1. The Moore-Penrose inverses of lower triangular operators.
- Author
-
Li, Yuan
- Subjects
- *
PERTURBATION theory , *MATHEMATICAL analysis , *ABSTRACT algebra , *MULTILINEAR algebra , *APPROXIMATION theory , *FUNCTIONAL analysis , *MATHEMATICAL physics - Abstract
In this article, we give some necessary and sufficient conditions under which the Moore-Penrose inverse of a lower triangular operator has the lower and upper triangular forms, respectively. As a special case, we recover some theorems and corollaries of Chen et al. [Perturbation analysis of the generalized Bott-Duffin inverse of L-zero matrices, Linear Multilinear Algebra 51 (2003), pp. 11-20] and Deng and Chen [A note on the generalized Bott-Duffin inverse, Appl. Math. Lett., 20 (2007), pp. 746-750]. [ABSTRACT FROM AUTHOR]
- Published
- 2011
- Full Text
- View/download PDF