TY - BOOK AU - Vázquez,Luis AU - Jiménez,Salvador ED - SpringerLink (Online service) TI - Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems T2 - Nonlinear Systems and Complexity SN - 9781461459125 AV - TA329-348 U1 - 519 23 PY - 2013/// CY - New York, NY PB - Springer New York, Imprint: Springer KW - Engineering KW - Matrix theory KW - Engineering mathematics KW - Appl.Mathematics/Computational Methods of Engineering KW - Operations Research, Management Science KW - Linear and Multilinear Algebras, Matrix Theory N1 - Elements of Newtonian Mechanics -- Solution of Systems of Linear Equations -- Linear Systems: Numerical Simulations -- Eigenvalue Problems -- Eigenvalue Problems: Numerical Simulations -- Linear Programming -- Quadratic Programming N2 - 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.       UR - http://dx.doi.org/10.1007/978-1-4614-5912-5 ER -