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Question about eigenvectors
Posted:
Jun 4, 2012 3:32 PM


This might be a silly question, but I want to ask anyway. Consider the eigenvalue problem A.x=a.x, where A is a real symmetric matrix, and suppose we are interested in finding the lowest eigenvalue and eigenvectors. My question is this: is there a computationally efficient method to obtain selected components of the eigenvectors x without having to compute the whole x? For example, supposing we know x(1)!=0 we can fix the normalization of x by x(1)=1; then I would like to obtain, say, x(2).
As far as I know such a method is not available.
Lorenzo



