Jean-Bapiste Hiriart-Urruty, Werner Oettli, Josef Stoer

Optimization (eBook, PDF)

Theory and Algorithms

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 272
• Erscheinungstermin: 25. November 2020
• Englisch
• ISBN-13: 9781000110517
• Artikelnr.: 60575884

Autorenporträt

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 Stoer is a Professor of Applied Mathematics at Universitat Wurzburg, Germany.

Inhaltsangabe

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