Total nonnegativity of the extended Perron complement

  • 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.

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Author:Mohammad AdmORCiDGND, Jürgen GarloffORCiDGND
Parent Title (English):Linear Algebra and its Applications
Document Type:Article
Year of Publication:2016
Release Date:2019/05/16
Tag:Extended Perron complement; Perron complement; Schur complement; Totally nonnegative matrix
First Page:214
Last Page:224
Open Access?:Ja
Relevance:Peer reviewed Publikation in Thomson-Reuters-Listung