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
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