> "degenerate symmetric matrices".
For the purposes of EVD, symmetric matrices are perfect. They have orthogonal eigenvectors, and it eliminates at least one possible failure point for nonsymmetric EVD - inverse iteration part which finds eigenvectors. So, RMatrixEVD performs very well on these matrices.
However, I recommend you to use specialized symmetric EVD functions because they perform much, much faster. And they are more precise at handling clustered eigenvalues (multiple eigenvectors having same eigenvalue).
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