Name

polylogm — Returns the logarithm matrix for a polynomial matrix.

Calling Sequence

   polylogm(D) // Show the the logarithm matrix of the polynomial matrix D.
   E=polylogm(D) // Store the logarithm matrix of the polynomial matrix D in the E variable.
   
   

Parameters

D:

Polynomial matrix to calculate its logarithm.

E:

Name of the variable to store the logarithm matrix of a given polynomial matrix.

Description

This function calulates the logarithm matrix of a polynomial matrix using the analytic definition of the logarithm function of a matrix. Use with careful. This function is under development.

Examples

t=poly(0,'t')  // Define the variable t.
D = [t 1-t;t^2 1] // Define a 2x2 matrix with polynomial entries.
E = polylogm(D) // Calculates the logarithm matrix of the polynomial matrix D.

   

See also

pwpIndInf, heatkernel

Authors

Jorge Catumba

Bibliography

Indirect Influences, Rafael Díaz. preprint http://arxiv.org/abs/0906.1610v1

Cálculo de Influencias Indirectas en Scilab. Rafael Díaz, Jorge Catumba.