Bapat, R. B. (2000) Moore-Penrose inverse of set inclusion matrices Linear Algebra and its Applications, 318 (1-3). pp. 35-44. ISSN 0024-3795
Full text not available from this repository.
Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/S0024-3795(00)00123-3
Abstract
Given integers s,k and v, let Wsk be the (vs) × (vs) 0-1 matrix, the rows and the columns of which are indexed by the s-subsets and the k-subsets of a v-set respectively, and where the entry in row S and column U is 1 if S⊂U and 0 otherwise. A formula for the Moore-Penrose inverse of Wsk over the reals is obtained. A necessary and sufficient condition for Wsk to admit a Moore-Penrose inverse over the set of integers modulo a prime p is given, together with a formula for the Moore-Penrose inverse when it exists.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Set Inclusion Matrix; Moore-Penrose Inverse; Incidence Matrix; Finite Field |
| ID Code: | 78327 |
| Deposited On: | 19 Jan 2012 06:32 |
| Last Modified: | 19 Jan 2012 06:32 |
Repository Staff Only: item control page
