SDP relaxation algorithms for $$\mathbf {P}(\mathbf {P}_0)$$P(P0)-tensor detection

Xiao Wang (), Xinzhen Zhang () and Guangming Zhou ()
Additional contact information
Xiao Wang: Tianjin University
Xinzhen Zhang: Tianjin University
Guangming Zhou: Xiangtan University

Computational Optimization and Applications, 2020, vol. 75, issue 3, No 7, 739-752

Abstract: Abstract $$\mathbf {P}$$P-tensor and $$\mathbf {P}_0$$P0-tensor are introduced in tensor complementarity problem, which have wide applications in game theory. In this paper, we establish SDP relaxation algorithms for detecting $$\mathbf {P}(\mathbf {P}_0)$$P(P0)-tensor. We first reformulate $$\mathbf {P}(\mathbf {P}_0)$$P(P0)-tensor detection problem as polynomial optimization problems. Then we propose the SDP relaxation algorithms for solving the reformulated polynomial optimization problems. Numerical examples are reported to show the efficiency of the proposed algorithms.

Keywords: Tensor; $$\mathbf {P}$$ P -tensor; $$\mathbf {P}_0$$ P 0 -tensor; Lasserre’s hierarchy; Semidefinite program; 15A18; 15A69; 90C22 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10589-019-00145-2 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:coopap:v:75:y:2020:i:3:d:10.1007_s10589-019-00145-2

Ordering information: This journal article can be ordered from
http://www.springer.com/math/journal/10589

DOI: 10.1007/s10589-019-00145-2

Access Statistics for this article

Computational Optimization and Applications is currently edited by William W. Hager

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