The polyadic structure of factorable function tensors with applications to high-order minimization techniques

DOI10.1007/BF00938603zbMath0583.90080MaRDI QIDQ1069447

Richard H. F. Jackson, Garth P. McCormick

Publication date: 1986

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Halley's methodfactorable functionshigh-order minimization techniquesnth-order derivativestangent hyperbolas

Mathematics Subject Classification ID

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

Related Items

A new framework for the computation of Hessians, On the Halley class of methods for unconstrainedoptimization problems, Second-order sensitivity analysis in factorable programming: Theory and applications, An interior point method for general large-scale quadratic programming problems, Capitalizing on \textit{live} variables: new algorithms for efficient Hessian computation via automatic differentiation, Automatic differentiation of the vector that solves a parametric linear system, Theoretical efficiency of a new inexact method of tangent hyperbolas, Theoretical efficiency of a new inexact method of tangent hyperbolas, Optimizing over three-dimensional subspaces in an interior-point method for linear programming, Optimization with unary functions

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