Scilab Function

rowshuff - shuffle algorithm

Calling Sequence

[Ws,Fs1]=rowshuff(Fs, [alfa])

Parameters

Description

Shuffle algorithm: Given the pencil Fs=s*E-A , returns Ws=W(s) (square polynomial matrix) such that:

Fs1 = s*E1-A1 = W(s)*(s*E-A) is a pencil with non singular E1 matrix.

This is possible iff the pencil Fs = s*E-A is regular (i.e. invertible). The degree of Ws is equal to the index of the pencil.

The poles at infinity of Fs are put to alfa and the zeros of Ws are at alfa.

Note that (s*E-A)^-1 = (s*E1-A1)^-1 * W(s) = (W(s)*(s*E-A))^-1 *W(s)

Examples

See Also

Author