Nonsmooth Optimization Methods
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Nonsmooth Optimization Methods

Nonsmooth Optimization Methods


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About the Book

"Nonsmooth Optimization Methods and Applications" provides an overview of this branch of mathematics, concentrating on the interaction between the theory and its applications. The topics covered include: generalization of convexity, invexity, coercivity, monotonicity and pseudoconvexity; generalization of differentiability of functions and multifunctions, and their applications to extremum problems; variational and hemivariational inequalities and their applications to mechanics and operations research; calculus for non-differentiable functions and new developments in the calculus of variations; stability of mathematical programs; Lagrangian multipliers and augmented Langrangian theory; penalty methods; vector extremum problems and methods for solving non-differentiable extremum problems, in particular bundle methods.

Table of Contents:
On the subdifferentiability of functions of a matrix spectrum I - mathematical foundations; evolution of selected Nash equilibria; a new class of invex multifunctions; on a general scheme for solving inclusions using derivatives of set-valued mappings; treatment of certain non-smooth vector optimization problems via geometric vector optimization; conical inverse mapping theorems and applications to some control problems; a restricted step proximal bundle method for nonconvex nondifferentiable optimization; best rational approximation on a system of intervals; on some noncoercive problems related to delamination in layered composites; some calculus rules for semidifferentiable functions and related topics; analytical and computational advances in quasidifferential calculus for nonsmooth optimization.

About the Author :
F. Giannessi, Department of Mathematics, University of Pisa, Italy.


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Product Details
  • ISBN-13: 9782881248788
  • Publisher: Gordon & Breach Science Publishers SA
  • Publisher Imprint: Gordon & Breach Science Publishers SA
  • Height: 254 mm
  • No of Pages: 445
  • Width: 178 mm
  • ISBN-10: 2881248780
  • Publisher Date: 10 Feb 1993
  • Binding: Hardback
  • Language: English
  • Weight: 952 gr


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