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

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Central European Journal of Mathematics

Abstract

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.

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References

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Correspondence to Raphael Loewy.

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Loewy, R. On a nonnegative irreducible matrix that is similar to a positive matrix. centr.eur.j.math. 10, 303–311 (2012). https://doi.org/10.2478/s11533-011-0108-x

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  • DOI: https://doi.org/10.2478/s11533-011-0108-x

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