%0 Journal Article
%A Ansola Fernández-Enriquez, Macarena
%A Díaz-Cano Ocaña, Antonio
%A Zurro, M. A.
%T On real Waring decompositions of real binary forms
%D 2019
%U https://hdl.handle.net/20.500.14352/7228
%X The Waring Problem over polynomial rings asks how to decompose a homogeneous polynomial p of degree d as a finite sum 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. Some examples are shown to highlight the difference between the real and the complex case.
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