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Self-scaling variable metric methods in hilbert space with applications to control problems

✍ Scribed by P. R. Turner; E. Huntley

Publisher: John Wiley and Sons
Year: 1980
Tongue: English
Weight: 628 KB
Volume: 1
Category: Article
ISSN: 0143-2087
DOI: 10.1002/oca.4660010206

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✦ Synopsis

Abstract

In this paper the application of the self‐scaling variable metric methods to optimal control problems is considered. The convergence of such methods in Hilbert space, both with and without line searches, is established for a wide class of convex functionals. The methods are then tested numerically on control problems, and the results are compared with earlier results for other variable metric algorithms.

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