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Student Support Forum: 'largest / smallest eigenvalues for matrices' topicStudent Support Forum > General > "largest / smallest eigenvalues for matrices"

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Mieke Gorissen
05/25/08 06:09am

Using the Eigenvalues[m,+k] / Eigenvalues[m,-k] command it is possible to compute the k largest / smallest eigenvalues of a matrix m. The Mathematica documentation states that the comparison is based on absolute value. How is this to be interpreted in the case of imaginary eigenvalues?
I'm working on a problem where I have to calculate only the eigenvalue with the largest real part of a very large, very sparse matrix, but in general the eigenvalues are imaginary and where Max[Re[Eigenvalues[m]]] works for smaller systems it makes Mathematica unresponsive for larger systems so I really want to limit the calculation to the one eigenvalue I need... Any input would be appreciated.

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