1. A note on ultrametric matrices
- Creator:
- Zhang, Xiao-Dong
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- generalized ultrametric matrix, $ \mathcal U$ matrix, weighted graph, and inverse $M$-matrix
- Language:
- English
- Description:
- It is proved in this paper that special generalized ultrametric and special $\mathcal U$ matrices are, in a sense, extremal matrices in the boundary of the set of generalized ultrametric and $ \mathcal U$ matrices, respectively. Moreover, we present a new class of inverse $M$-matrices which generalizes the class of $\mathcal U$ matrices.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public