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» Fraction-Free RNS Algorithms for Solving Linear Systems
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FCSC
2008
88views more  FCSC 2008»
13 years 5 months ago
Fraction-free matrix factors: new forms for LU and QR factors
Gaussian elimination and LU factoring have been greatly studied from the algorithmic point of view, but much less from the point view of the best output format. In this paper, we g...
Wenqin Zhou, David J. Jeffrey
IMCSIT
2010
13 years 3 months ago
Solving a Kind of BVP for ODEs on heterogeneous CPU + CUDA-enabled GPU Systems
The aim of this paper is to show that a special kind of boundary value problem for second-order ordinary differential equations which reduces to the problem of solving a tridiagona...
Przemyslaw Stpiczynski, Joanna Potiopa
JSC
2010
155views more  JSC 2010»
13 years 4 months ago
Algorithms for solving linear systems over cyclotomic fields
We consider the problem of solving a linear system Ax = b over a cyclotomic field. What makes cyclotomic fields of special interest is that we can easily find a prime p that sp...
Liang Chen, Michael B. Monagan
SC
2005
ACM
13 years 11 months ago
LU-GPU: Efficient Algorithms for Solving Dense Linear Systems on Graphics Hardware
Nico Galoppo, Naga K. Govindaraju, Michael Henson,...