An efficient interfacing of golden-section and quadratic searches

DOI10.1016/0016-0032(85)90041-9zbMath0595.90074OpenAlexW2090730603MaRDI QIDQ1078081

K. Vit

Publication date: 1985

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(85)90041-9

zbMATH Keywords

least-squares approximationsearchesunivariate optimizationcombination of golden-section and quadratic interpolationcombination of golden-section and quadratic interpolation searches

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37)

Cites Work

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• Effective use of numerical optimization in structural design
• A generalized direct search acceptable-point technique for use with descent-type multivariate algorithms
• Nonoptimal termination properties of quadratic interpolation univariate searches
• Quadratically convergent algorithms and one-dimensional search schemes
• Rational interpolation and extrapolation for SUMT

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