Geodesic
A Remark on a Result of Marvin Marcus
Canadian mathematical bulletin, Tome 6 (1963) no. 1, pp. 11-13

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Marcus [2] has proved the following theorem.Suppose A is a non-negative normal matrix satisfying p(A) = 0 in which p(λ) is a monic polynomial no two of whose non-zero roots have the same modulus. Then there exists a permutation matrix P such that PAP* is a direct sum, PAP* = A1 ⊕ A2 ⊕ ... ⊕ Am, in which each Ai is either O or primitive.This note gives a generalisation of this result, dropping the non-negative assumption and weakening the normality assumption. 
Mendelsohn, N.S. A Remark on a Result of Marvin Marcus. Canadian mathematical bulletin, Tome 6 (1963) no. 1, pp. 11-13. doi: 10.4153/CMB-1963-003-2
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