On real Waring decompositions of real binary forms



Downloads per month over past year

Ansola Fernández-Enriquez, Macarena and Díaz-Cano Ocaña, Antonio and Zurro, M. A. (2019) On real Waring decompositions of real binary forms. (Unpublished)

[thumbnail of diazcano_onReal.pdf]


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.

Item Type:Article
Uncontrolled Keywords:Real binary forms; Waring decompositions; Semialgebraic sets
Subjects:Sciences > Mathematics > Algebra
Sciences > Mathematics > Algebraic geometry
ID Code:73225
Deposited On:29 Jun 2022 15:26
Last Modified:30 Jun 2022 07:11

Origin of downloads

Repository Staff Only: item control page