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Re: Mathematica, ARPACK and implicit matrices
Fernando, I had the same problem a while back (my matrices are 2^30 x 2^30). The only thing I found to do was to actually translate my code into a C program which calls ARPACK directly. This is actually not very hard, the documentation is good. You could then write a C procedure which calculates the largest eigenvalues (maybe dependent on some parameters), which you can call from Mathematica through MathLink. Effectively this will be exactly the Mathematica extension you seem to need. Roman.