Homotopy methods for multiplication modulo triangular sets
نویسندگان
چکیده
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.
منابع مشابه
Homotopy techniques for multiplication modulo triangular sets
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 a...
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ورودعنوان ژورنال:
- CoRR
دوره abs/0901.3657 شماره
صفحات -
تاریخ انتشار 2009