On 7/14/2011 9:09 AM, Barton Willis wrote:
> -----maxima-bounces at math.utexas.edu wrote: -----
>
>> Among the things you find in SARAG:
>> subresultant, Bernstein polynomials,
> I didn't grep for bernstein before I wrote my (modest) bernstein package,
> but maybe I'll go ahead an commit my share/contrib code as is. My package
> uses bernstein_poly you used bernstein, so maybe the two packages can
> co-exist.
>
> Also for numerical evaluation, my code might have an advantage with complex arguments:
>
> (%i9) bernstein(5,3,0,1, 1/2+%i);
> (%o9) 10*(1/2-%i)^2*(%i+1/2)^3
>
> (%i10) rectform(%);
> (%o10) (125*%i)/8+125/16
>
> (%i11) bernstein_poly(3,5,1/2+%i);
> (%o11) (125*%i)/8+125/16
>
> Notice the reversed order for the first two arguments. This is unfortunate. Is there
> a standard?
>
> Barton
>
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I was going to suggest NIST's DLMF e.g.
http://dlmf.nist.gov/18.31
for standardization. But maybe this is no help since it only seems to
have one subscript there.
I hate to quote wikipedia as an authority, but there is it..
http://en.wikipedia.org/wiki/Bernstein_polynomial