A family of variable metric methods in function space, without exact line searches

DOI10.1007/BF01262975zbMath0442.49021MaRDI QIDQ1143637

V. H. Quintana, Rene V. Mayorga

Publication date: 1980

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

zbMATH Keywords

convergenceBanach spacesvariable metric methodscontrol theoryquasi-Newton methodsoptimal control problemsexact line searches

Mathematics Subject Classification ID

Nonlinear programming (90C30) Newton-type methods (49M15) Programming in abstract spaces (90C48) Existence theories for problems in abstract spaces (49J27)

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Cites Work

• Variable metric methods in Hilbert space with applications to control problems
• Function-space quasi-Newton algorithms for optimal control problems with bounded controls and singular arcs
• Direct-prediction quasi-Newton methods in Hilbert space with applications to control problems
• Convergence of gradient methods for optimal control problems
• A "rank-one" method for optimal control problems
• A Family of Variable-Metric Methods Derived by Variational Means
• The Convergence of a Class of Double-rank Minimization Algorithms
• A new approach to variable metric algorithms
• Conditioning of Quasi-Newton Methods for Function Minimization
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