Open Access
2014 Nonnegative Combined Matrices
Rafael Bru, Maria T. Gassó, Isabel Giménez, Máximo Santana
J. Appl. Math. 2014(SI04): 1-5 (2014). DOI: 10.1155/2014/182354


The combined matrix of a nonsingular real matrix A is the Hadamard (entrywise) product AA-1T. It is well known that row (column) sums of combined matrices are constant and equal to one. Recently, some results on combined matrices of different classes of matrices have been done. In this work, we study some classes of matrices such that their combined matrices are nonnegative and obtain the relation with the sign pattern of A. In this case the combined matrix is doubly stochastic.


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Rafael Bru. Maria T. Gassó. Isabel Giménez. Máximo Santana. "Nonnegative Combined Matrices." J. Appl. Math. 2014 (SI04) 1 - 5, 2014.


Published: 2014
First available in Project Euclid: 1 October 2014

zbMATH: 1334.15083
MathSciNet: MR3198363
Digital Object Identifier: 10.1155/2014/182354

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI04 • 2014
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