[SciPy-User] Eigenvectors of sparse symmetric matrix
Hao Xiong
hao@biostat.ucsf....
Sun Oct 24 20:42:14 CDT 2010
Hi everyone,
I am trying to compute the eigenvectors corresponding to the d+1 smallest
eigenvalues of A=W.T*W. I started with W as a dense matrix and then
W = sparse.csr_matrix(W)
A = W.dot(W) # W.T * W
W,V = eigen_symmetric(A,d+1, which='SM')
The biggest problem is that the algorithm fails to converge and I get
all zeros as eigenvectors for a testing dataset. Using dense SVD I
got the expected results.
The second problem is that this sparse version is much slower than
the dense version as
u,s,vh = svd(W)
The testing data only has 1000x1000, while I expect the real data
will have millions by millions of entries. Each row will have only
a dozen to at most dozes of non-zero entries.
Thanks,
Hao
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