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Erschienen in:
2020 | OriginalPaper | Buchkapitel
On the Problem of Decoupling Multivariate Polynomials
verfasst von : Stanislav Morozov, Dmitry A. Zheltkov, Nikolai Zamarashkin
Erschienen in: Large-Scale Scientific Computing
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Abstract
In this paper we address the application properties of the decoupling multivariate polynomials problem algorithm proposed in [2]. By numerous examples we demonstrate that this algorithm, unfortunately, fails to provide a solution in some cases. Therefore we empirically determine the application scope of this algorithm and show that it is connected with the uniqueness conditions of the CP-decomposition (Canonical Polyadic Decomposition). We also investigate the approximation properties of this algorithm and show that it is capable of construction the best low-rank polynomial approximation provided that the CP-decomposition is unique.