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.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Maße
Höhe: 254 mm
Breite: 178 mm
Dicke: 15 mm
Gewicht
ISBN-13
978-0-8247-7019-8 (9780824770198)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Jean-Baptiste Hiriart-Urruty is a Professor of Mathematics at Universite Paul Sabatier, Toulouse France, Werner Oettli is a Professor of Mathematics at Universitat Mannhelm, Germany, Josef Stoeris a Professor of Applied Mathematics at Universitat Wurzburg, Germany.
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
