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» The Accelerated Euclidean Algorithm
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ICALP
2000
Springer
15 years 10 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 11 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»
15 years 6 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»
15 years 8 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
16 years 5 days 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....