Nonsmooth Equations in Optimization
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Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications(60 Nonconvex Optimization and Its Applications)

Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications(60 Nonconvex Optimization and Its Applications)


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About the Book

This title 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.

Table of Contents:
Basic Concepts.- Regularity and Consequences.- Characterizations of Regularity by Derivatives.- Nonlinear Variations and Implicit Functions.- Closed Mappings in Finite Dimension.- Analysis of Generalized Derivatives.- Critical Points and Generalized Kojima-functions.- Parametric Optimization Problems.- Derivatives and Regularity of Further Nonsmooth Maps.- Newton’s Method for Lipschitz Equations.- Particular Newton Realizations and Solution Methods.- Basic Examples and Exercises.


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Product Details
  • ISBN-13: 9781402005503
  • Publisher: Kluwer Academic Publishers
  • Publisher Imprint: Kluwer Academic Publishers
  • Height: 234 mm
  • No of Pages: 333
  • Returnable: Y
  • Sub Title: Regularity, Calculus, Methods and Applications
  • ISBN-10: 1402005504
  • Publisher Date: 31 May 2002
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Series Title: 60 Nonconvex Optimization and Its Applications
  • Width: 156 mm


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Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications(60 Nonconvex Optimization and Its Applications)
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Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications(60 Nonconvex Optimization and Its Applications)
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