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## Re: what does 'mpoles' function do ? (what is 'poles' in it ?)

 From: Sergei Steshenko Subject: Re: what does 'mpoles' function do ? (what is 'poles' in it ?) Date: Sat, 25 Jun 2011 16:21:59 -0700 (PDT)

```
--- On Sat, 6/25/11, Ben Abbott <address@hidden> wrote:

> From: Ben Abbott <address@hidden>
> Subject: Re: what does 'mpoles' function do ? (what is 'poles' in it ?)
> To: "Sergei Steshenko" <address@hidden>
> Cc: address@hidden
> Date: Saturday, June 25, 2011, 3:55 PM
> On Jun 25, 2011, at 5:13 PM, Sergei
> Steshenko wrote:
>
> > Hello,
> >
> > 'mpoles' function
> > (http://octave.sourceforge.net/octave/function/mpoles.html)
> > can be found under "Finding Roots" - see
> > http://octave.sourceforge.net/octave/overview.html .
> >
> > So, because of the "Finding Roots" I _guess_ the
> function deals with _roots_.
> >
> > However, the description talks about poles.
> >
> > I studied math and calculus quite a time ago, so I
> could easily forget what
> > it's all about. AFAIR, if we have a
> >
> > numerator / denominator
> >
> > expression, and both numerator and denominator are
> polynomials, then
> > roots of numerator are called zeros and roots of
> denominator are called
> > poles. But both zeros and poles are related to the
> whole expression.
> >
> > But other than that I do not know what poles have to
> do with polynomials.
> >
> > Could anybody please clarify regarding 'mpoles' and
> poles it deals with ?
> >
> > Thanks,
> >  Sergei.
>
> You're inference is correct.
>
> mpoles() is used by the residue() function to identify a
> multiplicity of poles for A(z)/B(z).
>
> Ben
>
>
>

Thanks for the clarification.

Could you please modify the description in a manner that:

1) _roots_ are explicitly mentioned;
2) poles are mentioned as per your clarification

?

Thanks,
Sergei.

```

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