arXiv:2212.13389 Abstract | arXiv Analytics

arXiv:2212.13389 [math.NA]Abstract References Reviews Resources

CP decomposition and low-rank approximation of antisymmetric tensors

Published 2022-12-27Version 1

For the antisymmetric tensors the paper examines a low-rank approximation which is represented via only three vectors. We describe a suitable low-rank format and propose an alternating least squares structure-preserving algorithm for finding such approximation. The case of partial antisymmetry is also discussed. The algorithms are implemented in Julia programming language and their numerical performance is discussed.

Comments: 16 pages, 4 tables

Categories: math.NA, cs.NA

Subjects: 15A69

Keywords: low-rank approximation, antisymmetric tensors, cp decomposition, julia programming language, paper examines

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