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Inherited LU-factorizations of matrices
- Source :
-
Linear Algebra & its Applications . Nov2007, Vol. 427 Issue 1, p26-41. 16p. - Publication Year :
- 2007
-
Abstract
- Abstract: Various types of LU-factorizations for nonsingular matrices, where L is a lower triangular matrix and U is an upper triangular matrix, are defined and characterized. These types of LU-factorizations are extended to the general m × n case. The more general conditions are considered in the light of the structures of [C.R. Johnson, D.D. Olesky, P. Van den Driessche, Inherited matrix entries: LU factorizations, SIAM J. Matrix Anal. Appl. 10 (1989) 99–104]. Applications to graphs and adjacency matrices are investigated. Conditions for the product of a lower and an upper triangular matrix to be the zero matrix are also obtained. [Copyright &y& Elsevier]
- Subjects :
- *FACTORIZATION
*MATRICES (Mathematics)
*UNIVERSAL algebra
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 427
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 26578122
- Full Text :
- https://doi.org/10.1016/j.laa.2007.06.013