A class of M-matrices whose graphs are trees

作者:Martinez, S; San Martin, J; Zhang, XD*
来源:Linear and Multilinear Algebra, 2004, 52(5): 303-319.
DOI:10.1080/03081080410001667816

摘要

In this article, we characterize generalized ultrametric matrices whose inverses are tree-diagonal. This generalizes the results of McDonald, Nabben, Neumann, Schneider and Tsatsomeros for tri-diagonal matrices.