Optimization : theory and algorithms
Author(s)
Bibliographic Information
Optimization : theory and algorithms
（Lecture notes in pure and applied mathematics, v. 86）
M. Dekker, c1983
- pbk.
Available at / 52 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
C-P||Confolant||1981.32965444
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
pbk.DC19:511/H6142021202763
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Note
Includes bibliographies
A collection of 15 papers presented at a conference held from Mar. 16 to 20, 1981, and sponsored by the Scientific Council of the University of Clermont-Ferrand II and the French Mathematical Society
Description and Table of Contents
Description
This book is concerned with tangent cones, duality formulas, a generalized concept of conjugation, and the notion of maxi-minimizing sequence for a saddle-point problem, and deals more with algorithms in optimization. It focuses on the multiple exchange algorithm in convex programming.
Table of Contents
I: Theory 1. Hypertangent Cones for a Special Class of Sets 2. Optimization by Level Set Methods I : Duality Formulae 3. A Generalized Concept of Conjugation 4. Well-Posed Saddle Point Problems 5. Continuity Properties of Performance Functions 6. On a General Formulation of the Hahn-Banach Principle with Application to Optimization Theory 7. A Note on the Chebyshev e-Approximation Problem II: Algorithms 8. A Multiple Exchange Algorithm in Convex Programming 9. Algorithmes Pour Extraire Une Sous-Suite Convergente D'UNE Suite Non Convergente 10. The n-Step Square Convergence of Some Minimization Algorithms Related to Powell's Derivative Free Method III: Applications 11. Optimal Reconstruction of Surfaces Using Parametric Spline Functions 12. On the Penalty Method for Constrained Variational Inequalities 13. Bang-Bang-Controls for Time-Optimal Parabolic Boundary Control Problems with Integral State Constraints 14. Static and Dynamic Loads, Pointwise Constraint in Structural Optimization 15. Estimation and Control in Finite State Discounted Dynamic Programming
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