RT Journal Article T1 On real Waring decompositions of real binary forms A1 Ansola Fernández-Enríquez, María Macarena A1 Díaz-Cano Ocaña, Antonio A1 Zurro, María Ángeles AB 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. YR 2019 FD 2019 LK https://hdl.handle.net/20.500.14352/7228 UL https://hdl.handle.net/20.500.14352/7228 LA eng NO Ministerio de Ciencia e Innovación (MICINN) NO Universidad Complutense de Madrid DS Docta Complutense RD 15 jun 2025