Ebook: Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems
- Tags: Appl.Mathematics/Computational Methods of Engineering, Operations Research Management Science, Linear and Multilinear Algebras Matrix Theory
- Series: Nonlinear Systems and Complexity 4
- Year: 2013
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-xii
Elements of Newtonian Mechanics....Pages 1-13
Solution of Systems of Linear Equations....Pages 15-28
Solution of Systems of Linear Equations: Numerical Simulations....Pages 29-41
Eigenvalue Problems....Pages 43-65
Eigenvalue Problems: Numerical Simulations....Pages 67-98
Linear Programming....Pages 99-115
Quadratic Programming....Pages 117-133
Back Matter....Pages 135-138
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.
Content:
Front Matter....Pages i-xii
Elements of Newtonian Mechanics....Pages 1-13
Solution of Systems of Linear Equations....Pages 15-28
Solution of Systems of Linear Equations: Numerical Simulations....Pages 29-41
Eigenvalue Problems....Pages 43-65
Eigenvalue Problems: Numerical Simulations....Pages 67-98
Linear Programming....Pages 99-115
Quadratic Programming....Pages 117-133
Back Matter....Pages 135-138
....