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Turnpike Phenomenon and Symmetric Optimization Problems

  • Book
  • © 2022

Overview

Authors:
  1. Alexander J. Zaslavski

    1. Department of Mathematics, Technion – Israel Institute of Technol, Haifa, Israel

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  • Discusses applications to crystallography and discrete dispersive dynamical systems
  • Rich in impressive theoretical results
  • Presents a systematic and comprehensive study of general classes of problems in optimization

Part of the book series: Springer Optimization and Its Applications (SOIA, volume 190)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Introduction

    • Alexander Zaslavski
    Pages 1-23

  3. Symmetric Optimization Problems

    • Alexander Zaslavski
    Pages 25-89

  4. Parametric Optimization

    • Alexander Zaslavski
    Pages 91-107

  5. Infinite Dimensional Control

    • Alexander Zaslavski
    Pages 109-129

  6. Symmetric Variational Problems

    • Alexander Zaslavski
    Pages 131-191

  7. Infinite Dimensional Optimal Control

    • Alexander Zaslavski
    Pages 193-265

  8. Optimization Problems Arising in Crystallography

    • Alexander Zaslavski
    Pages 267-294

  9. Discrete Dispersive Dynamical Systems

    • Alexander Zaslavski
    Pages 295-325

  10. Back Matter

    Pages 327-336
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Keywords

About this book

Written by a leading expert in turnpike phenomenon, this book is devoted to the study of symmetric optimization, variational and optimal control problems in infinite dimensional spaces and turnpike properties of their approximate solutions. The book presents a systematic and comprehensive study of general classes of problems in optimization, calculus of variations, and optimal control with symmetric structures from the viewpoint of the turnpike phenomenon. The author establishes generic existence and well-posedness results for optimization problems and individual (not generic) turnpike results for variational and optimal control problems. Rich in impressive theoretical results, the author presents applications to crystallography and discrete dispersive dynamical systems which have prototypes in economic growth theory.


This book will be useful for researchers interested in optimal control, calculus of variations turnpike theory and their applications, suchas mathematicians, mathematical economists, and researchers in crystallography, to name just a few.

Authors and Affiliations

  • Department of Mathematics, Technion – Israel Institute of Technol, Haifa, Israel

    Alexander J. Zaslavski

About the author

​Alexander J. Zaslavski is professor in the Department of Mathematics, Technion-Israel Institute of Technology, Haifa, Israel. He has authored numerous books with Springer, the most recent of which include Turnpike Theory for the Robinson–Solow–Srinivasan Model (978-3-030-60306-9),  The Projected Subgradient Algorithm in Convex Optimization (978-3-030-60299-4),  Convex Optimization with Computational Errors (978-3-030-37821-9), Turnpike Conditions in Infinite Dimensional Optimal Control (978-3-030-20177-7), Optimization on Solution Sets of Common Fixed Point Problems  (978-3-030-78848-3).

Bibliographic Information

  • Book Title: Turnpike Phenomenon and Symmetric Optimization Problems

  • Authors: Alexander J. Zaslavski

  • Series Title: Springer Optimization and Its Applications

  • DOI: https://doi.org/10.1007/978-3-030-96973-8

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022

  • Hardcover ISBN: 978-3-030-96972-1Published: 12 April 2022

  • Softcover ISBN: 978-3-030-96975-2Published: 13 April 2023

  • eBook ISBN: 978-3-030-96973-8Published: 11 April 2022

  • Series ISSN: 1931-6828

  • Series E-ISSN: 1931-6836

  • Edition Number: 1

  • Number of Pages: XI, 336

  • Topics: Optimization, Operations Research, Management Science

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