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ISSAC
2007
Springer
142views Mathematics» more  ISSAC 2007»
14 years 1 months ago
Fast arithmetic for triangular sets: from theory to practice
We study arithmetic operations for triangular families of polynomials, concentrating on multiplication in dimension zero. By a suitable extension of fast univariate Euclidean divi...
Xin Li, Marc Moreno Maza, Éric Schost
TC
2010
13 years 2 months ago
FPGA Designs with Optimized Logarithmic Arithmetic
Using a general polynomial approximation approach, we present an arithmetic library generator for the logarithmic number system (LNS). The generator produces optimized LNS arithmet...
Haohuan Fu, Oskar Mencer, Wayne Luk
ICA3PP
2010
Springer
14 years 13 days ago
Modular Resultant Algorithm for Graphics Processors
Abstract. In this paper we report on the recent progress in computing bivariate polynomial resultants on Graphics Processing Units (GPU). Given two polynomials in Z[x, y], our algo...
Pavel Emeliyanenko
ARITH
1995
IEEE
13 years 11 months ago
Semi-Logarithmic Number Systems
—We present a new class of number systems, called Semi-Logarithmic Number Systems, that constitute a family of various compromises between floating-point and logarithmic number s...
Jean-Michel Muller, Arnaud Tisserand, Alexandre Sc...
ISSAC
2001
Springer
123views Mathematics» more  ISSAC 2001»
14 years 2 days ago
A probabilistic algorithm to test local algebraic observability in polynomial time
The following questions are often encountered in system and control theory. Given an algebraic model of a physical process, which variables can be, in theory, deduced from the inp...
Alexandre Sedoglavic