Ansola Fernández-Enriquez, MacarenaDíaz-Cano Ocaña, AntonioZurro, M. A.2023-06-172023-06-172019-11-19https://hdl.handle.net/20.500.14352/7228The 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.engjournal articleopen access512.7Real binary formsWaring decompositionsSemialgebraic setsÁlgebraGeometria algebraica1201 Álgebra1201.01 Geometría Algebraica