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CP decomposition and low-rank approximation of antisymmetric tensors

Erna BegovicLana Perisa
Dec 2022
摘要
For the antisymmetric tensors the paper examines a low-rank approximationwhich is represented via only three vectors. We describe a suitable low-rankformat and propose an alternating least squares structure-preserving algorithmfor finding such approximation. The case of partial antisymmetry is alsodiscussed. The algorithms are implemented in Julia programming language andtheir numerical performance is discussed.
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