A note on ultrametric matrices
Czechoslovak Mathematical Journal (2004)
- Volume: 54, Issue: 4, page 929-940
- ISSN: 0011-4642
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topZhang, Xiao-Dong. "A note on ultrametric matrices." Czechoslovak Mathematical Journal 54.4 (2004): 929-940. <http://eudml.org/doc/30911>.
@article{Zhang2004,
abstract = {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.},
author = {Zhang, Xiao-Dong},
journal = {Czechoslovak Mathematical Journal},
keywords = {generalized ultrametric matrix; $ \mathcal \{U\}$ matrix; weighted graph; inverse $M$-matrix; generalized ultrametric matrix; matrix; weighted graph; inverse -matrix},
language = {eng},
number = {4},
pages = {929-940},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on ultrametric matrices},
url = {http://eudml.org/doc/30911},
volume = {54},
year = {2004},
}
TY - JOUR
AU - Zhang, Xiao-Dong
TI - A note on ultrametric matrices
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 4
SP - 929
EP - 940
AB - 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.
LA - eng
KW - generalized ultrametric matrix; $ \mathcal {U}$ matrix; weighted graph; inverse $M$-matrix; generalized ultrametric matrix; matrix; weighted graph; inverse -matrix
UR - http://eudml.org/doc/30911
ER -
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