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    STUDIA MATHEMATICA - Issue no. 4 / 2014  
         
  Article:   DISTRIBUTED COMPUTING OF SIMULTANEOUS DIOPHANTINE APPROXIMATION PROBLEMS.

Authors:  . 		 
       
         
  Abstract:   In this paper we present the Multithreaded Advanced Fast Rational Approximation algorithm - MAFRA - for solving n-dimensional simultaneous Diophantine approximation problems. We show that in some particular applications the Lenstra-Lenstra-Lovasz (L3) algorithm can be substituted by the presente done in order to reduce their practical running time. MAFRA was implemented in the following architectures: an Intel Core i5-2450M CPU, an AMD Radeon 7970GPU card and an Intel cluster with 88 computing nodes.

Mathematics Subject Classi fication (2010): 68R01, 11J68.
Keywords: Diophantine approximation, rational approximation.
 
         
     
         
         
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