Hadamard functions of inverse M-matricese

Author	dc.contributor.author	Dellacherie Lefebvre, Claude	es_CL
Author	dc.contributor.author	Martínez Aguilera, Servet	es_CL
Author	dc.contributor.author	San Martín Aristegui, Jaime
Admission date	dc.date.accessioned	2014-01-02T14:52:29Z
Available date	dc.date.available	2014-01-02T14:52:29Z
Publication date	dc.date.issued	2009
Cita de ítem	dc.identifier.citation	SIAM J. MATRIX ANAL. APPL. 2009. Vol. 31, No. 2, pp. 289–315	en_US
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/125928
Abstract	dc.description.abstract	We prove that the class of generalized ultrametric matrices (GUM) is the largest class of bipotential matrices stable under Hadamard increasing functions. We also show that any power α ≥ 1, in the sense of Hadamard functions, of an inverse M-matrix is also inverse M-matrix. This was conjectured for α = 2 by Neumann in [Linear Algebra Appl., 285 (1998), pp. 277–290], and solved for integer α ≥ 1 by Chen in [Linear Algebra Appl., 381 (2004), pp. 53–60]. We study the class of filtered matrices, which include naturally the GUM matrices, and present some sufficient conditions for a filtered matrix to be a bipotential.	en_US
Lenguage	dc.language.iso	en_US	en_US
Type of license	dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Chile	*
Link to License	dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/cl/	*
Keywords	dc.subject	M-matrices	en_US
Título	dc.title	Hadamard functions of inverse M-matricese	en_US
Document type	dc.type	Artículo de revista

Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile