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SIAMNUM
2010
134views more  SIAMNUM 2010»
12 years 11 months ago
Nonequispaced Hyperbolic Cross Fast Fourier Transform
A straightforward discretisation of problems in d spatial dimensions often leads to an exponential growth in the number of degrees of freedom. Thus, even efficient algorithms like ...
Michael Döhler, Stefan Kunis, Daniel Potts
CPHYSICS
2010
195views more  CPHYSICS 2010»
13 years 5 months ago
Fast spherical Bessel transform via fast Fourier transform and recurrence formula
We propose a new method for the numerical evaluation of the spherical Bessel transform. A formula is derived for the transform by using an integral representation of the spherical...
Masayuki Toyoda, Taisuke Ozaki
CORR
2007
Springer
194views Education» more  CORR 2007»
13 years 5 months ago
Algebraic Signal Processing Theory: Cooley-Tukey Type Algorithms for DCTs and DSTs
Abstract—This paper presents a systematic methodology to derive and classify fast algorithms for linear transforms. The approach is based on the algebraic signal processing theor...
Markus Püschel, José M. F. Moura
MOC
2011
12 years 7 months ago
Calculating cyclotomic polynomials
Abstract. We present three algorithms to calculate Φn(z), the nth cyclotomic polynomial. The first algorithm calculates Φn(z) by a series of polynomial divisions, which we perfo...
Andrew Arnold, Michael B. Monagan
CAP
2010
13 years 21 hour 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