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oai:docta.ucm.es:20.500.14352/72282025-05-23T18:24:16Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Ansola Fernández-Enríquez, María Macarena author Díaz-Cano Ocaña, Antonio author Zurro, María Ángeles author 2019 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. https://hdl.handle.net/20.500.14352/7228 On real Waring decompositions of real binary forms