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I have a problem that I need some help with, I am looking for a direct eigenvalue solver algorithm.

The problem is that all the eigenvalue solvers I can find seems to reorder the final matrix after the size of the eigenvalues.

The matrix it shall calculate is very small (5-10), so speed should not be an issue.

I am writing this in Fortran, and have the lapack library available, but thus far I have found no routine in it which can do what I need.

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# Direct Eigenvalue solver, which retains the the order of eigenvectors

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