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The N-matrix completion problem under digraphs assumptions

✍ Scribed by C Mendes Araújo; Juan R Torregrosa; Ana M Urbano


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
209 KB
Volume
380
Category
Article
ISSN
0024-3795

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An n × n matrix is called an N -matrix if all its principal minors are negative. In this paper, we are interested in the symmetric N -matrix completion problem, that is, when a partial symmetric N -matrix has a symmetric N -matrix completion. Here, we prove that a partial symmetric N -matrix has a s

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Necessary and sufficient conditions are given on the data for completability of a partial symmetric inverse M-matrix, the graph of whose specified entries is a cycle, and these conditions coincide with those we identify to be necessary in the general (nonsymmetric) case. Graphs for which all partial