### Impacto

### Downloads

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(Unpublished)

Preview |
PDF
249kB |

## Abstract

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