Quasi-optimal multiplication of linear differential operators

被引：6
|
作者：
Benoit, Alexandre [1 ]
Bostan, Alin [2 ]
van der Hoeven, Joris [3 ]
机构：
[1] UPMC, Paris, France
[2] INRIA France, Paris, France
[3] CNRS, Ecole Polytech, Paris, France
来源：
2012 IEEE 53RD ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE (FOCS) | 2012年
关键词：
Linear differential operators; multiplication; algebraic algorithms; computational complexity;
D O I：
10.1109/FOCS.2012.57
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We show that linear differential operators with polynomial coefficients over a field of characteristic zero can be multiplied in quasi-optimal time. This answers an open question raised by van der Hoeven.
引用
收藏
页码：524 / 530
页数：7
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