Properties of Some Classes of Structured Tensors

Yisheng Song () and Liqun Qi ()
Additional contact information
Yisheng Song: Henan Normal University
Liqun Qi: The Hong Kong Polytechnic University

Journal of Optimization Theory and Applications, 2015, vol. 165, issue 3, No 10, 854-873

Abstract: Abstract In this paper, we extend some classes of structured matrices to higher-order tensors. We discuss their relationships with positive semi-definite tensors and some other structured tensors. We show that every principal sub-tensor of such a structured tensor is still a structured tensor in the same class, with a lower dimension. The potential links of such structured tensors with optimization, nonlinear equations, nonlinear complementarity problems, variational inequalities and the non-negative tensor theory are also discussed.

Keywords: P tensor; $$\hbox {P}_0$$ P 0 tensor; B tensor; $$\hbox {B}_0$$ B 0 tensor; Principal sub-tensor; Eigenvalues; 47H15; 47H12; 34B10; 47A52; 47J10; 47H09; 15A48; 47H07 (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (38)

Downloads: (external link)
http://link.springer.com/10.1007/s10957-014-0616-5 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:165:y:2015:i:3:d:10.1007_s10957-014-0616-5

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-014-0616-5

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().