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Interviews | November 3, 2009

Sheila A.: IMG On Storytelling: The Powells.com Interview with Donald Miller

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donaldmillerDonald Miller is a Christian writer, but the question that Miller asks with his latest memoir, A Million Miles in a Thousand Years, is applicable to... Continue »
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1 Technical Mathematics- Functional Analysis

More copies of this ISBN:

Other titles in the CMS Books in Mathematics series:

  1. A Concrete Approach to Classical Analysis
  2. An Introduction to Semiclassical and Microlocal Analysis
  3. Biorthogonal Systems in Banach Spaces
  4. Combinatorial Methods: Free Groups, Polynomials, Free Algebras
  5. Convex Analysis & Nonlinear Optimiza 2ND Edition
  6. Convex Functions & Their Applications a Contemp
  7. Convexity and Well-Posed Problems
  8. Mathematics and the Aesthetic
  9. Mathematics and the Historian's Craft: The Kenneth O. May Lectures
  10. Revolutionary Era, 1789-1950
  11. Solving the Pell Equation
  12. Techniques of Variational Analysis
  13. The Riemann Hypothesis: A Resource for the Afficionado and Virtuoso Alike
  14. Orthogonal Polynomials for Exponential Weights
  15. Reflection Groups and Invariant Theory
  16. Two Millennia of Mathematics
  17. Best Approximation in Inner Product Spaces
  18. Functional Analysis and Infinite-Dimensional Geometry
  19. Discrepancy of Signed Measures and Polynomial Approximation
  20. 17 Lectures on Fermat Numbers: From Number Theory to Geometry
  21. Computational Excursions in Analysis and Number Theory
  22. Differentiable Optimization and Equation Solving: A Treatise on Algorithmic Science and the Karmarkar Revolution
  23. Counting and Configurations: Problems in Classical Combinatorics and Combinatorial Geometry (03 Edition)
  24. Interpolation and Approximation by Polynomials
  25. Generalized Inverses Theory & Applications 2ND Edition
  26. Dynamical Systems in Population Biology
  27. Variational Methods in Partially Ordered Spaces

CMS Books in Mathematics #22: Duality for Nonconvex Approximation and Optimization

by Ivan Singer

CMS Books in Mathematics #22: Duality for Nonconvex Approximation and Optimization Cover

ISBN13: 9780387283944
ISBN10: 0387283943
Condition: Standard
Dustjacket: None
All Product Details

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Synopses & Reviews

Publisher Comments:

The theory of convex optimization has been constantly developing over the past 30 years.  Most recently, many researchers have been studying more complicated classes of problems that still can be studied by means of convex analysis, so-called "anticonvex" and "convex-anticonvex" optimizaton problems.  This manuscript contains an exhaustive presentation of the duality for these classes of problems and some of its generalization in the framework of abstract convexity.  This manuscript will be of great interest for experts in this and related fields.

Synopsis:

The theory of convex optimization has been developing constantly over the past 30 years. Recently, researchers have been studying more complicated classes of problems that still can be studied by means of convex analysis, so-called "anticonvex" and "convex-anticonvex" optimization problems. This monograph contains an exhaustive presentation of the duality theory for these classes of problems and their generalizations.
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Table of Contents

Preliminaries.- Worst Approximation.- Duality for Quasi-convex Supremization.- Optimal Solutions for Quasi-convex Maximization.- Reverse Convex Best Approximation.- Unperturbational Duality for Reverse Convex Infimization.- Optimal Solutions for Reverse Convex Infimization.- Duality for D.C. Optimization Problems.- Duality for Optimization in the Framework of Abstract Convexity.- Notes and Remarks.- References.- Index

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Product Details

ISBN:
9780387283944
Author:
Singer, Ivan
Publisher:
Springer
Subject:
Calculus
Subject:
Linear Programming
Subject:
Mathematical Analysis
Subject:
Approximation theory
Subject:
Convex domains
Subject:
Duality theory (Mathematics)
Copyright:
2005
Edition Number:
1
Series:
CMS Books in Mathematics
Series Volume:
22
Publication Date:
February 2006
Binding:
Hardcover
Language:
English
Illustrations:
Y
Pages:
355
Dimensions:
9.36x6.22x.84 in. 1.41 lbs.
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