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C06 (Sum)
Summation of Series

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C06 (Sum) Chapter Introduction – A description of the Chapter and an overview of the algorithms available.

Routine
Mark of
Introduction

Purpose
c06baf 10 nagf_sum_accelerate
Acceleration of convergence of sequence, Shanks' transformation and epsilon algorithm
c06dcf 23 nagf_sum_chebyshev
Sum of a Chebyshev series at a set of points
c06faf 8 nagf_sum_fft_real_1d_rfmt
Single one-dimensional real discrete Fourier transform, extra workspace for greater speed
c06fbf 8 nagf_sum_fft_hermitian_1d_rfmt
Single one-dimensional Hermitian discrete Fourier transform, extra workspace for greater speed
c06fcf 8 nagf_sum_fft_complex_1d_sep
Single one-dimensional complex discrete Fourier transform, extra workspace for greater speed
c06fff 11 nagf_sum_fft_complex_multid_1d_sep
One-dimensional complex discrete Fourier transform of multidimensional data
c06fjf 11 nagf_sum_fft_complex_multid_sep
Multidimensional complex discrete Fourier transform of multidimensional data
c06fkf 11 nagf_sum_convcorr_real
Circular convolution or correlation of two real vectors, no restrictions on n
c06fxf 17 nagf_sum_fft_complex_3d_sep
Three-dimensional complex discrete Fourier transform
c06laf 12 nagf_sum_invlaplace_crump
Inverse Laplace transform, Crump's method
c06lbf 14 nagf_sum_invlaplace_weeks
Inverse Laplace transform, modified Weeks' method
c06lcf 14 nagf_sum_invlaplace_weeks_eval
Evaluate inverse Laplace transform as computed by c06lbf
c06paf 19 nagf_sum_fft_realherm_1d
Single one-dimensional real and Hermitian complex discrete Fourier transform, using complex storage format for Hermitian sequences
c06pcf 19 nagf_sum_fft_complex_1d
Single one-dimensional complex discrete Fourier transform, complex data type
c06pff 19 nagf_sum_fft_complex_multid_1d
One-dimensional complex discrete Fourier transform of multidimensional data (using complex data type)
c06pjf 19 nagf_sum_fft_complex_multid
Multidimensional complex discrete Fourier transform of multidimensional data (using complex data type)
c06pkf 19 nagf_sum_convcorr_complex
Circular convolution or correlation of two complex vectors
c06ppf 19 nagf_sum_fft_realherm_1d_multi_row
Multiple one-dimensional real and Hermitian complex discrete Fourier transforms, using row ordered complex storage format for Hermitian sequences
c06pqf 19 nagf_sum_fft_realherm_1d_multi_col
Multiple one-dimensional real and Hermitian complex discrete Fourier transforms, using column ordered complex storage format for Hermitian sequences
c06prf 19 nagf_sum_fft_complex_1d_multi_row
Multiple one-dimensional complex discrete Fourier transforms using complex data type
c06psf 19 nagf_sum_fft_complex_1d_multi_col
Multiple one-dimensional complex discrete Fourier transforms, complex data type
c06puf 19 nagf_sum_fft_complex_2d
Two-dimensional complex discrete Fourier transform, complex data type
c06pvf 24 nagf_sum_fft_real_2d
Two-dimensional real-to-complex discrete Fourier transform
c06pwf 24 nagf_sum_fft_hermitian_2d
Two-dimensional complex-to-real discrete Fourier transform
c06pxf 19 nagf_sum_fft_complex_3d
Three-dimensional complex discrete Fourier transform, complex data type
c06pyf 24 nagf_sum_fft_real_3d
Three-dimensional real-to-complex discrete Fourier transform
c06pzf 24 nagf_sum_fft_hermitian_3d
Three-dimensional complex-to-real discrete Fourier transform
c06raf 19 nagf_sum_fft_real_sine_simple
Discrete sine transform (easy-to-use)
c06rbf 19 nagf_sum_fft_real_cosine_simple
Discrete cosine transform (easy-to-use)
c06rcf 19 nagf_sum_fft_real_qtrsine_simple
Discrete quarter-wave sine transform (easy-to-use)
c06rdf 19 nagf_sum_fft_real_qtrcosine_simple
Discrete quarter-wave cosine transform (easy-to-use)
c06ref 25 nagf_sum_fft_sine
Multiple discrete sine transforms, simple
c06rff 25 nagf_sum_fft_cosine
Multiple discrete cosine transforms, simple
c06rgf 25 nagf_sum_fft_qtrsine
Multiple discrete quarter-wave sine transforms, simple
c06rhf 25 nagf_sum_fft_qtrcosine
Multiple discrete quarter-wave cosine transforms, simple
c06saf 26.1 nagf_sum_fast_gauss
Multidimensional fast Gauss transform
c06fpf 12
(Deprecated)
nagf_sum_withdraw_fft_real_1d_multi_rfmt
Multiple one-dimensional real discrete Fourier transforms
c06fqf 12
(Deprecated)
nagf_sum_withdraw_fft_hermitian_1d_multi_rfmt
Multiple one-dimensional Hermitian discrete Fourier transforms