Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/28970
Title: On the cone eigenvalue complementarity problem for higher-order tensors
Authors: Ling, C
He, H
Qi, L 
Keywords: Cone eigenvalue
Eigenvalue complementarity problem
Higher order tensor
Optimization reformulation
Projection algorithm
Issue Date: 2015
Publisher: Springer
Source: Computational optimization and applications, 2015 How to cite?
Journal: Computational optimization and applications 
Abstract: In this paper, we consider the tensor generalized eigenvalue complementarity problem (TGEiCP), which is an interesting generalization of matrix eigenvalue complementarity problem (EiCP). First, we give an affirmative result showing that TGEiCP is solvable and has at least one solution under some reasonable assumptions. Then, we introduce two optimization reformulations of TGEiCP, thereby beneficially establishing an upper bound on cone eigenvalues of tensors. Moreover, some new results concerning the bounds on the number of eigenvalues of TGEiCP further enrich the theory of TGEiCP. Last but not least, an implementable projection algorithm for solving TGEiCP is also developed for the problem under consideration. As an illustration of our theoretical results, preliminary computational results are reported.
URI: http://hdl.handle.net/10397/28970
ISSN: 0926-6003
EISSN: 1573-2894
DOI: 10.1007/s10589-015-9767-z
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