Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems

By Luis Vázquez

Subjects: Matrix Theory Linear and Multilinear Algebras, Nonlinear mechanics, Management Science Operations Research, System theory, Engineering mathematics, Appl.Mathematics/Computational Methods of Engineering, Matrix theory, Mathematical optimization, Engineering

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>