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  • © 2013

Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems

  • 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
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xii
  2. Elements of Newtonian Mechanics

    • Luis Vázquez, Salvador Jiménez
    Pages 1-13
  3. Solution of Systems of Linear Equations

    • Luis Vázquez, Salvador Jiménez
    Pages 15-28
  4. Solution of Systems of Linear Equations: Numerical Simulations

    • Luis Vázquez, Salvador Jiménez
    Pages 29-41
  5. Eigenvalue Problems

    • Luis Vázquez, Salvador Jiménez
    Pages 43-65
  6. Eigenvalue Problems: Numerical Simulations

    • Luis Vázquez, Salvador Jiménez
    Pages 67-98
  7. Linear Programming

    • Luis Vázquez, Salvador Jiménez
    Pages 99-115
  8. Quadratic Programming

    • Luis Vázquez, Salvador Jiménez
    Pages 117-133
  9. Back Matter

    Pages 135-138

About this book

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.

Reviews

From the reviews:

“The framework of the monograph is the construction of algorithms for linear and nonlinear optimization problems by applying numerical algorithms used to simulate the equation of motion for Newtonian particles. … The monograph is intended for a broad public, for undergraduate and graduate students and for researchers. … There are illustrative examples in two or three variables at the end of each chapter. Several figures help the reader to understand the methods.” (Werner H. Schmidt, Zentralblatt MATH, Vol. 1264, 2013)

Authors and Affiliations

  • , Facultad de Informática, Universidad Complutense de Madrid, Madrid, Spain

    Luis Vázquez

  • , E.T.S.I. Telecomunicación, Universidad Politécnica de Madrid, Madrid, Spain

    Salvador Jiménez

About the authors

Luis Vazquez, Universidad Complutense de Madrid, lvazquez@fdi.ucm.es
Salvador Jimenez, Universidad Politecnica de Madrid, s.jimenez@upm.es

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access