Bapat, R. B. (1999) Linear estimation in models based on a graph Linear Algebra and its Applications, 302-303 . pp. 223-230. 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(99)00093-2
Abstract
Two natural linear models associated with a graph are considered. The Gauss-Markov theorem is used in one of the models to derive a combinatorial formula for the Moore-Penrose inverse of the incidence matrix of a tree. An inequality involving the Moore-Penrose inverse of the Laplacian matrix of a graph and its distance matrix is obtained. The case of equality is discussed. Again the main tool used in the proof is the theory of linear estimation.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Linear Model; Moore-penrose Inverse; Tree; Incidence Matrix; Laplacian Matrix; Distance |
| ID Code: | 81583 |
| Deposited On: | 07 Feb 2012 05:10 |
| Last Modified: | 07 Feb 2012 05:10 |
Repository Staff Only: item control page
