Power Sum Decompositions of Elementary Symmetric Polynomials

Power Sum Decompositions of Elementary Symmetric Polynomials

We bound the tensor ranks of elementary symmetric polynomials, and we give explicit decompositions into powers of linear forms. The bound is attained when the degree is odd.

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Veröffentlicht in:arXiv.org 2015-08
1. Verfasser: Lee, Hwangrae
Format: Artikel
Sprache:eng
Schlagworte:
Decomposition
Polynomials
Tensors
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Zusammenfassung:We bound the tensor ranks of elementary symmetric polynomials, and we give explicit decompositions into powers of linear forms. The bound is attained when the degree is odd.
ISSN:2331-8422