Article ID Journal Published Year Pages File Type
4600557 Linear Algebra and its Applications 2013 9 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory