Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems [electronic resource] / by Luis Vázquez, Salvador Jiménez.Material type: TextLanguage: English Series: Nonlinear Systems and Complexity: 4Publisher: New York, NY : Springer New York : Imprint: Springer, 2013Description: XII, 138 p. 37 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9781461459125Subject(s): Engineering | Matrix theory | Engineering mathematics | Engineering | Appl.Mathematics/Computational Methods of Engineering | Operations Research, Management Science | Linear and Multilinear Algebras, Matrix TheoryAdditional physical formats: Printed edition:: No titleDDC classification: 519 LOC classification: TA329-348TA640-643Online resources: Click here to access online
Elements of Newtonian Mechanics -- Solution of Systems of Linear Equations -- Linear Systems: Numerical Simulations -- Eigenvalue Problems -- Eigenvalue Problems: Numerical Simulations -- Linear Programming -- Quadratic Programming.
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.