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Bounds for the 1-norm of the inverses of some triangular matrices.
- Source :
-
Linear Algebra & its Applications . Apr2016, Vol. 495, p163-173. 11p. - Publication Year :
- 2016
-
Abstract
- In this paper, we find bounds for the 1-norm of the inverses of triangular matrices whose columns may decrease to zero. These results complement those obtained by Berenhaut et al. in [1] where the columns cannot decrease to zero. Also, we extend the 1-norm estimates obtained for Toeplitz matrices, by Liu et al. in [5] , to a non-Toeplitz class. Finally, we construct a class of matrices where the estimates obtained are the best. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 495
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 113256792
- Full Text :
- https://doi.org/10.1016/j.laa.2016.01.028