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CORR
2010
Springer
159views Education» more  CORR 2010»
13 years 7 months ago
An Elimination Method for Solving Bivariate Polynomial Systems: Eliminating the Usual Drawbacks
We present an exact and complete algorithm to isolate the real solutions of a zero-dimensional bivariate polynomial system. The proposed algorithm constitutes an elimination metho...
Eric Berberich, Pavel Emeliyanenko, Michael Sagral...
ISCA
2006
IEEE
107views Hardware» more  ISCA 2006»
14 years 1 months ago
Distributed Arithmetic on a Quantum Multicomputer
We evaluate the performance of quantum arithmetic algorithms run on a distributed quantum computer (a quantum multicomputer). We vary the node capacity and I/O capabilities, and t...
Rodney Van Meter, Kae Nemoto, W. J. Munro, Kohei M...
DSD
2003
IEEE
69views Hardware» more  DSD 2003»
14 years 29 days ago
A VLIW Architecture for Logarithmic Arithmetic
The Logarithmic Number System (LNS) is an alternative to IEEE-754 standard floating-point arithmetic. LNS multiply, divide and square root are easier than IEEE-754 and naturally ...
Mark G. Arnold
SODA
2003
ACM
131views Algorithms» more  SODA 2003»
13 years 9 months ago
Root comparison techniques applied to computing the additively weighted Voronoi diagram
This work examines algebraic techniques for comparing quadratic algebraic numbers, thus yielding methods for deciding key predicates in various geometric constructions. Our motiva...
Menelaos I. Karavelas, Ioannis Z. Emiris
TYPES
2000
Springer
13 years 11 months ago
A Tour with Constructive Real Numbers
Abstract. The aim of this work is to characterize constructive real numbers through a minimal axiomatization. We introduce, discuss and justify 16 constructive axioms. Then we addr...
Alberto Ciaffaglione, Pietro Di Gianantonio