Implicit Functions and Solution Mappings by Asen L Dontchev
Introduction and equation-solving background.- Solution mappings for variational problems.- Set-valued analysis of solution mappings.- Regularity properties through generalized derivatives.- Metric regularity in infinite dimensions.- Applications in numerical variational analysis.-
Numerical Optimization
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Derivative-Free and Blackbox Optimization
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The Logic of Logistics
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Many Agent Games in Socio-economic Systems: Corruption, Inspection, Coalition Building, Network Growth, Security
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Risk-Averse Optimization and Control
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Newton-Type Methods for Optimization and Variational Problems
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Extreme Value Theory for Time Series
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Perturbation Analysis of Optimization Problems
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QPLEX: A Computational Modeling and Analysis Methodology for Stochastic Systems
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Risk and Portfolio Analysis
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Introduction to Queueing Networks
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Facility Location
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Extreme Values In Random Sequences
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Stochastic Models with Power-Law Tails
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Monte Carlo
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Decision Aids for Selection Problems
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Kronecker Modeling and Analysis of Multidimensional Markovian Systems
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Cooperative Stochastic Differential Games
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Linear and Integer Programming vs Linear Integration and Counting
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Analysis and Algorithms for Service Parts Supply Chains
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Principles of Inventory Management
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Stochastic Petri Nets
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Finite-Dimensional Variational Inequalities and Complementarity Problems
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Single-Facility Location Problems with Barriers
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Linear Programming 2
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Performance Analysis of Manufacturing Systems
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Dynamic Control of Quality in Production-Inventory Systems
“The book represents the state of the art of the modern theory of inverse and implicit functions and provides an important source for studies of numerical methods and applications in this areaIt can be warmly recommended to all specialists and advanced students working in optimization, analysis, numerical mathematics, and other mathematical fields, as well as to all those who apply variational analysis in engineering, physics, operations research, economics, finance, and more.” (Diethard Klatte, SIAM Review, Vol. 57 (2), June, 2015)
“The book commences with a helpful context-setting preface followed by six chapters. Each chapter starts with a useful preamble and concludes with a careful and instructive commentary, while a good set of references, a notation guide and a somewhat brief index complete this study. … I unreservedly recommended this book to all practitioners and graduate students interested in modern optimization theory or control theory or to those just engaged bybeautiful analysis cleanly described.” (Jonathan Michael Browein, IEEE Control Systems Magazine, February, 2012).
“This book is devoted to the theory of inverse and implicit functions and some of its modifications for solution mappings in variational problems. … The book is targeted to a broad audience of researchers, teachers and graduate students. It can be used as well as a textbook as a reference book on the topic. Undoubtedly, it will be used by mathematicians dealing with functional and numerical analysis, optimization, adjacent branches and also by specialists in mechanics, physics, engineering, economics and so on.” (Peter Zabreiko, Zentralblatt MATH, Vol. 1178, 2010).
“The present monograph will be a most welcome and valuable addition. … This book will save much time and effort, both for those doing research in variational analysis and for students learning the field. This important contribution fills a gap in the existing literature.” (Stephen M. Robinson, Mathematical Reviews, Issue 2010).
Asen L. Dontchev is a Professor at the Department of Mathematics at the University of Michigan. R. Tyrrell Rockafellar is a Professor at the Department of Mathematics at the University of Washington and at the Department of Industrial and Systems Engineering at the University of Florida.
| SKU | Unavailable |
| ISBN 13 | 9781493939695 |
| ISBN 10 | 1493939696 |
| Title | Implicit Functions and Solution Mappings |
| Author | Asen L Dontchev |
| Series | Springer Series In Operations Research And Financial Engineering |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2016-09-03 |
| Number of pages | 466 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |