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» Computing Sparse Multiples of Polynomials
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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
ICPP
2009
IEEE
14 years 2 months ago
Perfomance Models for Blocked Sparse Matrix-Vector Multiplication Kernels
—Sparse Matrix-Vector multiplication (SpMV) is a very challenging computational kernel, since its performance depends greatly on both the input matrix and the underlying architec...
Vasileios Karakasis, Georgios I. Goumas, Nectarios...
CAP
2010
13 years 2 months ago
A high-performance algorithm for calculating cyclotomic polynomials
The nth cyclotomic polynomial, n(z), is the monic polynomial whose (n) distinct roots are the nth primitive roots of unity. n(z) can be computed efficiently as a quotient of terms...
Andrew Arnold, Michael B. Monagan
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
MFCS
2010
Springer
13 years 6 months ago
Evaluating Non-square Sparse Bilinear Forms on Multiple Vector Pairs in the I/O-Model
We consider evaluating one bilinear form defined by a sparse Ny × Nx matrix A having h entries on w pairs of vectors The model of computation is the semiring I/O-model with main ...
Gero Greiner, Riko Jacob