Semialgebraic sets and real binary forms decompositions



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Ansola, M. and Díaz-Cano Ocaña, Antonio and Zurro, M. A. (2021) Semialgebraic sets and real binary forms decompositions. Journal of Symbolic Computation, 107 . pp. 209-220. ISSN 07477171

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The Waring Problem over polynomial rings asks how to decompose a homogeneous polynomial p of degree d as a linear combination of d-th powers of linear forms. In this work we give an algorithm to obtain a real Waring decomposition of any given real binary form p of length at most its degree. In fact, we construct a semialgebraic family of Waring decompositions for p. We illustrate our results with some examples.

Item Type:Article
Uncontrolled Keywords:Real binary forms; Waring decompositions; Semialgebraic sets
Subjects:Sciences > Mathematics > Algebra
Sciences > Mathematics > Algebraic geometry
ID Code:65061
Deposited On:22 Apr 2021 15:10
Last Modified:23 Apr 2021 07:44

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