Fast Multivariate Power Series Multiplication in Characteristic Zero
- Autores
- Lecerf, G.; Schost, E.
- Año de publicación
- 2003
- Idioma
- español castellano
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
Sociedad Argentina de Informática e Investigación Operativa - Materia
-
Ciencias Informáticas
Multivariate power series
fast multiplication
complexity - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/135308
Ver los metadatos del registro completo
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Fast Multivariate Power Series Multiplication in Characteristic ZeroLecerf, G.Schost, E.Ciencias InformáticasMultivariate power seriesfast multiplicationcomplexityLet 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.Sociedad Argentina de Informática e Investigación Operativa2003-06-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1-10http://sedici.unlp.edu.ar/handle/10915/135308spainfo:eu-repo/semantics/altIdentifier/url/https://publicaciones.sadio.org.ar/index.php/EJS/article/view/105info:eu-repo/semantics/altIdentifier/issn/1514-6774info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:14:58Zoai:sedici.unlp.edu.ar:10915/135308Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:14:58.727SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Fast Multivariate Power Series Multiplication in Characteristic Zero |
| title |
Fast Multivariate Power Series Multiplication in Characteristic Zero |
| spellingShingle |
Fast Multivariate Power Series Multiplication in Characteristic Zero Lecerf, G. Ciencias Informáticas Multivariate power series fast multiplication complexity |
| title_short |
Fast Multivariate Power Series Multiplication in Characteristic Zero |
| title_full |
Fast Multivariate Power Series Multiplication in Characteristic Zero |
| title_fullStr |
Fast Multivariate Power Series Multiplication in Characteristic Zero |
| title_full_unstemmed |
Fast Multivariate Power Series Multiplication in Characteristic Zero |
| title_sort |
Fast Multivariate Power Series Multiplication in Characteristic Zero |
| dc.creator.none.fl_str_mv |
Lecerf, G. Schost, E. |
| author |
Lecerf, G. |
| author_facet |
Lecerf, G. Schost, E. |
| author_role |
author |
| author2 |
Schost, E. |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Ciencias Informáticas Multivariate power series fast multiplication complexity |
| topic |
Ciencias Informáticas Multivariate power series fast multiplication complexity |
| dc.description.none.fl_txt_mv |
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. Sociedad Argentina de Informática e Investigación Operativa |
| description |
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. |
| publishDate |
2003 |
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2003-06-26 |
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