Document Type

Article

Department/Program

Mathematics

Journal Title

Linear Algebra and Its Applications

Pub Date

2013

Volume

438

Issue

5

First Page

2127

Abstract

We first 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. Then, the TN completable echelon and TP completable jagged patterns are characterized. This generalizes earlier work on combinatorially symmetric TN completable patterns. (C) 2012 Elsevier Inc. All rights reserved.

DOI

10.1016/j.laa.2012.11.008

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