In fact, I'm not sure the term "Bezout coefficients" is standard, but
you can find it on Wikipedia.
http://en.wikipedia.org/wiki/B%C3%A9zout%27s_identity
They also call these "Bezout numbers", since they're linked to the
Bezout identity.
Alex

On 25 mai, 16:44, Robert Bradshaw <rober...@math.washington.edu>
wrote:
> On May 25, 2010, at 1:42 PM, ablondin wrote:
>
> > Thanks !
> > I would never have guessed the name !
> > Alex
>
> And I had never heard of the term "Bezout coefficients" :). The is an  
> abbreviation for "extended gcd."
>
> > On 25 mai, 16:28, Tim Daly <d...@axiom-developer.org> wrote:
> >> Is anyone else getting duplicate copies of Sage messages? -- Tim
>
> >> Mike Hansen wrote:
> >>> Hello,
>
> >>>> I've been looking for a function that allows one to compute Bezout
> >>>> coefficients of two numbers (say natural numbers). There is the GCD
> >>>> function, but I haven't found anything about Bezout coefficients.  
> >>>> This
> >>>> is not complicated to write one, but it would be better if it was
> >>>> included somehwere in Sage. Is there already something like that ?
>
> >>> You should use xgcd:
>
> >>> sage: xgcd(5, 7)
> >>> (1, 3, -2)
> >>> sage: g,a,b = xgcd(5, 7)
> >>> sage: a*5 + b*7
> >>> 1
>
> >>> --Mike
>
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