A pointwise quasi-Newton method for unconstrained optimal control problems
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Publication:1105989
DOI10.1007/BF01406512zbMath0649.65039OpenAlexW2091517123MaRDI QIDQ1105989
Carl. T. Kelley, Ekkehard W. Sachs
Publication date: 1989
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133349
Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Optimality conditions for problems involving ordinary differential equations (49K15)
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A sparse nonlinear optimization algorithm, Convergence of algorithms for perturbed optimization problems, Efficient dynamic programming implementations of Newton's method for unconstrained optimal control problems, Approximate quasi-Newton methods, Mesh independence of Newton-like methods for infinite dimensional problems, Numerical methods for nonlinear equations, Pointwise quasi-Newton method for unconstrained optimal control problems. II, Interior point methods for optimal control of discrete time systems
Cites Work
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- A family of variable metric methods in function space, without exact line searches
- Numerical solution of initial-value problems by collocation methods using generalized piecewise functions
- 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
- A Quasi-Newton Method for Elliptic Boundary Value Problems
- Convergence Theorems for Least-Change Secant Update Methods
- Quasi-Newton Methods and Unconstrained Optimal Control Problems
- On the Local and Superlinear Convergence of Quasi-Newton Methods
- A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods
- Davidon’s Method in Hilbert Space
- Davidon’s Method for Minimization Problems in Hilbert Space with an Application to Control Problems
- Quasi-Newton Methods for Discretized Non-linear Boundary Problems