Nonsmooth Equations in Optimization

Nonsmooth Equations in Optimization 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
  • Title: Nonsmooth Equations in Optimization
  • Author: Diethard Klatte Bernd Kummer
  • ISBN: 9781475785081
  • Page: 352
  • Format: Paperback
  • 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, sThe 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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      Diethard Klatte Bernd Kummer

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