【摘 要】
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In this talk, we introduce a unified framework of Tensor Higher-Degree Eigenvalue-Complementarity Problem (THDEiCP), which goes beyond the framework of the
【机 构】
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HangzhouDianziUniversity
【出 处】
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2016年张量和矩阵学术研讨会(International conference on Tensor, Matrix a
论文部分内容阅读
In this talk, we introduce a unified framework of Tensor Higher-Degree Eigenvalue-Complementarity Problem (THDEiCP), which goes beyond the framework of the typi-cal Quadratic Eigenvalue Complementarity Problem for matrices. First, we study some topological properties of higher-degree cone eigenvalues of tensors. Based upon the symmetry assumptions on the underlying tensors, we then reformulate THDEiCP as a weakly coupled homogeneous polynomial optimization problem, which might be greatly helpful for designing implementable algorithms to solve the problem under considera-tion numerically. As more general theoretical results, we present the results concerning existence of solutions of THDEiCP without symmetry conditions. Finally, we propose an easily implementable algorithm to solve THDEiCP, and report some computational results.
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