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 W_{sk} be the (v_{s}) × (v_{s}) 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 W_{sk} over the reals is obtained. A necessary and sufficient condition for W_{sk} 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