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Re: Documentation of Eigenvalues[], Eigensystem[]

  • To: mathgroup at smc.vnet.net
  • Subject: [mg114069] Re: Documentation of Eigenvalues[], Eigensystem[]
  • From: Oliver Ruebenkoenig <ruebenko at wolfram.com>
  • Date: Mon, 22 Nov 2010 07:40:13 -0500 (EST)

On Sat, 20 Nov 2010, Michael Weyrauch wrote:

> Hello
>
>    it appears that the documentation of some "classic" functions
> like Eigenvalues[] and Eigensystem[] is rather incomplete in
> Mathematica 8 (and 7 and 6). Under the Options section one only finds
> the options Cubics and Quartics.
>
> In one example given in "Possible issues" section
> one realizes that there is also a "Method" option with rather obscurely
> defined suboptions like "Shift". From the Mathematica 5.2 docs
> (suposedly outdated) I also know that e.g. the following works (and
> still works in 8)
>
> Eigenvalues[matrix, 2, Method->{"Arnoldi", StartingVector-> vector}]
>
> and it is indeed sometimes very time efficient to be able to give
> a starting vector to the Arnoldi iteration procedure. Unfortunately all
> these possibilities are not documented in more recent
> versions of Mathematica, which I find very odd given that e.g. rather
> extremely special functions like NVCCCompiler[] are documented with an
> extensive list of even the most outlandish options (I guess).
>
> Does anybody know of a comprehensive list of "Options" available
> for some "classic" functions like Eigenvalues etc.? (For the Frontend we
> even have an "Options inspector". Maybe there is also one for other
> functions??)
>
> Michael Weyrauch
>
>

Hello Michael,

yes, the situation could be better. Here is some documentation

tutorial/LinearAlgebraMatrixComputations

I hope this helps,
Oliver


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