C06 Chapter Introduction
NAG Library Manual

# NAG Library Chapter ContentsC06 – Summation of Series

C06 Chapter Introduction – a description of the Chapter and an overview of the algorithms available

 RoutineName Mark ofIntroduction Purpose C06BAF Example TextExample Plot 10 nagf_sum_accelerate Acceleration of convergence of sequence, Shanks' transformation and epsilon algorithm C06DCF Example Text Example Data 23 nagf_sum_chebyshev Sum of a Chebyshev series at a set of points C06FAF Example Text Example Data 8 nagf_sum_fft_real_1d_rfmt Single one-dimensional real discrete Fourier transform, extra workspace for greater speed C06FBF Example Text Example Data 8 nagf_sum_fft_hermitian_1d_rfmt Single one-dimensional Hermitian discrete Fourier transform, extra workspace for greater speed C06FCF Example Text Example Data 8 nagf_sum_fft_complex_1d_sep Single one-dimensional complex discrete Fourier transform, extra workspace for greater speed C06FFF Example Text Example Data 11 nagf_sum_fft_complex_multid_1d_sep One-dimensional complex discrete Fourier transform of multidimensional data C06FJF Example Text Example Data 11 nagf_sum_fft_complex_multid_sep Multidimensional complex discrete Fourier transform of multidimensional data C06FKF Example Text Example Data 11 nagf_sum_convcorr_real Circular convolution or correlation of two real vectors, no restrictions on $n$ C06FPF Example Text Example Data 12 nagf_sum_withdraw_fft_real_1d_multi_rfmt Multiple one-dimensional real discrete Fourier transformsNote: this routine is scheduled for withdrawal at Mark 28, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. C06FQF Example Text Example Data 12 nagf_sum_withdraw_fft_hermitian_1d_multi_rfmt Multiple one-dimensional Hermitian discrete Fourier transformsNote: this routine is scheduled for withdrawal at Mark 28, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information. C06FXF Example Text Example Data 17 nagf_sum_fft_complex_3d_sep Three-dimensional complex discrete Fourier transform C06LAF Example Text Example DataExample Plot 12 nagf_sum_invlaplace_crump Inverse Laplace transform, Crump's method C06LBF Example Text Example DataExample Plot 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 Example Text Example Data 19 nagf_sum_fft_realherm_1d Single one-dimensional real and Hermitian complex discrete Fourier transform, using complex storage format for Hermitian sequences C06PCF Example Text Example Data 19 nagf_sum_fft_complex_1d Single one-dimensional complex discrete Fourier transform, complex data type C06PFF Example Text Example Data 19 nagf_sum_fft_complex_multid_1d One-dimensional complex discrete Fourier transform of multidimensional data (using complex data type) C06PJF Example Text Example Data 19 nagf_sum_fft_complex_multid Multidimensional complex discrete Fourier transform of multidimensional data (using complex data type) C06PKF Example Text Example Data 19 nagf_sum_convcorr_complex Circular convolution or correlation of two complex vectors C06PPF Example Text Example Data 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 Example Text Example Data 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 Example Text Example Data 19 nagf_sum_fft_complex_1d_multi_row Multiple one-dimensional complex discrete Fourier transforms using complex data type C06PSF Example Text Example Data 19 nagf_sum_fft_complex_1d_multi_col Multiple one-dimensional complex discrete Fourier transforms, complex data type C06PUF Example Text Example Data 19 nagf_sum_fft_complex_2d Two-dimensional complex discrete Fourier transform, complex data type C06PVF Example Text Example Data 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 Example Text Example Data 19 nagf_sum_fft_complex_3d Three-dimensional complex discrete Fourier transform, complex data type C06PYF Example Text Example Data 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 Example Text Example Data 19 nagf_sum_fft_real_sine_simple Discrete sine transform (easy-to-use) C06RBF Example Text Example Data 19 nagf_sum_fft_real_cosine_simple Discrete cosine transform (easy-to-use) C06RCF Example Text Example Data 19 nagf_sum_fft_real_qtrsine_simple Discrete quarter-wave sine transform (easy-to-use) C06RDF Example Text Example Data 19 nagf_sum_fft_real_qtrcosine_simple Discrete quarter-wave cosine transform (easy-to-use) C06REF Example Text Example Data 25 nagf_sum_fft_sine Multiple discrete sine transforms, simple C06RFF Example Text Example Data 25 nagf_sum_fft_cosine Multiple discrete cosine transforms, simple C06RGF Example Text Example Data 25 nagf_sum_fft_qtrsine Multiple discrete quarter-wave sine transforms, simple C06RHF Example Text Example Data 25 nagf_sum_fft_qtrcosine Multiple discrete quarter-wave cosine transforms, simple