Abstract
In 1954 A.J. Hoffman and O. Taussky [1] showed that if A is an n-square complex matrix with eigenvalues λ = (λ1, …, λn ) and P is a permutation matrix for which αA + βA* has eigenvalues for some αβ ≠ 0 then A is normal. Here is the conjugate vector of λ. As a companion result they also proved that if the eigenvalues of AA* are , i = 1, …, n then A is normal.
Publisher
Canadian Mathematical Society
Cited by
2 articles.
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1. A biography of Marvin Marcus;Linear Algebra and its Applications;1994-04
2. The l property for singular values;Linear Algebra and its Applications;1970-04