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AN EFFECTIVE ALGORITHM FOR MINIMIZATION.

Autor A A Goldstein; J F Price; BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB.
Vydavatel: Ft. Belvoir Defense Technical Information Center SEP 1966.
Vydání/formát:   Kniha : English
Databáze:WorldCat
Shrnutí:
An algorithm is proposed for minimizing certain nice C2 functions f on En assuming only a computational knowledge of f and grad f. It is shown that the algorithm provides global convergence at a rate which is eventually superlinear and possibly quadratic. The algorithm is purely algebraic and does not require the minimization of any functions of one variable. Numerical computation on specific problems with as many  Přečíst více...
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Detaily

Typ dokumentu: Book
Všichni autoři/tvůrci: A A Goldstein; J F Price; BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB.
OCLC číslo: 227432796
Popis: 15 p.

Anotace:

An algorithm is proposed for minimizing certain nice C2 functions f on En assuming only a computational knowledge of f and grad f. It is shown that the algorithm provides global convergence at a rate which is eventually superlinear and possibly quadratic. The algorithm is purely algebraic and does not require the minimization of any functions of one variable. Numerical computation on specific problems with as many as six independent variables has shown that the method compares very favorably with the best of the other known methods. The method is compared with the Fletcher and Powell method for a simple two dimensional test problem and for a six dimensional problem arising in control theory. (Author).

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