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Combined matrices of sign regular matrices

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Bru García, R.; Gasso Matoses, MT.; Gimenez Manglano, MI.; Santana-De Asis, MDJ. (2016). Combined matrices of sign regular matrices. Linear Algebra and its Applications. 498:88-98. doi:10.1016/j.laa.2014.12.010

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Title: Combined matrices of sign regular matrices
UPV Unit: Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica
Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària
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The combined matrix of a nonsingular matrix A is the Hadamard (entry wise) product C(A) = A ◦ (A−1)T . Since each row and column sum of C(A) is equal to one, the combined matrix is doubly stochastic when it is nonnegative. ...[+]
Subjects: Sign regular matrix , Combined matrix , Hadamard product , Nonnegative matrix
Copyrigths: Reserva de todos los derechos
Linear Algebra and its Applications. (issn: 0024-3795 )
DOI: 10.1016/j.laa.2014.12.010
Publisher version: http://dx.doi.org/10.1016/j.laa.2014.12.010
Description: This is the author’s version of a work that was accepted for publication in Linear Algebra and its Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Linear Algebra and its Applications, VOL 498, (2016). DOI 10.1016/j.laa.2014.12.010.
Research supported by Spanish DGI grant number MTM2010-18674.
Type: Artículo

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