Variable metric methods in Hilbert space with applications to control problems |
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Authors: | P. R. Turner E. Huntley |
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Affiliation: | (1) Department of Applied Mathematics and Computer Science, The University of Sheffield, Sheffield, England;(2) Present address: University of Lancaster, Bailigg, Lancaster, England |
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Abstract: | This paper is concerned with some of the most powerful methods of minimizing functionals on Hilbert space. It is established that certain classes of these methods are equivalent and their convergence is proved for certain nonquadratic functionals on a Hilbert space. A computational study of these methods applied to a control problem is also included with particular reference to the equivalence of methods mentioned above. |
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Keywords: | Variable metric methods optimization theorems Hilbert spaces control theory |
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