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

• Autorzy: Raphael Loewy
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Nonnegative matrix; Irreducible matrix; Diagonal of a matrix

Kategorie tematyczne

• 15B48: Positive matrices and their generalizations; cones of matrices

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 1
• Strony: 303-311

Daty

wydano

2012-02-01

online

2011-12-09

Twórcy

autor

Raphael Loewy

• Technion — Israel Institute of Technology

Bibliografia

• [1] Borobia A., Moro J., On nonnegative matrices similar to positive matrices, Linear Algebra Appl., 1997, 266, 365–379 http://dx.doi.org/10.1016/S0024-3795(97)00362-5
• [2] Brualdi R.A., Ryser H.J., Combinatorial Matrix Theory, Encyclopedia Math. Appl., 39, Cambridge University Press, Cambridge, 1991
• [3] Laffey T.J., Extreme nonnegative matrices, Linear Algebra Appl., 1998, 275–276, 349–357 http://dx.doi.org/10.1016/S0024-3795(97)10059-3
• [4] Laffey T.J., Loewy R., Šmigoc H., Nonnegative matrices that are similar to positive matrices, SIAM J. Matrix Anal. Appl., 2009, 31(2), 629–649 http://dx.doi.org/10.1137/070692807

Identyfikatory

DOI

10.2478/s11533-011-0108-x