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.
Original language | English |
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Pages (from-to) | 972-984 |
Number of pages | 13 |
Journal | Numerical Linear Algebra with Applications |
Volume | 20 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1 Dec 2013 |
Keywords
- Semidefinite programming
- Tensor conic linear programming
- Z-eigenvalue
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics