Height characteristic on block triangular matrices

It is shown that the height characteristic of a block triangular matrix A with square diagonal blocks majorizes the dual of the sequence of differences of maximal cardinalities of singular k-paths in a certain graph, which is determined by the height characteristic of the diagonal blocks and the red...

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Bibliographic Details
Main Authors: Velasco, Dexter A., Loa, Raymond F.
Format: text
Language:English
Published: Animo Repository 1998
Subjects:
Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/16511
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Institution: De La Salle University
Language: English
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Summary:It is shown that the height characteristic of a block triangular matrix A with square diagonal blocks majorizes the dual of the sequence of differences of maximal cardinalities of singular k-paths in a certain graph, which is determined by the height characteristic of the diagonal blocks and the reduced graph of A.