Symmetric rank-1 approximation of symmetric high-order tensors |
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Authors: | Leqin Wu Zaiwen Wen |
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Affiliation: | 1. Department of Information Science and Technology, Jinan University China, Guangzhou, People's Republic of China;2. Beijing International Center for Mathematical Research, Peking University, Beijing, People's Republic of China |
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Abstract: | ABSTRACTFinding the symmetric rank-1 approximation to a given symmetric tensor is an important problem due to its wide applications and its close relationship to the Z-eigenpair of a tensor. In this paper, we propose a method based on the proximal alternating linearized minimization to directly solve the optimization problem. Global convergence of our algorithm is established. Numerical experiments show that our algorithm is very competitive in speed, accuracy and robustness compared to other state-of-the-art methods. |
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Keywords: | Rank-1 approximation symmetric tensor proximal alternating linearized minimization Bose–Einstein condensate |
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