Iterative functional equation x(x(t))=f(t) with f(t) piecewise linear

Iterative methods for solving non linear Fokker-Planck equation

An Iterative-decomposed Piecewise-linear Representation

In this paper a new model description for the representation of one-dimensional piecewise-linear (PWL) characteristics is presented. The description can be efficiently applied to model both, uni-valued and multivalued PWL characteristics, and it has the advantage of obtaining the model parameters directly from the graphic coordinates. The description is denoted as an Iterative and Decomposed (I...

Iterative Solution of Piecewise Linear Systems

Abstract. The correct formulation of numerical models for free-surface hydrodynamics often requires the solution of special linear systems whose coefficient matrix is a piecewise constant function of the solution itself. In so doing one may prevent the development of unrealistic negative water depths. The resulting piecewise linear systems are equivalent to particular linear complementarity pro...

Iterative solutions to the linear matrix equation

In this paper the gradient based iterative algorithm is presented to solve the linear matrix equation AXB +CXD = E, where X is unknown matrix, A,B,C,D,E are the given constant matrices. It is proved that if the equation has a solution, then the unique minimum norm solution can be obtained by choosing a special kind of initial matrices. Two numerical examples show that the introduced iterative a...

network optimization with piecewise linear convex costs

the problem of finding the minimum cost multi-commodity flow in an undirected and completenetwork is studied when the link costs are piecewise linear and convex. the arc-path model and overflowmodel are presented to formulate the problem. the results suggest that the new overflow model outperformsthe classical arc-path model for this problem. the classical revised simplex, frank and wolf and a ...