Fundamental Computations with Polynomials

作者: Dario Bini , Victor Y Pan , Dario Bini , Victor Y Pan , None

DOI: 10.1007/978-1-4612-0265-3_1

关键词: Formal power seriesLine (geometry)AlgorithmPadé approximantConvolutionDiscrete Fourier transformPolynomialFast Fourier transformComputer scienceAlgorithm design

摘要: In this chapter we recall the known effective algorithms for major problems of polynomial computations and demonstrate some fundamental techniques algorithm design, according to following line: first fast Fourier transform (FFT), leading a dramatic improvement classical discrete (DFT) multiplication (also called convolution). Then systematically extend such an other computations.

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