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Kniha Nonsmooth Equations in Optimization Diethard Klatte

Nonsmooth Equations in Optimization

Regularity, Calculus, Methods and Applications

Autor: Diethard Klatte, B. Kummer
Jazyk: Angličtina
Väzba: Pevná
Vydavateľ: Springer, Berlin
Dostupnosť: Skladom u dodávateľa
Odosielame za 10-13 dní
149.45 €
The book establishes links between regularity and derivative concepts of nonsmooth analysis and stud...

Informácie o knihe

Autor
Diethard Klatte, B. Kummer
Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
2002
Stránok
333
EAN
9781402005503
ISBN
1402005504
Enbook ID
01414760
Vydavateľ
Springer, Berlin
Hmotnosť
694
Rozmery
160 x 240 x 20

Kompletný popis

The book establishes links between regularity and derivative concepts of nonsmooth analysis and studies of solution methods and stability for optimization, complementarity and equilibrium problems. In developing necessary tools, it presents, in particular: an extended analysis of Lipschitz functions and the calculus of their generalized derivatives, including regularity, successive approximation and implicit functions for multivalued mappings; a unified theory of Lipschitzian critical points in optimization and other variational problems, with relations to reformulations by penalty, barrier and NCP functions; an analysis of generalized Newton methods based on linear and nonlinear approximations; the interpretation of hypotheses, generalized derivatives and solution methods in terms of original data and quadratic approximations; a rich collection of instructive examples and exercises. Pds. /LIST Pds. Audience: Researchers, graduate students and practitioners in various fields of applied mathematics, engineering, OR and economics. Also university teachers and advanced students who wish to get insights into problems, future directions and recent developments.

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