Overview

The book, comprised predominantly of survey chapters, is a collection of recent results in various fields of theoretical and applied optimization and related topics. It contains survey papers on second order nonsmooth analysis, based on subjects, multiplicative programs and c-programming, optimal algorithms in emergent computation, the extremal principle and its applications, turnpike property for variational problems, asymptotic behavior of random infinite products of some operators, inequalities for Riemann-Stieltjes integral. Other topics covered include nonsmooth analysis and analysis of linear operators and set-valued mappings, numerical methods and generalized penalty functions, applied optimal control problems and Markov decision processes, optimal estimation of signal parameters and the problem of maximal time congestion. Audience: Specialists in optimization, mathematical programming, convex analysis, nonsmoooth analysis, engineers using mathematical tools and optimization technique, specialists in mathematical modeling.

Full Product Details

Author:   Alexander M. Rubinov ,  Barney M. Glover
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2001
Volume:   47
Dimensions:   Width: 15.50cm , Height: 2.40cm , Length: 23.50cm
Weight:   0.730kg
ISBN:  

9781441948441

ISBN 10:   1441948449
Pages:   462
Publication Date:   09 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

I Numerical Methods and Applications.- 1 An Approach to Constructing Generalized Penalty Functions.- 2 An Exact Method for Solving the Subproblem of the Cutting Angle Method of Global Optimization.- 3 On Modeling Risk in Markov Decision Processes.- 4 Multiplicative Programming and Beyond Via C-Programming.- 5 Computing Optimal Control on Matlab — The Scom Package and Economic Growth Models.- 6 Stochastic Optimal Control of a Solar Car.- 7 On Optimal Algorithms in Emergent Computation.- 8 Optimal Estimation of Signal Parameters Using Bilinear Observations.- 9 On an Extremal Problem Arising in Queueing Theory and Telecommunications.- 10 Level Functions of Some Optimal Value Functions.- 11 Regularized Gap Functions and D-Gap Functions for Nons Mooth Variational Inequalities.- II Theory of Optimization and Related Topics.- 12 Convex Spectral Functions of Compact Operators, Part II: Lower Semicontinuity and Rearrangement Invariance.- 13 Some Inequalities for Riemann-Stieltjes Integral and Applications.- 14 Prox—Regularity and Subjets.- 15 Concerning Differentiability Properties of Locally Lipschitz Functions.- 16 Laurent Series for the Inversion of Perturbed Linear Operators on Hilbert Space.- 17 The Extremal Principle and Its Applications to Optimization and Economics.- 18 Generic Convergence of Infinite Products of Nonexpansive Mappings In Banach and Hyperbolic Spaces.- 19 Recession Cones of Star-Shaped and Co-Star-Shaped Sets.- 20 Does Continuity of Convex-Valued Maps Survive Under Intersection?.- 21 Existence and Structure of Solutions of Optimal Control Problems.

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