Question: Fast calculation of eigenvalues and eigenvectors

I use Maple 10 to calculate eigenvalues and eigenvectors:

# code to assign the non-zero elements of K and M

For n>1000 the calculation takes several minutes (on 2.4 GHz processor, 2 GB RAM). Maple calculates all eigenvalues, but I only need the ten smallest eigenvalues (and the corresponding eigenvectors). Is there a way to increase the speed of the calculation?




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