Asymmetric TP and TN completion problems
type: Item
instance of: scholarly article
title: Asymmetric TP and TN completion problems
zbMATH Open document ID: 1261.15035
author: Charles R. Johnson
author: Zhen Wei
published in: Linear Algebra and its Applications
publication date: 2013-02-22T00:00:00Z
review text: The authors give a complete list of polynomial conditions on the data for TP (TN) completability of partial TP (TN) matrices with just one or two unspecified entries in either or both of the upper right or lower left entries. These results are used to identify which such patterns, and related patterns, are TP (TN) completable. In addition, the TN completable echelon and TP completable jagged patterns are characterized. This generalizes earlier work on combinatorially symmetric TN completable patterns.
Mathematics Subject Classification ID: 15A83
Mathematics Subject Classification ID: 15B35
zbMATH DE Number: 6138402
zbMATH Keywords: TP(TN) completion
zbMATH Keywords: partial TP(TN) matrices
zbMATH Keywords: echelon patterns
zbMATH Keywords: jagged pattern
zbMATH Keywords: one-sided pattern
zbMATH Keywords: two-sided pattern
zbMATH Keywords: initial minors
zbMATH Keywords: Sylvester's identity
zbMATH Keywords: singly jagged
zbMATH Keywords: jagged echelon
reviewed by: Costică Moroşanu
MaRDI profile type: Publication
full work available at URL: j.laa.2012.11.008
OpenAlex ID: W1974884878
cites work: Totally positive matrices
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DOI: 10.1016/J.LAA.2012.11.008
description: scientific article; zbMATH DE number 6138402