| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4598611 | Linear Algebra and its Applications | 2016 | 11 Pages |
Abstract
A real matrix is called totally nonnegative if all of its minors are nonnegative. In this paper the extended Perron complement of a principal submatrix in a matrix A is investigated. In extension of known results it is shown that if A is irreducible and totally nonnegative and the principal submatrix consists of some specified consecutive rows then the extended Perron complement is totally nonnegative. Also inequalities between minors of the extended Perron complement and the Schur complement are presented.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mohammad Adm, Jürgen Garloff,