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Optimization : Theory and Algorithms - Jean-Baptiste Hiriart-Urruty


Theory and Algorithms

Paperback Published: 1st August 1983
ISBN: 9780824770198
Number Of Pages: 253

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Featuring the best current research in the field, and presenting information that has not been published previously, this timely volume provides an improved understanding of the theory of optimization, including a general version of the Hahn-Banach principle ... explains known algorithms, and increases the number of efficient algorithms at your disposal ... and describes the practical solution of numerous optimization problems. Widespread interest in optimization methods makes this book a primary reference source for pure mathematicians interested in theoretical foundations of optimization, applied mathematicians engaged in designing practical algorithms, and those who apply optimization theory in areas including industrial engineering, business administration, and operations research. Additionally, it serves as an invaluable aid to graduate students of mathematics, operations research, optimization theory and applications, and approximation theory. Book jacket.

Prefacep. iii
Contributorsp. vii
Conference Participantsp. ix
Hypertangent Cones for a Special Class of Setsp. 3
Optimization by Level Set Methods I: Duality Formulaep. 13
A Generalized Concept of Conjugationp. 45
Well-Posed Saddle Point Problemsp. 61
Continuity Properties of Performance Functionsp. 77
On a General Formulation of the Hahn-Banach Principle with Application to Optimization Theoryp. 91
A Note on the Chebyshev [epsilon]-Approximation Problemp. 103
A Multiple Exchange Algorithm in Convex Programmingp. 113
Algorithmes Pour Extraire Une Sous-Suite Convergente D'Une Suite Non Convergentep. 131
The n-Step Square Convergence of Some Minimization Algorithms Related to Powell's Derivative Free Methodp. 153
Optimal Reconstruction of Surfaces Using Parametric Spline Functionsp. 187
On the Penalty Method for Constrained Variational Inequalitiesp. 197
Bang-Bang-Controls for Time-Optimal Parabolic Boundary Control Problems with Integral State Constraintsp. 213
Static and Dynamic Loads, Pointwise Constraint in Structural Optimizationp. 225
Estimation and Control in Finite State Discounted Dynamic Programmingp. 239
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9780824770198
ISBN-10: 0824770196
Series: Lecture Notes in Pure and Applied Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 253
Published: 1st August 1983
Country of Publication: US
Dimensions (cm): 25.2 x 17.73  x 1.25
Weight (kg): 0.49
Edition Number: 1

Earn 1169 Qantas Points
on this Book