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Singular values of a real rectangular tensor |
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| Authors: | Kungching Chang Guanglu Zhou |
| Affiliation: | a LMAM, School of Mathematical Science, Peking University, Beijing 100871, China b Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong c Department of Mathematics and Statistics, Curtin University of Technology, Perth, Australia |
| Abstract: | Real rectangular tensors arise from the strong ellipticity condition problem in solid mechanics and the entanglement problem in quantum physics. In this paper, we systematically study properties of singular values of a real rectangular tensor, and give an algorithm to find the largest singular value of a nonnegative rectangular tensor. Numerical results show that the algorithm is efficient. |
| Keywords: | Singular value Rectangular tensor Partially symmetric tensor Nonnegative tensor Algorithm |
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