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Mathematical Programming with Data Perturbations : Lecture Notes in Pure and Applied Mathematics - Anthony V. Fiacco

Mathematical Programming with Data Perturbations

Lecture Notes in Pure and Applied Mathematics

By: Anthony V. Fiacco (Editor)

Paperback Published: 1st September 1997
ISBN: 9780824700591
Number Of Pages: 464

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Presents research contributions and tutorial expositions on current methodologies for sensitivity, stability and approximation analyses of mathematical programming and related problem structures involving parameters. The text features up-to-date findings on important topics, covering such areas as the effect of perturbations on the performance of algorithms, approximation techniques for optimal control problems, and global error bounds for convex inequalities.

Discretization and Mesh-Independence of Newton's Method for Generalized Equationsp. 1
Extended Quadratic Tangent Optimization Problemsp. 31
On Generalized Differentiability of Optimal Solutions in Nonlinear Parametric Optimizationp. 47
Characterizations of Lipschitzian Stability in Nonlinear Programmingp. 65
On Second Order Sufficient Conditions for Structured Nonlinear Programs in Infinite-Dimensional Function Spacesp. 83
Algorithmic Stability Analysis for Certain Trust Region Methodsp. 109
A Note on Using Linear Knowledge to Solve Efficiently Linear Programs Specified with Approximate Datap. 133
On the Role of the Mangasarian-Fromovitz Constraint Qualification for Penalty-, Exact Penalty-, and Lagrange Multiplier Methodsp. 159
Hoffman's Error Bound for Systems of Convex Inequalitiesp. 185
Lipschitzian and Pseudo-Lipschitzian Inverse Functions and Applications to Nonlinear Optimizationp. 201
On Well-Posedness and Stability Analysis in Optimizationp. 223
Convergence of Approximations to Nonlinear Optimal Control Problemsp. 253
A Perturbation-Based Duality Classification for Max-Flow Min-Cut Problems of Strang and Irip. 285
Central and Peripheral Results in the Study of Marginal and Performance Functionsp. 305
Topological Stability of Feasible Sets in Semi-infinite Optimization: A Tutorialp. 339
Solution Existence for Infinite Quadratic Programmingp. 363
Sensitivity Analysis of Nonlinear Programming Problems via Minimax Functionsp. 387
Parametric Linear Complementarity Problemsp. 399
Sufficient Conditions for Weak Sharp Minima of Order Two and Directional Derivatives of the Value Functionp. 419
Indexp. 437
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780824700591
ISBN-10: 0824700597
Series: Lecture Notes in Pure and Applied Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 464
Published: 1st September 1997
Publisher: CRC PR INC
Country of Publication: US
Dimensions (cm): 25.15 x 17.68  x 2.08
Weight (kg): 0.79
Edition Number: 1