Combined matrices of almost strictly sign regular matrices

Alonso, P. ; Peña, J.M. (Universidad de Zaragoza) ; Serrano, M.L.

Resumen: The combined matrix is a very useful concept for many applications. Almost strictly sign regular (ASSR) matrices form an important structured class of matrices with two possible zero patterns, which are either type-I staircase or type-II staircase. We prove that, under an irreducibility condition, the pattern of zero and nonzero entries of an ASSR matrix is preserved by the corresponding combined matrix. Without the irreducibility condition, it is proved that type-I and type-II staircases are still preserved. Illustrative numerical examples are included.

Idioma: Inglés

DOI: 10.1016/j.cam.2018.09.029

Año: 2018

Publicado en: Journal of Computational and Applied Mathematics 354 (2018), 144 - 151
ISSN: 0377-0427

Factor impacto JCR: 1.883 (2018)

Categ. JCR: MATHEMATICS, APPLIED rank: 47 / 254 = 0.185 (2018) - Q1 - T1

Factor impacto SCIMAGO: 0.849 - Computational Mathematics (Q2) - Applied Mathematics (Q2)

Financiación: info:eu-repo/grantAgreement/ES/MINECO-FEDER/MTM2015-65433-P
Financiación: info:eu-repo/grantAgreement/ES/MINECO-FEDER/MTM2017-90682-REDT
Financiación: info:eu-repo/grantAgreement/ES/MINECO-FEDER/TIN2017-87600-P

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)