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Variable metric methods in Hilbert space with applications to control problems (1976)

Turner, P. R. ; Huntley, E.

Springer

Journal of optimization theory and applications 19 (1976), S. 381-400

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ISSN: 1573-2878

Keywords: Variable metric methods ; optimization theorems ; Hilbert spaces ; control theory

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00941483

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