Description
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. Luis Vazquez, Universidad Complutense de Madrid, lvazquez@fdi.ucm.es Salvador Jimenez, Universidad Politecnica de Madrid, s.jimenez@upm.es Elements of Newtonian Mechanics.- Solution of Systems of Linear Equations.- Linear Systems: Numerical Simulations.- Eigenvalue Problems.- Eigenvalue Problems: Numerical Simulations.- Linear Programming.- Quadratic Programming.
