Homotopy methods for multiplication modulo triangular sets
Symbolic Computation
2009-01-26 v1 Data Structures and Algorithms
Abstract
We study the cost of multiplication modulo triangular families of polynomials. Following previous work by Li, Moreno Maza and Schost, we propose an algorithm that relies on homotopy and fast evaluation-interpolation techniques. We obtain a quasi-linear time complexity for substantial families of examples, for which no such result was known before. Applications are given to notably addition of algebraic numbers in small characteristic.
Keywords
Cite
@article{arxiv.0901.3657,
title = {Homotopy methods for multiplication modulo triangular sets},
author = {Alin Bostan and Muhammad Chowdhury and Joris van der Hoeven and Eric Schost},
journal= {arXiv preprint arXiv:0901.3657},
year = {2009}
}