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Optimization and Operations Research: Proceedings of a Conference held at Oberwolfach, July 27 - August 2, 1975 (Lecture Notes in Economics and Mathematical Systems) (English and German Edition) - Couverture souple
Synopsis
The variable metric algorithm is widely recognised as one of the most efficient ways of solving the following problem: - Locate x* a local minimum point n ( 1) of f(x) x E R Considerable attention has been given to the study of the convergence prop- ties of this algorithm especially for the case where analytic expressions are avai- ble for the derivatives g. = af/ax. i 1 --- n - (2) In particular we shall mention the results of Wolfe (1969) and Powell (1972), (1975). Wolfe established general conditions under which a descent algorithm will converge to a stationary point and Powell showed that two particular very efficient algorithms that cannot be shown to satisfy \, olfe's conditions do in fact converge to the minimum of convex functions under certain conditions. These results will be st- ed more completely in Section 2. In most practical problems analytic expressions for the gradient vector g (Equ. 2) are not available and numerical derivatives are subject to truncation error. In Section 3 we shall consider the effects of these errors on Wolfe's convergent prop- ties and will discuss possible modifications of the algorithms to make them reliable in these circumstances. The effects of rounding error are considered in Section 4, whilst in Section 5 these thoughts are extended to include the case of on-line fu- tion minimisation where each function evaluation is subject to random noise.
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Optimization and Operations Research: Proceedings of a Conference held at Oberwolfach, July 27 - August 2, 1975 (Lecture Notes in Economics and Mathematical Systems)
Edité par
Springer 01.02.1976., 1976
ISBN 10 : 3540076166
ISBN 13 : 9783540076162
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Taschenbuch
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Taschenbuch. Etat : Gut. nice book ex Library Sprache: Englisch Gewicht in Gramm: 550 Auflage: Softcover reprint of the original 1st ed. 1976. N° de réf. du vendeur 338640
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Optimization and Operations Research
Edité par
Springer Berlin Heidelberg, 1976
ISBN 10 : 3540076166
ISBN 13 : 9783540076162
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The variable metric algorithm is widely recognised as one of the most efficient ways of solving the following problem:- Locate x* a local minimum point n ( 1) of f(x) x E R Considerable attention has been given to the study of the convergence prop- ties of . N° de réf. du vendeur 4879676
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Optimization and Operations Research : Proceedings of a Conference Held at Oberwolfach, July 27¿August 2, 1975
Edité par
Springer Berlin Heidelberg, 1976
ISBN 10 : 3540076166
ISBN 13 : 9783540076162
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The variable metric algorithm is widely recognised as one of the most efficient ways of solving the following problem:- Locate x\* a local minimum point n ( 1) of f(x) x E R Considerable attention has been given to the study of the convergence prop- ties of this algorithm especially for the case where analytic expressions are avai- ble for the derivatives g. = af/ax. i 1 --- n - (2) ~ ~ In particular we shall mention the results of Wolfe (1969) and Powell (1972), (1975). Wolfe established general conditions under which a descent algorithm will converge to a stationary point and Powell showed that two particular very efficient algorithms that cannot be shown to satisfy ,olfe's conditions do in fact converge to the minimum of convex functions under certain conditions. These results will be st- ed more completely in Section 2. In most practical problems analytic expressions for the gradient vector g (Equ. 2) are not available and numerical derivatives are subject to truncation error. In Section 3 we shall consider the effects of these errors on Wolfe's convergent prop- ties and will discuss possible modifications of the algorithms to make them reliable in these circumstances. The effects of rounding error are considered in Section 4, whilst in Section 5 these thoughts are extended to include the case of on-line fu- tion minimisation where each function evaluation is subject to random noise. N° de réf. du vendeur 9783540076162
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Optimization and Operations Research
Edité par
Springer Berlin Heidelberg, Springer Berlin Heidelberg Feb 1976, 1976
ISBN 10 : 3540076166
