Artículo

Improved bounds for the inverses of diagonally dominant tridiagonal matrices

Dratman, EzequielIcon ; Matera, GuillermoIcon
Fecha de publicación: 08/2018
Editorial: Elsevier Science Inc
Revista: Linear Algebra and its Applications
ISSN: 0024-3795
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

We obtain new bounds for the entries of the inverse of a diagonally-dominant tridiagonal matrix which improve the best previous ones, due to H.-B. Li et al. We apply our bounds to the tridiagonal matrices arising in the second-order finite-difference discretization of certain boundary-value problems of parabolic type, establishing asymptotically optimal bounds.
Palabras clave: BOUNDS , DIAGONALLY-DOMINANT MATRIX , INVERSES , REAL TRIDIAGONAL MATRIX , SECOND-ORDER FINITE-DIFFERENCE DISCRETIZATION , SIGN DISTRIBUTION
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/93733
URL: https://www.sciencedirect.com/science/article/pii/S0024379518301307
DOI: http://dx.doi.org/10.1016/j.laa.2018.03.020
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Citación
Dratman, Ezequiel; Matera, Guillermo; Improved bounds for the inverses of diagonally dominant tridiagonal matrices; Elsevier Science Inc; Linear Algebra and its Applications; 551; 8-2018; 57-82
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