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Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems

✍ Scribed by Luis VÑzquez, Salvador Jiménez (auth.)


Publisher
Springer-Verlag New York
Year
2013
Tongue
English
Leaves
145
Series
Nonlinear Systems and Complexity 4
Edition
1
Category
Library

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✦ Synopsis


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.

✦ Table of Contents


Front Matter....Pages i-xii
Elements of Newtonian Mechanics....Pages 1-13
Solution of Systems of Linear Equations....Pages 15-28
Solution of Systems of Linear Equations: Numerical Simulations....Pages 29-41
Eigenvalue Problems....Pages 43-65
Eigenvalue Problems: Numerical Simulations....Pages 67-98
Linear Programming....Pages 99-115
Quadratic Programming....Pages 117-133
Back Matter....Pages 135-138

✦ Subjects


Appl.Mathematics/Computational Methods of Engineering; Operations Research, Management Science; Linear and Multilinear Algebras, Matrix Theory


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