Improved Tests and Characterizations of Totally Nonnegative Matrices

Adm, Mohammad; Garloff, Juergen

dc.contributor.author	Adm, Mohammad
dc.contributor.author	Garloff, Juergen
dc.date.accessioned	2017-02-01T07:21:59Z
dc.date.accessioned	2022-05-22T08:27:46Z
dc.date.available	2017-02-01T07:21:59Z
dc.date.available	2022-05-22T08:27:46Z
dc.date.issued	2014
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/7830
dc.description.abstract	Totally nonnegative matrices, i.e., matrices having all minors nonnegative, are considered. A condensed form of the Cauchon algorithm which has been proposed for finding a parameterization of the set of these matrices with a fixed pattern of vanishing minors is derived. The close connection of this variant to Neville elimination and bidiagonalization is shown and new determinantal tests for total nonnegativity are developed which require much fewer minors to be checked than for the tests known so far. New characterizations of some subclasses of the totally nonnegative matrices as well as shorter proofs for some classes of matrices for being (nonsingular and) totally nonnegative are derived.	en_US
dc.language.iso	en	en_US
dc.publisher	Electronic Journal of Linear Algebra	en_US
dc.subject	Totally nonnegative matrix, Totally positive matrix, Cauchon algorithm, Neville elimination, Bidiagonalization	en_US
dc.title	Improved Tests and Characterizations of Totally Nonnegative Matrices	en_US