Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems
By: by Luis Vázquez, Salvador Jiménez
Contributors: Jiménez, Salvador; SpringerLink (Online service)
Series: Nonlinear Systems and Complexity -- 4
Publisher: Springer New York; Imprint: Springer
Published: 2013
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 138
ISBN-13: 9781461459125
Subjects: Matrix Theory Linear and Multilinear Algebras; Appl.Mathematics/Computational Methods of Engineering; Engineering; Engineering mathematics; Matrix theory; Management Science Operations Research
Description: <p><i>Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems</i> 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.</p><p>This book also:</p><p>Presents mechanical method for determining matrix singularity or non-independence of dimension and complexity </p><p>Illustrates novel mathematical applications of classical Newton’s law </p><p>Offers a new approach and insight to basic, standard problems </p><p>Includes numerous examples and applications</p><p><i>Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems </i>is an ideal book for undergraduate and graduate students as well as researchers interested in linear problems and optimization, and nonlinear dynamics.</p><p> </p> <p> </p>
Table of contents: title: <p>Elements of Newtonian Mechanics; title: Solution of Systems of Linear Equations; title: Linear Systems: Numerical Simulations; title: Eigenvalue Problems; title: Eigenvalue Problems: Numerical Simulations; title: Linear Programming; title: Quadratic Programming.</p>.