Centered PSD matrices with thin spectrum are M-matrices

We show that real, symmetric, centered (zero row sum) positive semidefinite matrices of order n and rank n − 1 with eigenvalue ratio λ max / λ min ≤ n / ( n − 2 ) between the largest and smallest nonzero eigenvalue have nonpositive off-diagonal entries, and that this eigenvalue criterion is ti...

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Detalhes bibliográficos
Autor principal: Devriendt, K
Formato: Journal article
Idioma:English
Publicado em: University of Wyoming Libraries 2023