Advertisement

Deterministic Global Optimization

Theory, Methods and Applications

  • Christodoulos A. Floudas

Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 37)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Introduction

    1. Christodoulos A. Floudas
      Pages 1-32
  3. Basic Concepts of Global Optimization

    1. Christodoulos A. Floudas
      Pages 33-64
  4. Biconvex and Bilinear Problems

    1. Front Matter
      Pages 65-65
    2. Christodoulos A. Floudas
      Pages 141-172
    3. Christodoulos A. Floudas
      Pages 173-191
    4. Christodoulos A. Floudas
      Pages 193-242
    5. Christodoulos A. Floudas
      Pages 243-253
  5. Signomial Problems

    1. Front Matter
      Pages 255-255
    2. Christodoulos A. Floudas
      Pages 257-287
    3. Christodoulos A. Floudas
      Pages 289-306
  6. Towards General Twice Differentiable NLPs

    1. Front Matter
      Pages 307-307
    2. Christodoulos A. Floudas
      Pages 309-314
    3. Christodoulos A. Floudas
      Pages 377-402
    4. Christodoulos A. Floudas
      Pages 403-433
    5. Christodoulos A. Floudas
      Pages 435-450
    6. Christodoulos A. Floudas
      Pages 451-480
    7. Christodoulos A. Floudas
      Pages 481-505
    8. Christodoulos A. Floudas
      Pages 507-541
    9. Christodoulos A. Floudas
      Pages 543-568
  7. Nonlinear and Mixed-Integer Optimization

    1. Front Matter
      Pages 569-569
    2. Christodoulos A. Floudas
      Pages 571-585
    3. Christodoulos A. Floudas
      Pages 587-615
    4. Christodoulos A. Floudas
      Pages 617-638
  8. Nonlinear Constrained Systems of Equations

    1. Front Matter
      Pages 639-639
    2. Christodoulos A. Floudas
      Pages 641-666
    3. Christodoulos A. Floudas
      Pages 667-698
  9. Back Matter
    Pages 699-742

About this book

Introduction

The vast majority of important applications in science, engineering and applied science are characterized by the existence of multiple minima and maxima, as well as first, second and higher order saddle points. The area of Deterministic Global Optimization introduces theoretical, algorithmic and computational ad­ vances that (i) address the computation and characterization of global minima and maxima, (ii) determine valid lower and upper bounds on the global minima and maxima, and (iii) address the enclosure of all solutions of nonlinear con­ strained systems of equations. Global optimization applications are widespread in all disciplines and they range from atomistic or molecular level to process and product level representations. The primary goal of this book is three fold : first, to introduce the reader to the basics of deterministic global optimization; second, to present important theoretical and algorithmic advances for several classes of mathematical prob­ lems that include biconvex and bilinear; problems, signomial problems, general twice differentiable nonlinear problems, mixed integer nonlinear problems, and the enclosure of all solutions of nonlinear constrained systems of equations; and third, to tie the theory and methods together with a variety of important applications.

Keywords

Azeotrope Maxima Operations Research Quad algorithms linear optimization nonlinear optimization optimization

Authors and affiliations

  • Christodoulos A. Floudas
    • 1
  1. 1.Department of Chemical EngineeringPrinceton UniversityPrincetonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-4949-6
  • Copyright Information Springer-Verlag US 2000
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-4820-5
  • Online ISBN 978-1-4757-4949-6
  • Series Print ISSN 1571-568X
  • Buy this book on publisher's site
Industry Sectors
Pharma
Materials & Steel
Finance, Business & Banking
Aerospace
Oil, Gas & Geosciences
Engineering