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EigenSystem fails to converge


Dear Mathematica professionals,

I have a system which I am trying to find its N lowest eigenvalues and
vectors using the function:
[l,u] = EigenSystem[{K,M},-N];
K and M are quite large matrices in the order of 1000*1000, and whose
entries are complex numbers.
The Eigensystem function works fine most of the time. However, sometimes it
gives me the following error for no reason that I know:
Eigensystem::cfail : Algorithm failed to converge.

Are there any options/methods for Eigensystem that I can choose and which
will allow the convergence?

Kind regards,

-- 
Adel Elsabbagh
http://www.svlab-asu.com/aelsabbagh.html



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