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E-book
Author Vázquez, Luis

Title Newtonian nonlinear dynamics for complex linear and optimization problems / Luis Vázquez, Salvador Jiménez
Published New York, NY : Springer, ©2013

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Description 1 online resource
Series Nonlinear systems and complexity ; v. 4
Nonlinear systems and complexity ; v. 4.
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
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. 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 applicationsNewtonian 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
Analysis Engineering
Matrix theory
Engineering mathematics
Appl. Mathematics/Computational Methods of Engineering
Operations Research, Management Science
Linear and Multilinear Algebras, Matrix Theory
Bibliography Includes bibliographical references and index
Subject Nonlinear mechanics.
Mathematical optimization.
System theory.
SCIENCE -- Mechanics -- General.
SCIENCE -- Mechanics -- Solids.
Ingénierie.
Mathematical optimization
Nonlinear mechanics
System theory
Form Electronic book
Author Jiménez, Salvador
ISBN 9781461459125
1461459125
1461459117
9781461459118