ISBN 13 : 9783540076162
Neuf
Taschenbuch
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -The variable metric algorithm is widely recognised as one of the most efficient ways of solving the following problem:- Locate x\* a local minimum point n ( 1) of f(x) x E R Considerable attention has been given to the study of the convergence prop- ties of this algorithm especially for the case where analytic expressions are avai- ble for the derivatives g. = af/ax. i 1 ¿¿¿ n ¿ (2) ~ ~ In particular we shall mention the results of Wolfe (1969) and Powell (1972), (1975). Wolfe established general conditions under which a descent algorithm will converge to a stationary point and Powell showed that two particular very efficient algorithms that cannot be shown to satisfy ,olfe's conditions do in fact converge to the minimum of convex functions under certain conditions. These results will be st- ed more completely in Section 2. In most practical problems analytic expressions for the gradient vector g (Equ. 2) are not available and numerical derivatives are subject to truncation error. In Section 3 we shall consider the effects of these errors on Wolfe's convergent prop- ties and will discuss possible modifications of the algorithms to make them reliable in these circumstances. The effects of rounding error are considered in Section 4, whilst in Section 5 these thoughts are extended to include the case of on-line fu- tion minimisation where each function evaluation is subject to random noise.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 328 pp. Englisch. N° de réf. du vendeur 9783540076162
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Optimization and Operations Research: Proceedings of a Conference Held at Oberwolfach, July 27-August 2, 1975 (Lecture Notes in Economics and Mathematical Systems, 117)
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Optimization and Operations Research
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Optimization and Operations Research
impression à la demandeVendeur : Majestic Books, Hounslow, Royaume-Uni
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Etat : New. Print on Demand pp. 328 67:B&W 6.69 x 9.61 in or 244 x 170 mm (Pinched Crown) Perfect Bound on White w/Gloss Lam. N° de réf. du vendeur 353650750
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Optimization and Operations Research
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Etat : New. PRINT ON DEMAND pp. 328. N° de réf. du vendeur 18358873067
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Optimization and Operations Research: Proceedings of a Conference held at Oberwolfach, July 27 - August 2, 1975 (Lecture Notes in Economics and Mathematical Systems) (English and German Edition)
Vendeur : Revaluation Books, Exeter, Royaume-Uni
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Paperback. Etat : Brand New. rep blg edition. 328 pages. German language. 9.60x6.69x0.74 inches. In Stock. N° de réf. du vendeur x-3540076166
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Optimization and Operations Research
Edité par
Springer Berlin Heidelberg Feb 1976, 1976
ISBN 10 : 3540076166
ISBN 13 : 9783540076162
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The variable metric algorithm is widely recognised as one of the most efficient ways of solving the following problem:- Locate x\* a local minimum point n ( 1) of f(x) x E R Considerable attention has been given to the study of the convergence prop- ties of this algorithm especially for the case where analytic expressions are avai- ble for the derivatives g. = af/ax. i 1 --- n - (2) ~ ~ In particular we shall mention the results of Wolfe (1969) and Powell (1972), (1975). Wolfe established general conditions under which a descent algorithm will converge to a stationary point and Powell showed that two particular very efficient algorithms that cannot be shown to satisfy ,olfe's conditions do in fact converge to the minimum of convex functions under certain conditions. These results will be st- ed more completely in Section 2. In most practical problems analytic expressions for the gradient vector g (Equ. 2) are not available and numerical derivatives are subject to truncation error. In Section 3 we shall consider the effects of these errors on Wolfe's convergent prop- ties and will discuss possible modifications of the algorithms to make them reliable in these circumstances. The effects of rounding error are considered in Section 4, whilst in Section 5 these thoughts are extended to include the case of on-line fu- tion minimisation where each function evaluation is subject to random noise. 328 pp. Englisch, Deutsch. N° de réf. du vendeur 9783540076162
Quantité disponible : 2 disponible(s)