Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems

  • Luis Vázquez
  • Salvador Jiménez

Part of the Nonlinear Systems and Complexity book series (NSCH, volume 4)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Luis Vázquez, Salvador Jiménez
    Pages 1-13
  3. Luis Vázquez, Salvador Jiménez
    Pages 15-28
  4. Luis Vázquez, Salvador Jiménez
    Pages 29-41
  5. Luis Vázquez, Salvador Jiménez
    Pages 43-65
  6. Luis Vázquez, Salvador Jiménez
    Pages 67-98
  7. Luis Vázquez, Salvador Jiménez
    Pages 99-115
  8. Luis Vázquez, Salvador Jiménez
    Pages 117-133
  9. Back Matter
    Pages 135-138

About this book

Introduction

Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems explores how Newton's equation for the motion of one particle in classical mechanics combined with finite difference methods allows creation of a mechanical scenario to solve basic problems in linear algebra and programming. The authors present a novel, unified numerical and mechanical approach and an important analysis method of optimization.

This book also:

Presents mechanical method for determining matrix singularity or non-independence of dimension and complexity

Illustrates novel mathematical applications of classical Newton’s law

Offers a new approach and insight to basic, standard problems

Includes numerous examples and applications

Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems is an ideal book for undergraduate and graduate students as well as researchers interested in linear problems and optimization, and nonlinear dynamics.

 

 

 

Keywords

Linear and Multilinear Algebras Mathematical Programming Matrix Theory Operations Research

Authors and affiliations

  • Luis Vázquez
    • 1
  • Salvador Jiménez
    • 2
  1. 1., Facultad de InformáticaUniversidad Complutense de MadridMadridSpain
  2. 2., E.T.S.I. TelecomunicaciónUniversidad Politécnica de MadridMadridSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-5912-5
  • Copyright Information Springer Science+Business Media New York 2013
  • Publisher Name Springer, New York, NY
  • eBook Packages Engineering
  • Print ISBN 978-1-4614-5911-8
  • Online ISBN 978-1-4614-5912-5
  • About this book
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