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ISSAC
2007
Springer
163views Mathematics» more  ISSAC 2007»
13 years 12 months ago
POSIX threads polynomials(PTPol): a scalable implementation of univariate arithmetic operations
In this paper, we describe the design of a C library named PTPol implementing arithmetic operations for univariate polynomials and report on practical experiments showing the rele...
Mohab Safey El Din, Philippe Trebuchet
DSD
2007
IEEE
133views Hardware» more  DSD 2007»
14 years 4 days ago
A Serial Logarithmic Number System ALU
Serial arithmetic uses less hardware than parallel arithmetic. Serial floating point (FP) is slower than parallel FP. The Logarithmic Number System (LNS) simplifies operations, ...
Mark G. Arnold, Panagiotis D. Vouzis
ISAAC
2003
Springer
141views Algorithms» more  ISAAC 2003»
13 years 11 months ago
Quasi-optimal Arithmetic for Quaternion Polynomials
Abstract. Fast algorithms for arithmetic on real or complex polynomials are wellknown and have proven to be not only asymptotically efficient but also very practical. Based on Fas...
Martin Ziegler
CASES
2009
ACM
13 years 9 months ago
Exploiting residue number system for power-efficient digital signal processing in embedded processors
2's complement number system imposes a fundamental limitation on the power and performance of arithmetic circuits, due to the fundamental need of cross-datapath carry propaga...
Rooju Chokshi, Krzysztof S. Berezowski, Aviral Shr...
TC
2002
13 years 5 months ago
A Number System with Continuous Valued Digits and Modulo Arithmetic
This paper presents a novel number system based on signed continuous valued digits. Arithmetic operations in this number system are performed using simple analog circuitry, in con...
Aryan Saed, Majid Ahmadi, Graham A. Jullien