# [PYTHON MATRIX-SIG] Change eigenvectors to eigensystems?

**Alistair Mees
**
alistair@maths.uwa.edu.au

*Thu, 24 Oct 1996 08:17:58 +0800*

Doug Heisterkamp writes:
> > > A minor naming point -- since "eigenvectors" returns the eigenvalues as
> > > well, would it perhaps be less confusing to rename it to "eigensystem"?
> > >
> > > Alistair
> >
> > This sounds reasonable to me, but I thought I should ask for objections
> > from other users of LinearAlgebra.py before I go around changing naming
> > conventions again.
> >
>
> Is "eigensystem" a conventional term when referring to both eigenvalues
> and eigenvectors? If not, I would rather not coin a new word. Especially
> one that looks like it could have meaning in a specialized context. If so,
> I would not have a problem with using eigensystem.
>
> Note, Maple's eigenvects routine return's both eigenvalues and eigenvectors.
>
> Doug Heisterkamp
> drh@cse.unl.edu
"Eigensystem" is commonly used to mean the eigenvalues and eigenvectors of
a square matrix, or the eigenvalues and eigenfunctions of a linear
operator. The second version is an infinite dimensional generalization of the
first.
I notice that Mathematica uses Eigensystem in the way I proposed. I had a
quick look round on the web and didn't see any other usage. I'll try to
find a mathematical dictionary to make sure.
Alistair Mees
alistair@maths.uwa.edu.au
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