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» Efficient computation of the characteristic polynomial
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APPT
2009
Springer
13 years 11 months ago
Efficient Multiplication of Polynomials on Graphics Hardware
We present the algorithm to multiply univariate polynomials with integer coefficients efficiently using the Number Theoretic transform (NTT) on Graphics Processing Units (GPU). The...
Pavel Emeliyanenko
CIC
2003
140views Communications» more  CIC 2003»
13 years 9 months ago
Magic Square: Scalable Peer-to-Peer Lookup Protocol Considering Peer's Characteristics
One of the research problems in P2P computing is to look up and store the resource efficiently. The recent algorithms developed by several research groups for the lookup problem p...
Sun-Mi Park, Il-dong Jung, Dong-joo Song, Young-su...
COMGEO
2006
ACM
13 years 7 months ago
An exact and efficient approach for computing a cell in an arrangement of quadrics
We present an approach for the exact and efficient computation of a cell in an arrangement of quadric surfaces. All calculations are based on exact rational algebraic methods and ...
Elmar Schömer, Nicola Wolpert
ICASSP
2008
IEEE
14 years 1 months ago
Efficient computation of the binary vector that maximizes a rank-deficient quadratic form
The maximization of a full-rank quadratic form over a finite alphabet is NP-hard in both a worst-case sense and an average sense. Interestingly, if the rank of the form is not a ...
George N. Karystinos, Athanasios P. Liavas
ACMSE
2006
ACM
13 years 11 months ago
Achieving efficient polynomial multiplication in fermat fields using the fast Fourier transform
We introduce an efficient way of performing polynomial multiplication in a class of finite fields GF(pm ) in the frequency domain. The Fast Fourier Transform (FFT) based frequency...
Selçuk Baktir, Berk Sunar