invr
inverts a matrix of polynomials or of rationals
Syntax
F = invr(H)
Arguments
- H
polynomial or rational matrix
- F
polynomial or rational matrix
Description
invr computes H-1
using Leverrier's algorithm (see function's code).
Examples
s = %s; H = [s, s*s+2 ; 1-s, 1+s], iH = invr(H), H * iH [Num,den] = coffg(H); Num/den H = [1/s, (s+1) ; 1/(s+2), (s+3)/s]; invr(H)
--> H = [s, s*s+2 ; 1-s, 1+s], iH = invr(H), H * iH
H =
s 2 +s²
1 -s 1 +s
iH =
1 +s -2 -s²
---------- ----------
-2 +3s +s³ -2 +3s +s³
-1 +s s
---------- ----------
-2 +3s +s³ -2 +3s +s³
ans =
1 0
- -
1 1
0 1
- -
1 1
--> [Num,den] = coffg(H); Num/den
ans =
1 +s -2 -s²
---------- ----------
-2 +3s +s³ -2 +3s +s³
-1 +s s
---------- ----------
-2 +3s +s³ -2 +3s +s³
See also
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