IJPAM: Volume 31, No. 3 (2006)

A NOTE ON THE INVERSION OF ACYCLIC MATRICES

Carlos Martins da Fonseca
Department of Mathematics
University of Coimbra
Coimbra, 3001-454, PORTUGAL
e-mail: cmf@mat.uc.pt


Abstract.Our goal is to generalize some well known results on the inversion of nonsingular tridiagonal matrices to matrices whose graph is a given tree, bringing the results together in one place. A numerical example and a statistical application are given.

Received: July 18, 2006

AMS Subject Classification: 65F05, 15A09

Key Words and Phrases: matrix inversion, tridiagonal matrix, graph, digraph, tree

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 31
Issue: 3