NAG Library Chapter Contents

E02 (fit)
Curve and Surface Fitting


E02 (fit) Chapter Introduction – a description of the Chapter and an overview of the algorithms available

Routine
Name
Mark of
Introduction

Purpose
e02acf
Example Text
Example Plot
1 nagf_fit_withdraw_1dmmax
Minimax curve fit by polynomials
Note: this routine is scheduled for withdrawal at Mark 27, see Advice on Replacement Calls for Withdrawn/Superseded Routines for further information.
e02adf
Example Text
Example Data
Example Plot
5 nagf_fit_1dcheb_arb
Least squares curve fit, by polynomials, arbitrary data points
e02aef
Example Text
Example Data
Example Plot
5 nagf_fit_1dcheb_eval
Evaluation of fitted polynomial in one variable from Chebyshev series form (simplified parameter list)
e02aff
Example Text
Example Data
Example Plot
5 nagf_fit_1dcheb_glp
Least squares polynomial fit, special data points (including interpolation)
e02agf
Example Text
Example Data
Example Plot
8 nagf_fit_1dcheb_con
Least squares polynomial fit, values and derivatives may be constrained, arbitrary data points
e02ahf
Example Text
Example Plot
8 nagf_fit_1dcheb_deriv
Derivative of fitted polynomial in Chebyshev series form
e02ajf
Example Text
8 nagf_fit_1dcheb_integ
Integral of fitted polynomial in Chebyshev series form
e02akf
Example Text
Example Plot
8 nagf_fit_1dcheb_eval2
Evaluation of fitted polynomial in one variable from Chebyshev series form
e02alf
Example Text
Example Data
25 nagf_fit_1d_minimax_polynomial
Minimax curve fit by polynomials
e02baf
Example Text
Example Data
Example Plot
5 nagf_fit_1dspline_knots
Least squares curve cubic spline fit (including interpolation)
e02bbf
Example Text
Example Data
Example Plot
5 nagf_fit_1dspline_eval
Evaluation of fitted cubic spline, function only
e02bcf
Example Text
Example Data
Example Plot
7 nagf_fit_1dspline_deriv
Evaluation of fitted cubic spline, function and derivatives
e02bdf
Example Text
Example Data
7 nagf_fit_1dspline_integ
Evaluation of fitted cubic spline, definite integral
e02bef
Example Text
Example Data
Example Plot
13 nagf_fit_1dspline_auto
Least squares cubic spline curve fit, automatic knot placement
e02bff
Example Text
Example Data
24 nagf_fit_1dspline_deriv_vector
Evaluation of fitted cubic spline, function and optionally derivatives at a vector of points
e02caf
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Example Data
Example Plot
7 nagf_fit_2dcheb_lines
Least squares surface fit by polynomials, data on lines parallel to one independent coordinate axis
e02cbf
Example Text
Example Data
Example Plot
7 nagf_fit_2dcheb_eval
Evaluation of fitted polynomial in two variables
e02daf
Example Text
Example Data
Example Plot
6 nagf_fit_2dspline_panel
Least squares surface fit, bicubic splines
e02dcf
Example Text
Example Data
Example Plot
13 nagf_fit_2dspline_grid
Least squares surface fit by bicubic splines with automatic knot placement, data on rectangular grid
e02ddf
Example Text
Example Data
Example Plot
13 nagf_fit_2dspline_sctr
Least squares surface fit by bicubic splines with automatic knot placement, scattered data
e02def
Example Text
Example Data
Example Plot
14 nagf_fit_2dspline_evalv
Evaluation of fitted bicubic spline at a vector of points
e02dff
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Example Data
14 nagf_fit_2dspline_evalm
Evaluation of fitted bicubic spline at a mesh of points
e02dhf
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Example Data
23 nagf_fit_2dspline_derivm
Evaluation of spline surface at mesh of points with derivatives
e02gaf
Example Text
Example Data
7 nagf_fit_glin_l1sol
L1-approximation by general linear function
e02gbf
Example Text
Example Data
7 nagf_fit_glinc_l1sol
L1-approximation by general linear function subject to linear inequality constraints
e02gcf
Example Text
Example Data
8 nagf_fit_glin_linf
L-approximation by general linear function
e02jdf
Example Text
Example Data
Example Plot
24 nagf_fit_2dspline_ts_sctr
Spline approximation to a set of scattered data using a two-stage approximation method
e02jef 24 nagf_fit_2dspline_ts_evalv
Evaluation at a vector of points of a spline computed by e02jdf
e02jff 24 nagf_fit_2dspline_ts_evalm
Evaluation at a mesh of points of a spline computed by e02jdf
e02raf
Example Text
7 nagf_fit_pade_app
Padé approximants
e02rbf
Example Text
Example Plot
7 nagf_fit_pade_eval
Evaluation of fitted rational function as computed by e02raf
e02zaf
Example Text
Example Data
6 nagf_fit_2dspline_sort
Sort two-dimensional data into panels for fitting bicubic splines
e02zkf 24 nagf_fit_opt_set
Option setting routine
e02zlf 24 nagf_fit_opt_get
Option getting routine
© The Numerical Algorithms Group Ltd, Oxford, UK. 2017