensional minimization
• Conic Approximations and Collinear Scalings for Optimizers

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