Perturbation theory in mathematical programming and its applications
Author(s)
Bibliographic Information
Perturbation theory in mathematical programming and its applications
(Wiley-Interscience series in discrete mathematics and optimization)
J. Wiley & Sons, c1994
Available at 25 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes references (p. [367]-379) and index
Description and Table of Contents
Description
This volume represents the sum of the author's research in the local parametric optimization of finite-dimensional cases. It presents a complete formulation of the main perturbation theory problems for finite-dimensional optimization, as well as new mathematical methods to analyze these problems. Using a unified approach, the author has developed a general perturbation theory for finite-dimensional extremum problems. Within the framework of this theory, methods for studying perturbed problems in zero-, first-and second-order approximations have been developed.
Table of Contents
- PART I: FOUNDATIONS OF THEORY AND METHODS OF FINITE-DIMENSIONAL OPTIMIZATION: Basic Concepts, Problems and Fields of Applications of Perturbation Theory
- Perturbation Theory of Smooth Mathematical Programming Problems (Main Results)
- Examples of Studies in Parametric Optimization Problems, Applications of Perturbation Theory
- PART II: BASIC PERTURBATION THEORY IN FINITE-DIMENSIONAL OPTIMIZATION: Elements of Convex and Nonconvex Analysis
- Optimality Criteria in Generating Problems
- PART III: PERTURBATION THEORY IN MATHEMATICAL PROGRAMMING: General Perturbation Theory
- Perturbation Theory for Smooth Mathematical Programming Problems
- Perturbation Theory for Convex Programming Problems
- Theory of Minimax Perturbations under Bound Constraints.
by "Nielsen BookData"