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Topic: Question about eigenvectors
Replies: 2   Last Post: Jun 5, 2012 1:46 AM

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Lorenzo Lodi

Posts: 1
Registered: 6/4/12
Question about eigenvectors
Posted: Jun 4, 2012 3:32 PM
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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.


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