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Re: Polynomial Toolbox

From: Riccardo Corradini
Subject: Re: Polynomial Toolbox
Date: Fri, 6 Apr 2007 08:49:05 +0200 (CEST)

Muthiah Annamalai <address@hidden> ha scritto:
On 4/5/07, Riccardo Corradini wrote:
> Hi all,
> I searched something similar for octave2.9.10 of
> Polynomial Toolbox, but unfortunately
> I didn't find anything.
> In particular I would like to use rmf2lmf routine.
> Is there something similar in gnu octave?
> Thanks a lot to all of you.
> Cheers
> Riccardo

Can you describe what your function does?
Maybe it exists in another form.


This is taken from OnLineManual.pdf at page 107

Left and right polynomial matrix fractions
                Given a left polynomial fraction Ql−1Pl there always exists a right fraction Pr Qr−1 so
                   Ql−1Pl = Pr Q r−1
                The polynomial matrices Pr and Qr are highly nonunique because if T is any
                square nonsingular polynomial matrix of the same size as Qr then
                   (Pr T )(Qr T )−1 = Pr Q r−1
                                                         Left and right polynomial matrix fractions
                                                     Polynomial matrix fractions and LTI systems
         The Polynomial Toolbox routine
             [Pr,Qr] = lmf2rmf(Pl,Ql)
         converts the left fraction Ql−1Pl to the right fraction Pr Qr−1 such that Pr and Qr are
         coprime. Similarly, the routine
             [Pl,Ql] = rmf2lmf(Pr,Qr)
         converts a (not necessarily coprime) right fraction to a coprime left fraction.
         Conversion of the left fraction Ql−1Pl of the previous example to the right fraction
         Pr Qr−1 results in
             [Rr,Qr] = lmf2rmf(Pl,Ql)
             Constant polynomial matrix: 1-by-1
             Rr =
             Constant polynomial matrix: 1-by-1
             Qr =
What do you think ? Is there an equivalent in  Octave 2.9.10+?

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