On weakly irreducible nonnegative tensors and interval hull of some classes of tensors. Issue 4 (2nd April 2016)

• Record Type: Journal Article
• Authors: Rajesh Kannan, M.; Shaked-Monderer, Naomi; Berman, Abraham
• Is Part Of: Linear & multilinear algebra. Volume 64:Issue 4(2016)
• Page Start: 667
• Page End: 679
• Publication Date: 2016-04-02
• Subjects: weakly irreducible nonnegative tensors -- -tensors -- positive definite tensors -- -tensors -- interval hull of tensors; 15A69; Algebras, Linear -- Periodicals; Multilinear algebra -- Periodicals; 512.505
• DOI: 10.1080/03081087.2015.1083527
• Languages: English
• ISSNs: 0308-1087

Abstract

Abstract : In this article, we prove the strict monotonicity of the spectral radius of weakly irreducible nonnegative tensors. As an application, we give a necessary and sufficient condition for an interval hull of tensors to be contained in the set of all strong -tensors. We also establish some properties of -tensors. Finally, we consider some problems related to interval hull of positive (semi)definite tensors and -tensors.