Eigenvector extraction

Hi all,

I am trying to extract the eigenvectors corresponding to the k smallest
magnitude eigenvalues of a large and sparse matrix (~ 50000x50000) for some
k. Currently I am using the eigs() function in MATLAB which in turn calls
ARPACK routines. However, since memory can hold only a limited number of
eigenvectors simultaneously, I am not able to increase k beyond a certain
value.

Anyone encountereed this problem before? Is there a solution to this
problem?

Specifically, I am thinking if something like the following is possible.
First I extract the first k/2 eigenvectors and save them to the disk, and
then, using some mathematical/algorithmic techniques, extract the rest of
the eigenvectors. Does anyone know if this can be done?

-Fijoy



.

Relevant Pages

  • Re: MuPad 3.0 extraction of individual eigenvectors
    ... >> I now want to extract the eigenvectors from S ... >> use of that output as input to another command. ... > not only for there for sending bug reports, ...
    (sci.math.symbolic)
  • Re: MuPad 3.0 extraction of individual eigenvectors
    ... > I now want to extract the eigenvectors from S ... Use map with op to extract the 3rd operands of the resulting ... Our bug tracking system is ... us to improve MuPAD by providing suggestions for improvements. ...
    (sci.math.symbolic)
  • Re: Eigenvector extraction
    ... > I am trying to extract the eigenvectors corresponding to the k smallest ... > eigenvectors simultaneously, I am not able to increase k beyond a certain ... the largest eignvalues and there corresponding eignvectors. ... that probably won't work is to invert the matrix and then find the ...
    (comp.soft-sys.matlab)
  • Re: Eigenvector extraction
    ... >I am trying to extract the eigenvectors corresponding to the k smallest ... >eigenvectors simultaneously, I am not able to increase k beyond a certain ... (the same problem oocurs with the simultaneous vectoriteration, ...
    (sci.math.num-analysis)
  • Eigenvector extraction
    ... I am trying to extract the eigenvectors corresponding to the k smallest ... magnitude eigenvalues of a large and sparse matrix for some ... First I extract the first k/2 eigenvectors and save them to the disk, ...
    (sci.math)