RT Journal Article T1 Semialgebraic sets and real binary forms decompositions A1 Ansola, M. A1 Díaz-Cano Ocaña, Antonio A1 Zurro, M. A. AB 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. PB Elsevier SN 07477171 YR 2021 FD 2021 LK https://hdl.handle.net/20.500.14352/8046 UL https://hdl.handle.net/20.500.14352/8046 LA eng NO Ministerio de Ciencia e Innovación (MICINN) NO Universidad Complutense de Madrid DS Docta Complutense RD 10 abr 2025