Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/29340
Title: Finding the extreme Z-eigenvalues of tensors via a sequential semidefinite programming method
Authors: Hu, S
Huang, ZH
Qi, L 
Issue Date: 2013
Source: Numerical linear algebra with applications, 2013, v. 20, no. 6, p. 972-984
Abstract: In this paper, we first introduce the tensor conic linear programming (TCLP), which is a generalization of the space TCLP. Then an approximation method, by using a sequence of semidefinite programming problems, is proposed to solve the TCLP. In particular, we reformulate the extreme Z-eigenvalue problem as a special TCLP. It gives a numerical algorithm to compute the extreme Z-eigenvalue of an even order tensor with dimension larger than three, which improves the literature. Numerical experiments show the efficiency of the proposed method.
Keywords: Semidefinite programming
Tensor conic linear programming
Z-eigenvalue
Publisher: John Wiley & Sons
Journal: Numerical linear algebra with applications 
ISSN: 1070-5325
EISSN: 1099-1506
DOI: 10.1002/nla.1884
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