Perturbation theory in mathematical programming and its applications
著者
書誌事項
Perturbation theory in mathematical programming and its applications
（Wiley-Interscience series in discrete mathematics and optimization）
J. Wiley & Sons, c1994
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注記
Includes references (p. [367]-379) and index
内容説明・目次
内容説明
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.
目次
- 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.
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