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» The Accelerated Euclidean Algorithm
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ICALP
2000
Springer
15 years 1 months ago
Average Bit-Complexity of Euclidean Algorithms
Abstract. We obtain new results regarding the precise average bitcomplexity of five algorithms of a broad Euclidean type. We develop a general framework for analysis of algorithms,...
Ali Akhavi, Brigitte Vallée
ARITH
1999
IEEE
15 years 1 months ago
Digit-Recurrence Algorithm for Computing Euclidean Norm of a 3-D Vector
A digit-recurrence algorithm for computing the Euclidean norm of a 3-dimensional vector is proposed. Starting from the vector component with the highest order of magnitude as the ...
Naofumi Takagi, Seiji Kuwahara
ALGORITHMICA
1998
90views more  ALGORITHMICA 1998»
14 years 9 months ago
Dynamics of the Binary Euclidean Algorithm: Functional Analysis and Operators
We provide here a complete average-case analysis of the binary continued fraction representation of a random rational whose numerator and denominator are odd and less than N. We an...
Brigitte Vallée
ESA
2008
Springer
81views Algorithms» more  ESA 2008»
14 years 11 months ago
An Efficient Algorithm for 2D Euclidean 2-Center with Outliers
For a set P of n points in R2 , the Euclidean 2-center problem computes a pair of congruent disks of the minimal radius that cover P. We extend this to the (2, k)-center problem wh...
Pankaj K. Agarwal, Jeff M. Phillips
ICALP
2005
Springer
15 years 3 months ago
Approximation Algorithms for Euclidean Group TSP
In the Euclidean group Traveling Salesman Problem (TSP), we are given a set of points P in the plane and a set of m connected regions, each containing at least one point of P. We w...
Khaled M. Elbassioni, Aleksei V. Fishkin, Nabil H....