Newtonian Nonlinear Dynamics for Complex Linear and Optimization Problems

This book takes in some of the latest mathematical applications derived from Newtonian law. It explains the mechanical method for determining matrix singularity or non-independence of dimension and complexity, and includes new approaches to standard problems.

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.

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

Autorentext

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

Klappentext

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.

Inhalt

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