| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4600690 | Linear Algebra and its Applications | 2012 | 11 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
