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Numerical Methods and Optimization

A Consumer Guide

  • Éric Walter

Table of contents

  1. Front Matter
    Pages i-xv
  2. Éric Walter
    Pages 1-6
  3. Éric Walter
    Pages 7-16
  4. Éric Walter
    Pages 17-57
  5. Éric Walter
    Pages 59-76
  6. Éric Walter
    Pages 77-97
  7. Éric Walter
    Pages 99-138
  8. Éric Walter
    Pages 139-165
  9. Éric Walter
    Pages 167-175
  10. Éric Walter
    Pages 177-244
  11. Éric Walter
    Pages 245-288
  12. Éric Walter
    Pages 289-298
  13. Éric Walter
    Pages 299-358
  14. Éric Walter
    Pages 359-378
  15. Éric Walter
    Pages 379-407
  16. Éric Walter
    Pages 409-414
  17. Éric Walter
    Pages 415-468
  18. Back Matter
    Pages 469-476

About this book

Introduction

Initial training in pure and applied sciences tends to present problem-solving as the process of elaborating explicit closed-form solutions from basic principles, and then using these solutions in numerical applications. This approach is only applicable to very limited classes of problems that are simple enough for such closed-form solutions to exist. Unfortunately, most real-life problems are too complex to be amenable to this type of treatment. Numerical Methods and Optimization – A Consumer Guide presents methods for dealing with them.

Shifting the paradigm from formal calculus to numerical computation, the text makes it possible for the reader to

·         discover how to escape the dictatorship of those particular cases that are simple enough to receive a closed-form solution, and thus gain the ability to solve complex, real-life problems;

·         understand the principles behind recognized algorithms used in state-of-the-art numerical software;

<·         learn the advantages and limitations of these algorithms, to facilitate the choice of which pre-existing bricks to assemble for solving a given problem; and

·         acquire methods that allow a critical assessment of numerical results.

Numerical Methods and Optimization – A Consumer Guide will be of interest to engineers and researchers who solve problems numerically with computers or supervise people doing so, and to students of both engineering and applied math

ematics.

 

Keywords

Linear Algebra Numerical Algorithms Optimization Simulation Systems of Equations

Authors and affiliations

  • Éric Walter
    • 1
  1. 1.Laboratoire des Signaux et SystèmesCNRS-SUPÉLEC-Université Paris-SudGif-Sur-YvetteFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-07671-3
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-07670-6
  • Online ISBN 978-3-319-07671-3
  • Buy this book on publisher's site
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