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 (suposedly outdated) I also know that e.g. the following works (and 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