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Math Help - How to find eigenvelues and eigenvectors of singularmatrix

  1. #1
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    How to find eigenvelues and eigenvectors of singularmatrix

    Hi,

    I need to find the eigenvectors and eigenvalues of singularmatrix. I used svd for finding eigenfunctions. Does any other method is available for finding eigenvalues and vectors of singularmatrix? Please suggest me which is the best method to do?

    Thanks
    sravan
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  2. #2
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    Well, one is easy- if the matrix is singular, then 0 is an eigenvalue! Determine the eigenvectors corresponding to eigenvalue 0 and you should be able to reduce to a smaller matrix with only non-zero eigenvalues.
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  3. #3
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    Hi HallsofIvy,

    Thanks for your suggestion. Actually I have a matrix with 100x100 dimensions and my algorithm demands me to find eigenvalues and eigenvectors. I understood that some eigenvalues should be '0' for singular matrix and here in my case i can neglect eigenvector which are corresponding to eigenvalue '0'. So, here i need to calculate remaining non zero eigenvalues and its corresponding eigenvectors. I used svd but i am not getting proper results by using this method and that is the reason for seeking help to solve this problem.

    Thanks
    sravan
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