Inherited LU-factorizations of matrices |
| |
Authors: | Marina Arav Jean Bevis |
| |
Institution: | Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30303, USA |
| |
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. |
| |
Keywords: | 15A23 15A24 15A33 05C50 |
本文献已被 ScienceDirect 等数据库收录! |
|