Nonlinear Systems and Complexity

Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems

Authors: Vazquez, Luis, Jimenez, Salvador

  • 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
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eBook $109.00
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  • ISBN 978-1-4614-5912-5
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Hardcover $149.00
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  • ISBN 978-1-4614-5911-8
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  • ISBN 978-1-4939-0017-6
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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.

About the authors

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

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)

Table of contents (7 chapters)

  • Elements of Newtonian Mechanics

    Vázquez, Luis (et al.)

    Pages 1-13

  • Solution of Systems of Linear Equations

    Vázquez, Luis (et al.)

    Pages 15-28

  • Solution of Systems of Linear Equations: Numerical Simulations

    Vázquez, Luis (et al.)

    Pages 29-41

  • Eigenvalue Problems

    Vázquez, Luis (et al.)

    Pages 43-65

  • Eigenvalue Problems: Numerical Simulations

    Vázquez, Luis (et al.)

    Pages 67-98

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-5912-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4614-5911-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4939-0017-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems
Authors
Series Title
Nonlinear Systems and Complexity
Series Volume
4
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-5912-5
DOI
10.1007/978-1-4614-5912-5
Hardcover ISBN
978-1-4614-5911-8
Softcover ISBN
978-1-4939-0017-6
Series ISSN
2195-9994
Edition Number
1
Number of Pages
XII, 140
Topics