Mathematical Programming With Data Perturbations

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Mathematical Programming With Data Perturbations

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Author : Anthony V. Fiacco
language : en
Publisher: CRC Press
Release Date : 2020-09-23

Mathematical Programming With Data Perturbations written by Anthony V. Fiacco and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-23 with Mathematics categories.

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.

Mathematical Programming With Data Perturbations Ii Second Edition

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Author : Fiacco
language : en
Publisher: CRC Press
Release Date : 2020-09-23

Mathematical Programming With Data Perturbations Ii Second Edition written by Fiacco and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-23 with Mathematics categories.

This book presents theoretical results, including an extension of constant rank and implicit function theorems, continuity and stability bounds results for infinite dimensional problems, and the interrelationship between optimal value conditions and shadow prices for stable and unstable programs.

Mathematical Programming With Data Perturbations

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Author : Anthony V. Fiacco
language : en
Publisher: CRC Press
Release Date : 2020-09-24

Mathematical Programming With Data Perturbations written by Anthony V. Fiacco and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-24 with Mathematics categories.

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.

Mathematical Programming With Data Perturbations Ii Second Edition

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Author : Fiacco
language : en
Publisher: CRC Press
Release Date : 1983-01-24

Mathematical Programming With Data Perturbations Ii Second Edition written by Fiacco and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-01-24 with Mathematics categories.

Theorem of constant rank to lipschitzian maps; Lipschitzian perturbations of infinite optimization problems; On the continuity of the optimum set in parametric semiinfinite programming; Optimality conditions and shadow prices; Optimal value continuity and differential stability bounds under the mangasarian-fromovitz constraint qualification; Iteration and sensitivity for a nonlinear spatial equilibrium problem; A sensitivity analysis approach to iteration skipping in the harmonic mean algorithm; Least squares optimization with implicit model equations.

Mathematical Programming With Data Perturbations I

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Author : Anthony V. Fiacco
language : en
Publisher:
Release Date : 1982

Mathematical Programming With Data Perturbations I written by Anthony V. Fiacco and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.

Basic results; Applications and interfaces.

Mathematical Programming With Data Perturbations

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Author : Symposium on Mathematical Programming with Data Perturbations
language : en
Publisher:
Release Date : 1982

Mathematical Programming With Data Perturbations written by Symposium on Mathematical Programming with Data Perturbations and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.

Mathematical Programming With Data Perturbations Ii

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Author : Anthony V. Fiacco
language : en
Publisher:
Release Date : 1983

Mathematical Programming With Data Perturbations Ii written by Anthony V. Fiacco and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.

Perturbation Analysis Of Optimization Problems

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Author : J.Frederic Bonnans
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-22

Perturbation Analysis Of Optimization Problems written by J.Frederic Bonnans and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Mathematics categories.

The main subject of this book is perturbation analysis of continuous optimization problems. In the last two decades considerable progress has been made in that area, and it seems that it is time now to present a synthetic view of many important results that apply to various classes of problems. The model problem that is considered throughout the book is of the form (P) Min/(x) subjectto G(x) E K. xeX Here X and Y are Banach spaces, K is a closed convex subset of Y, and / : X -+ IR and G : X -+ Y are called the objective function and the constraint mapping, respectively. We also consider a parameteriZed version (P ) of the above u problem, where the objective function / (x, u) and the constraint mapping G(x, u) are parameterized by a vector u varying in a Banach space U. Our aim is to study continuity and differentiability properties of the optimal value v(u) and the set S(u) of optimal solutions of (P ) viewed as functions of the parameter vector u.

Analytic Perturbation Theory And Its Applications

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Author : Konstantin E. Avrachenkov
language : en
Publisher: SIAM
Release Date : 2013-12-11

Analytic Perturbation Theory And Its Applications written by Konstantin E. Avrachenkov and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-11 with Mathematics categories.

Mathematical models are often used to describe complex phenomena such as climate change dynamics, stock market fluctuations, and the Internet. These models typically depend on estimated values of key parameters that determine system behavior. Hence it is important to know what happens when these values are changed. The study of single-parameter deviations provides a natural starting point for this analysis in many special settings in the sciences, engineering, and economics. The difference between the actual and nominal values of the perturbation parameter is small but unknown, and it is important to understand the asymptotic behavior of the system as the perturbation tends to zero. This is particularly true in applications with an apparent discontinuity in the limiting behavior?the so-called singularly perturbed problems. Analytic Perturbation Theory and Its Applications includes a comprehensive treatment of analytic perturbations of matrices, linear operators, and polynomial systems, particularly the singular perturbation of inverses and generalized inverses. It also offers original applications in Markov chains, Markov decision processes, optimization, and applications to Google PageRank? and the Hamiltonian cycle problem as well as input retrieval in linear control systems and a problem section in every chapter to aid in course preparation.

Operations Research 91

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Author : Peter Gritzmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Operations Research 91 written by Peter Gritzmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.

The volume comprises a collection of 172 extented abstracts of talks presented at the 16th Symposium on Operations Rese- arch held at the University of Trier in September 1991. It is designated to serve as a quickly published documentation of the scientific activities of the conference. Subjects and areas touched upon include theory, modelling and computational methods in optimization, combinatorial op- timization and discrete mathematics, combinatorial problems in VLSI, scientific computing, stochastic and dynamic opti- mization, queuing, scheduling, stochastics and econometrics, mathematical economics and game theory, utility, risk, insu- rance, financial engineering, computer science in business and economics, knowledge engineering and production and ma- nufacturing.