A normalization algorithm for truncated p-adic arithmetic

A. Colagrossi, A. Miola
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引用次数: 4

Abstract

This paper presents a new algorithmic approach to cope with the problems related to the generation and the manipulation of the pseudo-Hensel-codes in the p-adic arithmetic. After reviewing some classical properties and the results of the Hensel code arithmetic, a new algorithm to manipulate pseudo-Hensel-codes is presented, discussed and compared with two existing methods. The lower cost of the proposed new algorithm will result from the comparison.
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截断p进算术的一种规范化算法
本文提出了一种新的算法方法来解决p进算法中伪亨塞尔码的生成和处理问题。在回顾了汉塞尔码算法的一些经典性质和结果的基础上,提出了一种新的伪汉塞尔码处理算法,并与现有的两种算法进行了讨论和比较。通过比较,可以得出新算法的成本较低。
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On error analysis in arithmetic with varying relative precision Fast area-efficient VLSI adders Computer arithmetic and ill-conditioned algebraic problems A normalization algorithm for truncated p-adic arithmetic Implementation of level-index arithmetic using partial table look-up
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