Homotopy methods for multiplication modulo triangular sets

Details Homotopy methods for multiplication modulo triangular sets Homotopy methods for multiplication modulo triangular sets

2009-01-23

arxiv.org/abs/0901.3657v1

Computer Science

Symbolic Computation

Scientific paper

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.

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