[gmx-users] subspaces / cov. matrices overlap

[Jose D Faraldo-Gomez]

> > g_anaeig_d -v $trr -v2 $trr2 -over -last 402 (for 134 C-alphas)
> >
> > and I always get that the 402 eigenvectors in $trr2 overlap completely 
>wiht
> > the 402 eienvetors in $trr (the overlap increases linearly), 
>independently
> > of the choice of these sets.
>
>yes, these coordinates span the same space! Usually we take -last 5 or 
>-last 10.
>This will produce a graph (overlap.xvg) that tells you how many vectors 
>from
>one set you need to (approximately) rebuild the 5 (or 10) dimensional 
>essential
>subspace of the other.
>

Thanks Bert, I see your point. However, I don't understand how/why the 
complete sets of eigenvectors in $trr and $trr2 necessarily span the same 
subspace... even though in my case they correspond to (a) ligand-free and a 
ligand-bound forms of a protein, and (b) different sampling windows - e.g. 
100ps vs 10ns. I guess that's why I was wondering whether this is related to 
any mathematical property of the eigenvectors...

Thanks,

Jose

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