NAG FL Interface
C06 (Sum)
Summation of Series

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

Routine
Mark of
Introduction

Purpose
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10 nagf_sum_accelerate
Acceleration of convergence of sequence, Shanks' transformation and epsilon algorithm
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23 nagf_sum_chebyshev
Sum of a Chebyshev series at a set of points
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8 nagf_sum_fft_real_1d_rfmt
Single one-dimensional real discrete Fourier transform, extra workspace for greater speed
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8 nagf_sum_fft_hermitian_1d_rfmt
Single one-dimensional Hermitian discrete Fourier transform, extra workspace for greater speed
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8 nagf_sum_fft_complex_1d_sep
Single one-dimensional complex discrete Fourier transform, extra workspace for greater speed
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11 nagf_sum_fft_complex_multid_1d_sep
One-dimensional complex discrete Fourier transform of multidimensional data
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11 nagf_sum_fft_complex_multid_sep
Multidimensional complex discrete Fourier transform of multidimensional data
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11 nagf_sum_convcorr_real
Circular convolution or correlation of two real vectors, no restrictions on n
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12 (Deprecated) nagf_sum_withdraw_fft_real_1d_multi_rfmt
Multiple one-dimensional real discrete Fourier transforms
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12 (Deprecated) nagf_sum_withdraw_fft_hermitian_1d_multi_rfmt
Multiple one-dimensional Hermitian discrete Fourier transforms
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17 nagf_sum_fft_complex_3d_sep
Three-dimensional complex discrete Fourier transform
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12 nagf_sum_invlaplace_crump
Inverse Laplace transform, Crump's method
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14 nagf_sum_invlaplace_weeks
Inverse Laplace transform, modified Weeks' method
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Evaluate inverse Laplace transform as computed by c06lbf
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19 nagf_sum_fft_realherm_1d
Single one-dimensional real and Hermitian complex discrete Fourier transform, using complex storage format for Hermitian sequences
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19 nagf_sum_fft_complex_1d
Single one-dimensional complex discrete Fourier transform, complex data type
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19 nagf_sum_fft_complex_multid_1d
One-dimensional complex discrete Fourier transform of multidimensional data (using complex data type)
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19 nagf_sum_fft_complex_multid
Multidimensional complex discrete Fourier transform of multidimensional data (using complex data type)
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19 nagf_sum_convcorr_complex
Circular convolution or correlation of two complex vectors
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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
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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
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19 nagf_sum_fft_complex_1d_multi_row
Multiple one-dimensional complex discrete Fourier transforms using complex data type
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19 nagf_sum_fft_complex_1d_multi_col
Multiple one-dimensional complex discrete Fourier transforms, complex data type
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19 nagf_sum_fft_complex_2d
Two-dimensional complex discrete Fourier transform, complex data type
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24 nagf_sum_fft_real_2d
Two-dimensional real-to-complex discrete Fourier transform
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Two-dimensional complex-to-real discrete Fourier transform
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19 nagf_sum_fft_complex_3d
Three-dimensional complex discrete Fourier transform, complex data type
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24 nagf_sum_fft_real_3d
Three-dimensional real-to-complex discrete Fourier transform
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Three-dimensional complex-to-real discrete Fourier transform
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19 nagf_sum_fft_real_sine_simple
Discrete sine transform (easy-to-use)
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19 nagf_sum_fft_real_cosine_simple
Discrete cosine transform (easy-to-use)
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19 nagf_sum_fft_real_qtrsine_simple
Discrete quarter-wave sine transform (easy-to-use)
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19 nagf_sum_fft_real_qtrcosine_simple
Discrete quarter-wave cosine transform (easy-to-use)
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25 nagf_sum_fft_sine
Multiple discrete sine transforms, simple
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25 nagf_sum_fft_cosine
Multiple discrete cosine transforms, simple
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25 nagf_sum_fft_qtrsine
Multiple discrete quarter-wave sine transforms, simple
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25 nagf_sum_fft_qtrcosine
Multiple discrete quarter-wave cosine transforms, simple
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26.1 nagf_sum_fast_gauss
Multidimensional fast Gauss transform