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Re: [Help-gsl] Maximum size of matrices

From: Analabha Roy
Subject: Re: [Help-gsl] Maximum size of matrices
Date: Fri, 27 Jan 2006 05:17:37 -0600

 Well. Assuming ur datatypes are "floats" then 128 bits per float (right?),
with 16000*3000 floats means abt 1 GIG of RAM
+ ull need space in RAM for temporary work areas for the diagonalization
process that's typically goes as N^2 or some such power law, so waaay too
much I think (my numerical analysis fundas are somewhat sketchy, but I think
if ur diagonalizing matrices using Householder-type Transformations+Jacobi
rotations then space requirements go as some power law of the matrix order)
But I think that most distributive teragrids can take the load (if that's
where ur doing it).

  If ur using "doubles" then out of the question in standard boxen.

On 1/26/06, Emmanuel Eckard <address@hidden> wrote:
> Greetings !
> Is there any known maximum size of matrices for the library to still be
> useful ? I am trying thinks with matrices of the order of magnitude of 16
> 000
> per 3000, and it fails to allocate the blocks. Is this dependant on the
> memory of the computer, or is this an intrinsic limitation of the library
> ?
> Thank you very much in advance.
> --
> Emmanuel Eckard
> Ingénieur Physicien de l'École Polytechnique de Lausanne
> Laboratoire d'Intelligence Artificielle, EPFL
> LIA/IC 1014 Ecublens, Suisse
> +41 21 693 66 97
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> Help-gsl mailing list
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