Back to Search
Start Over
A note on generalized G-matrices
- Source :
-
Linear Algebra & its Applications . May2012, Vol. 436 Issue 9, p3475-3479. 5p. - Publication Year :
- 2012
-
Abstract
- Abstract: In this paper, we slightly generalize the notion of G-matrices, which has been recently introduced. A real nonsingular matrix A is called a G-matrix if there exist nonsingular diagonal matrices and such that . We generalize this definition to the case where A can be singular. We say that a real matrix A, which is not necessarily square, is a generalized G-matrix (GG-matrix) if there exist nonsingular diagonal matrices and such that is a g-inverse of A. The main purpose of this paper is to show that any generalized Cauchy matrix is a GG-matrix. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 436
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 73529548
- Full Text :
- https://doi.org/10.1016/j.laa.2011.12.011