Title
Combined matrices of almost strictly sign regular matrices
Abstract
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.
Year
DOI
Venue
2019
10.1016/j.cam.2018.09.029
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
65F05,65F15,65F35
Matrix (mathematics),Mathematical analysis,Irreducibility,Pure mathematics,Mathematics
Journal
Volume
ISSN
Citations 
354
0377-0427
0
PageRank 
References 
Authors
0.34
1
3
Name
Order
Citations
PageRank
P. Alonso17012.86
J. M. Peña268172.88
María Luisa Serrano362.66