Relaxing order basis computation

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چکیده

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Efficient algorithms for order basis computation

In this paper we present two algorithms for the computation of a shifted order basis of an m×n matrix of power series over a field K with m ≤ n. For a given order σ and balanced shift ~s the first algorithm determines an order basis with a cost of O∼(nωdmσ/ne) field operations in K, where ω is the exponent of matrix multiplication. Here an input shift is balanced when max(~s)−min(~s) ∈ O(mσ/n)....

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ژورنال

عنوان ژورنال: ACM Communications in Computer Algebra

سال: 2014

ISSN: 1932-2240

DOI: 10.1145/2576802.2576813