Nondifferentiable Optimization - Rilegato

Dem'Yanov, V. F.; Vasil'Ev, Leonid V.

 
9780387909516: Nondifferentiable Optimization
Rilegato
ISBN 10: 0387909516 ISBN 13: 9780387909516
Casa editrice: Springer Verlag, 1985

Sinossi

Of recent coinage, the term "nondifferentiable optimization" (NDO) covers a spectrum of problems related to finding extremal values of nondifferentiable functions. Problems of minimizing nonsmooth functions arise in engineering applications as well as in mathematics proper. The Chebyshev approximation problem is an ample illustration of this. Without loss of generality, we shall consider only minimization problems. Among nonsmooth minimization problems, minimax problems and convex problems have been studied extensively ([31], [36], [57], [110], [120]). Interest in NDO has been constantly growing in recent years (monographs: [30], [81], [127] and articles and papers: [14], [20], [87]-[89], [98], [130], [135], [140]-[142], [152], [153], [160], all dealing with various aspects of non­ smooth optimization). For solving an arbitrary minimization problem, it is neces­ sary to: 1. Study properties of the objective function, in particular, its differentiability and directional differentiability. 2. Establish necessary (and, if possible, sufficient) condi­ tions for a global or local minimum. 3. Find the direction of descent (steepest or, simply, feasible--in appropriate sense). 4. Construct methods of successive approximation. In this book, the minimization problems for nonsmooth func­ tions of a finite number of variables are considered. Of fun­ damental importance are necessary conditions for an extremum (for example, [24], [45], [57], [73], [74], [103], [159], [163], [167], [168].

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Product Description

Book by Demyanov VF Vasilev LV

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Editore
Springer Verlag
Data di pubblicazione
1985
Lingua
Inglese
ISBN 10 
0387909516
ISBN 13 
9780387909516
Rilegatura
Copertina rigida
Numero di pagine
452
Contatto del produttore
Elevation
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Hamburg
22391
Germania

Altre edizioni note dello stesso titolo

9781461382706: Nondifferentiable Optimization

Edizione in evidenza

ISBN 10:  146138270X ISBN 13:  9781461382706
Casa editrice: Springer, 2012
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