Overview

This is the first in a new series of contributed, refereed volumes devoted to research in optimization by Australasian researchers and their collaborators. These volumes are intended to have wide scope and include survey papers by established researchers providing up-to-date information on research directions. This volume contains survey papers on the Clarke subdifferential and differentiability in Banach spaces, algorithms for solving nonsmooth equations, and control parametrization schemes in optimal control. Other topics covered include convex optimization, generalized convexity in optimization, nonsmooth analysis, and algorithms using approximations of sub-differentials.

Full Product Details

Author:   Andrew Eberhard ,  Robin Hill ,  Daniel Ralph ,  Barney M. Glover
Publisher:   Springer
Imprint:   Springer
Edition:   1999 ed.
Volume:   30
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   1.400kg
ISBN:  

9780792357339

ISBN 10:   0792357337
Pages:   302
Publication Date:   30 June 1999
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I Non-Smooth Analysis.- 1 A survey of Clarke’s subdifferential and the differentiability of locally Lipschitz functions.- 2 Continuous approximation of nonsmooth mappings.- II Generalized Convexity.- 3 Generalised convexity properties of marginal functions.- 4 Fractional programming with invexity.- 5 Supremal generators of spaces of homogeneous functions.- 6 Higher order convexity and duality in multiobjective programming problems.- III Algorithms for Nonsmooth Programming.- 7 A Survey of some nonsmooth equations and smoothing Newton methods.- 8 Minimization methods for one class of nonsmooth functions and calculation of semi-equilibrium prices.- 9 Potential reduction methods for the nonlinear complementarity problem.- 10 Approximations to the Clarke generalized Jacobians and nonsmooth least-squares minimization.- IV Global Optimization.- 11 A parametric approach to global optimization problems of a special kind.- 12 A Concave composite programming perspective on DC programming.- V Control Methodologies.- 13 A survey of the control parametrization and control parametrization enhancing methods for constrained optimal control problems.- 14 Multivariable controllers with time-domain inequality constraints.

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