On the derivatives of the Perron vector

Deutsch, Emeric; Neumann, Michael

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Displaying similar documents to “On the derivatives of the Perron vector”

On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector

Ludwig F. Elsner, Christopher R. Johnson, M. Neumann (1982)

Czechoslovak Mathematical Journal

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An additive inverse characteristic polynomial theorem

Silva, Fernando C. (1990)

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On a nonnegative irreducible matrix that is similar to a positive matrix

Raphael Loewy (2012)

Open Mathematics

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Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.