| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4602101 | Linear Algebra and its Applications | 2009 | 15 Pages |
Abstract
An n×m real matrix A is said to be totally nonpositive (negative) if every minor is nonpositive (negative). In this paper, we study the full rank factorization in echelon form of a totally nonpositive (negative) matrix. This characterization allows us to significantly reduce the number of minors to be checked in order to decide the total negativity of a matrix.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
