The statements of the corollaries of the Bauer-Fike theorem are “nonsymmetric” with respect to A and A + F: the matrix A + F, in contrast to A, can be nondiagonalizable or have different orders of Jordan blocks. We might be interested in “symmetric” theorems, which estimate some distance between the spectra of matrices.
KeywordsHermitian Matrix Permutational Matrix Jordan Block Stochastic Matrix Permutational Matrice
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