I prefer this:
Hermitian: \bar{v} * w
Bilinear: v * w
over
Hermitian: v * w
Bilinear: ???
though tastes are different ;-)
On Wednesday, September 12, 2012 6:18:32 PM UTC+1, jason wrote:
>
> On 9/12/12 12:11 PM, Dima Pasechnik wrote:
> >
> >
> > On Thursday, 13 September 2012 01:04:54 UTC+8, jason wrote:
> >
> > I'm curious: is there a good reason why the product of two complex
> > vectors does not conjugate the first vector (which would yield the
> > standard inner product for complex vectors).
> >
> > Note:
> >
> > sage: v=vector(CDF,[2+I,5])
> > sage: v
> > (2.0 + 1.0*I, 5.0)
> > sage: v*v
> > 28.0 + 4.0*I
> > sage: v.column().H*v.column()
> > [30.0]
> >
> > I'd like the third computation to be 30.0.
> >
> > both products make sense, in different contexts. The 2nd one is usually
> > referred to as Hermitian one.
> >
>
> Is one of the definitions in much wider use than the other one? I'm
> coming from a linear algebra perspective, where the Hermitian inner
> product is very standard.
>
> Thanks,
>
> Jason
>
>
>
>
--
You received this message because you are subscribed to the Google Groups
"sage-devel" group.
To post to this group, send email to sage-devel@googlegroups.com.
To unsubscribe from this group, send email to
sage-devel+unsubscr...@googlegroups.com.
Visit this group at http://groups.google.com/group/sage-devel?hl=en.
