Scilab 5.3.3
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Please note that the recommended version of Scilab is 2025.0.0. This page might be outdated.
See the recommended documentation of this function
glever
inverse of matrix pencil
Calling Sequence
[Bfs,Bis,chis]=glever(E,A [,s])
Arguments
- E, A
two real square matrices of same dimensions
- s
character string (default value '
s
')- Bfs,Bis
two polynomial matrices
- chis
polynomial
Description
Computation of
(s*E-A)^-1
by generalized Leverrier's algorithm for a matrix pencil.
(s*E-A)^-1 = (Bfs/chis) - Bis.
chis
= characteristic polynomial (up to a multiplicative constant).
Bfs
= numerator polynomial matrix.
Bis
= polynomial matrix ( - expansion of (s*E-A)^-1
at infinity).
Note the - sign before Bis
.
Caution
This function uses cleanp
to simplify Bfs,Bis
and chis
.
Examples
s=%s;F=[-1,s,0,0;0,-1,0,0;0,0,s-2,0;0,0,0,s-1]; [Bfs,Bis,chis]=glever(F) inv(F)-((Bfs/chis) - Bis)
See Also
Authors
F. D. (1988)
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