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SODA
2003
ACM
131views Algorithms» more  SODA 2003»
13 years 6 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
DATE
2006
IEEE
104views Hardware» more  DATE 2006»
13 years 11 months ago
Equivalence verification of arithmetic datapaths with multiple word-length operands
Abstract: This paper addresses the problem of equivalence veriļ¬cation of RTL descriptions that implement arithmetic computations (add, mult, shift) over bitvectors that have diļ¬...
Namrata Shekhar, Priyank Kalla, Florian Enescu
EUROCRYPT
2005
Springer
13 years 10 months ago
Floating-Point LLL Revisited
The Lenstra-Lenstra-LovĀ“asz lattice basis reduction algorithm (LLL or L3 ) is a very popular tool in public-key cryptanalysis and in many other ļ¬elds. Given an integer d-dimensi...
Phong Q. Nguyen, Damien Stehlé
COMPGEOM
2004
ACM
13 years 10 months ago
An energy-driven approach to linkage unfolding
We present a new algorithm for unfolding planar polygonal linkages without self-intersection based on following the gradient ļ¬‚ow of a ā€œrepulsiveā€ energy function. This algor...
Jason H. Cantarella, Erik D. Demaine, Hayley N. Ib...
ISSAC
2007
Springer
177views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Component-level parallelization of triangular decompositions
We discuss the parallelization of algorithms for solving polynomial systems symbolically by way of triangular decompositions. We introduce a component-level parallelism for which ...
Marc Moreno Maza, Yuzhen Xie