C06 Chapter Contents (PDF version)
C06 Chapter Introduction
NAG Library Manual

NAG Library Chapter Contents

C06 – Summation of Series


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

Routine
Name
Mark of
Introduction

Purpose
C06BAF
Example Text
Example 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 transforms
Note: this routine is scheduled for withdrawal at Mark 28, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information.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 transforms
Note: this routine is scheduled for withdrawal at Mark 28, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information.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 Data
Example Plot
12 nagf_sum_invlaplace_crump
Inverse Laplace transform, Crump's method
C06LBF
Example Text
Example Data
Example 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

C06 Chapter Contents (PDF version)
C06 Chapter Introduction
NAG Library Manual

© The Numerical Algorithms Group Ltd, Oxford, UK. 2016