A note on completing quasi-distance and distance matrices

We give a necessary and sufficient condition for the existence of a quasi-distance matrix where some positive off-diagonal entries have been prescribed. Moreover, we give an algorithm for obtaining such a matrix. We analyze also the case where distances instead of quasi-distances are considered.

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Bibliographic Details
Published in	Special matrices Vol. 7; no. 1; pp. 226 - 229
Main Authors	Zhang, Yulin, Costa, A. Veloso da, Simões-Pereira, J. M. S.
Format	Journal Article
Language	English
Published	Sciendo 01.01.2019 De Gruyter
Subjects	15A83 15B99 Completing a matrix Distance matrix Quasi-distance matrix
Online Access	Get full text

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Summary:	We give a necessary and sufficient condition for the existence of a quasi-distance matrix where some positive off-diagonal entries have been prescribed. Moreover, we give an algorithm for obtaining such a matrix. We analyze also the case where distances instead of quasi-distances are considered.
ISSN:	2300-7451 2300-7451
DOI:	10.1515/spma-2019-0016