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Tellegen's Principle into Practice

机译:特莱根的实践原则

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摘要

The transposition principle, also called Tellegen's principle, is a set of transformation rules for linear programs. Yet, though well known, it is not used systematically, and few practical implementations rely on it. In this article, we propose explicit transposed versions of polynomial multiplication and division but also new faster algorithms for multipoint evaluation, interpolation and their transposes. We report on their implementation in Shoup's NTL C++ library.
机译:换位原理(也称为Tellegen原理)是线性程序的一组转换规则。然而,尽管众所周知,它并未得到系统地使用,并且很少有实际的实现依赖它。在本文中,我们提出了多项式乘法和除法的显式转置版本,还提出了用于多点评估,插值及其转置的新的更快算法。我们在Shoup的NTL C ++库中报告了它们的实现。

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