Fast Multivariate Power Series Multiplication in Characteristic Zero

Let k be a field of characteristic zero. We present a fast algorithm formultiplying multivariate power series over k truncated in total degree. Upto logarithmic factors, its complexity is optimal, i.e. linear in the numberof coeffcients of the series.Keywords. Multivariate power series, fast multipl...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Lecerf, G., Schost, E.
Formato: Articulo
Lenguaje:Español
Publicado: 2003
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/135308
https://publicaciones.sadio.org.ar/index.php/EJS/article/view/105
Aporte de:
Descripción
Sumario:Let k be a field of characteristic zero. We present a fast algorithm formultiplying multivariate power series over k truncated in total degree. Upto logarithmic factors, its complexity is optimal, i.e. linear in the numberof coeffcients of the series.Keywords. Multivariate power series, fast multiplication, complexity.