Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications

Name: Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications
Brand: Springer Nature B.V.
SKU: 9781475785081
Price: 5127.0 INR
Availability: InStock

by Paul J.; Shih, Randy H. Schilling

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ISBN13: 9781475785081
Binding: Paperback
Subject: N/A
Publisher: Springer Nature B.V.
Publisher Imprint: Springer Nature B.V.
Publication Date: April 18, 2013
Pages: 364
Original Price: GBP 39.99
Language: English
Edition: N/A
Item Weight: 511 grams
BISAC Subject(s): N/A

About The Book

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. /LIST 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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