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Engineering - Computational Intelligence and Complexity | Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems

Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems

de Frutos, Luis Vazquez, Jimenez, Salvador

2013, XII, 140 p.

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  • 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 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.

 

 

 

Content Level » Research

Keywords » Linear and Multilinear Algebras - Mathematical Programming - Matrix Theory - Operations Research

Related subjects » Algebra - Applications - Computational Intelligence and Complexity

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