Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems

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.

List of contents

Elements of Newtonian Mechanics.- Solution of Systems of Linear Equations.- Linear Systems: Numerical Simulations.- Eigenvalue Problems.- Eigenvalue Problems: Numerical Simulations.- Linear Programming.- Quadratic Programming.

About the author

Luis Vazquez, Universidad Complutense de Madrid, [e-mail]

Salvador Jimenez, Universidad Politecnica de Madrid, [e-mail]

Summary

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.

Additional text

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)

Report

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)

Product details

• Authors: Luis Vazquez de Frutos, Salvador Jimenez, Salvador Jiménez, Luis Vazquez, Lui Vázquez, Luis Vázquez
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2014
• EAN: 9781493900176
• ISBN: 978-1-4939-0017-6
• No. of pages: 140
• Dimensions: 157 mm x 235 mm x 236 mm
• Weight: 242 g
• Illustrations: XII, 140 p.
• Series: Nonlinear Systems and Complexity; Nonlinear Systems and Complexity
• Subjects: Natural sciences, medicine, IT, technology > Technology > General, dictionaries; Social sciences, law, business > Business; Algebra, Operations Research, B, engineering, Management & management techniques, Operations Research, Management Science, Mathematical and Computational Engineering, Linear Algebra, Management science, Engineering mathematics, Applied mathematics, Operational research, Mathematical and Computational Engineering Applications, Matrix theory, Linear and Multilinear Algebras, Matrix Theory