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Applied Optimization #47: Optimization and Related Topics

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Applied Optimization #47: Optimization and Related Topics Cover

 

Synopses & Reviews

Publisher Comments:

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.

Table of Contents

Preface. Part I: Numerical methods and applications. 1. An approach to constructing generalized penalty functions; M. Andramonov. 2. An exact method for solving the subproblem of the cutting angle method of global optimization; D.A. Babayev. 3. On modeling risk in Markov decision processes; S. Levitt, A. Ben-Israel. 4. Multiplicative programming and beyond via C-programming; L. Churilov, M. Sniedovich. 5. Computing optimal control on matlab - the SCOM package and economic growth models; B.D. Craven, S.M.N. Islam. 6. Stochastic optimal control of a solar car; J. Boland, et al. 7. On optimal algorithms in emergent computation; V. Korotkich. 8. Optimal estimation of signal parameters using bilinear observations; P.M. Pardalos, et al. 9. On an extremal problem arising in queueing theory and telecommunications; M. Peake, C.E.M. Pearce. 10. Level functions of some optimal value functions; H. Xu. 11. Regularized gap functions and D-gap functions for nonsmooth variational inequalities; H. Xu. Part II: Theory of optimization and related topics. 12. Convex spectral functions of compact operators, Part II: lower semicontinuity and rearrangement invariance; J.M. Borwein, et al. 13. Some inequalities for Riemann-Stieltjes integral and applications; S.S. Dragomir. 14. Prox-regularity and subjets; A. Eberhard. 15. Concerning differentiability properties of locally Lipschitz functions; J.R.Giles, S. Sciffer. 16. Laurent series for the inversion of perturbed linear operators on Hilbert space; Ph. Howlett, K. Avrachenkov. 17. The extremal principle and its applications to optimization and economics; B.S. Mordukhovich. 18. Generic convergence of infinite products of nonexpansive mappings in Banach and hyperbolic spaces; S. Reich, A.J. Zaslavski. 19. Recession cones of star-shaped and co-star-shaped sets; A.P. Shveidel. 20. Does continuity of convex-valued maps survive under intersection? A. Vladimirov. 21. Existence and structure of solutions of optimal control problems; A.J. Zaslavski. References.

Product Details

ISBN:
9780792367321
Author:
Rubinov, Alexander
Publisher:
Springer
Editor:
Rubinov, A.
Editor:
Glover, Barney M.
Author:
Glover, Barney M.
Author:
Rubinov, A.
Author:
Rubinov, Alexander M.
Location:
Boston, MA
Subject:
Linear Programming
Subject:
Mathematical optimization
Subject:
Game Theory
Subject:
Mathematical Analysis
Subject:
OPTIMIZATION
Subject:
Calculus of Variations and Optimal Control; Optimization
Subject:
Operator theory
Subject:
Computational Mathematics and Numerical Analysis
Subject:
Functional Analysis
Subject:
Mathematics-Modeling
Subject:
Applied
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Computer science_xMathematics
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Applied Optimization
Series Volume:
v. 47
Publication Date:
December 2000
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
475
Dimensions:
240 x 160 mm 1870 gr

Related Subjects

Science and Mathematics » Chemistry » Physical Chemistry
Science and Mathematics » Electricity » General Electricity
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Basics
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Computer
Science and Mathematics » Mathematics » Modeling

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