Document Type

Article

Department/Program

Mathematics

Journal Title

Linear Algebra and Its Applications

Pub Date

2012

Volume

436

Issue

12

First Page

4412

Abstract

The notions of total positivity and of TPk are generalized to "shapes" (a generalization of matrices). In particular, the relationship between positivity of "contiguous" minors and all minors is characterized for general shapes and for certain special types of shapes. This and other ideas are used to address the TPk-completion problem and TPk-completable patterns. In case k = 2, a near characterization of TP2-completable patterns is given. (C) 2011 Elsevier Inc. All rights reserved.

DOI

10.1016/j.laa.2011.05.027

Download

Share Feedback

Share

COinS