Indirect Influences for Graphs >> Indirect Influences for Graphs > InvpwpIndInf

InvpwpIndInf

Returns the vectors of direct influences and direct dependences and the matrix of direct influences according with the inverse of the PWP method.

Calling Sequence

[T,d,f] = InvpwpIndInf(D,lambda)
[T,d,f] = InvpwpIndInf(D,lambda,time)

Parameters

time:: Value for the time parameter desired in case of polynomial matrix. Is mandatory in such case.
lambda:: Value of the parameter for the PWP method, look the bibliography.
D:: Matrix of direct influences.
f:: Name of the variable to store the indirect influences vector.
d:: Name of the variable to store the indirect dependences vector.
T:: Name of the variable to store the indirect influences matrix.

Description

This function gives the vector of direct influences and dependences and the matrix of direct influences of a given matrix of indirect influences according with the PWP method. If the matrix of indirect influences has polynomial entries the function needs the time parameter. For more info look the bibliography.

Examples

D = [1 0 1;0 0 0;0 0 6] // Define the matrix of direct influences.
[T,d,f] = InvpwpIndInf(D,1)
D = sparse([1,2;2,3;3,1;4,1],[1,2,4,1],[4,4]) // Define a sparse matrix
[T,d,f] = InvpwpIndInf(D,1)
t = poly(0,'t')  // Define the variable t.
D = [t 1-t;t^2 1] // Define a 2x2 matrix with polynomial entries.
[T,d,f] = InvpwpIndInf(D,1,0) // Apply the InvpwpIndInf method to matrix D with time 0.
[T,d,f] = InvpwpIndInf(D,1,1) // Apply the InvpwpIndInf method to matrix D with time 1.