Returns the vectors of indirect influences and indirect dependences and the matrix of indirect influences according with the Heat Kernel method.
heatkernel(D,lambda) // Show the vector of indirect influences, always needs the parameters D and lambda. [T,d,f]=heatkernel(D,lambda) // Show the vector of indirect influences f, the vector of indirect dependences d and the matrix T of indirect influences.
Value of the parameter for the Heat Kernel method, look the bibliography.
Matrix of direct influences.
Name of the variable to store the indirect influences vector.
Name of the variable to store the indirect dependences vector.
Name of the variable to store the indirect influences matrix.
This function gives the vector of indirect influences and dependences and the matrix of indirect influences of a given matrix of direct influences according with the Heat Kernel method. If the matrix of direct influences has polynomial entries the function asks for a time parameter. For more info look the bibliography.
D = [1 0 1;0 0 0;0 0 6] // Define the matrix of direct influences. [T,d,f] = heatkernel(D,1) // Returns the matrix of indirect influences T, the vector of indirect dependences d and the vector of indirect influences f. [T,d,f] = heatkernel(D,0.5) // The same as above but with lambda equal to 0.5. 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] = heatkernel(D,1) // Apply the Heat Kernel method to the matrix D, the function ask for a time parameter. | ![]() | ![]() |
Indirect Influences, Rafael Díaz. preprint http://arxiv.org/abs/0906.1610v1
Cálculo de Influencias Indirectas en Scilab. Rafael Díaz, Jorge Catumba.