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Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems de Luis Vázquez

Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems: Nonlinear Systems and Complexity, cartea 4

Autor Luis Vázquez, Salvador Jimenez
en Limba Engleză Hardback – 27 noi 2012
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.
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Specificații

ISBN-13: 9781461459118
ISBN-10: 1461459117
Pagini: 152
Ilustrații: XII, 140 p.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.41 kg
Ediția:2013
Editura: Springer
Colecția Springer
Seria Nonlinear Systems and Complexity

Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

Elements of Newtonian Mechanics.- Solution of Systems of Linear Equations.- Linear Systems: Numerical Simulations.- Eigenvalue Problems.- Eigenvalue Problems: Numerical Simulations.- Linear Programming.- Quadratic Programming.

Recenzii

From the reviews:
“The framework of the monograph is the construction of algorithms for linear and nonlinear optimization problems by applying numerical algorithms used to simulate the equation of motion for Newtonian particles. … The monograph is intended for a broad public, for undergraduate and graduate students and for researchers. … There are illustrative examples in two or three variables at the end of each chapter. Several figures help the reader to understand the methods.” (Werner H. Schmidt, Zentralblatt MATH, Vol. 1264, 2013)

Notă biografică

Luis Vazquez, Universidad Complutense de Madrid, lvazquez@fdi.ucm.es
Salvador Jimenez, Universidad Politecnica de Madrid, s.jimenez@upm.es

Textul de pe ultima copertă

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.
 
   

Caracteristici

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 Includes supplementary material: sn.pub/extras