NAG Library Chapter Contentse02 – Curve and Surface Fitting

e02 Chapter Introduction – a description of the Chapter and an overview of the algorithms available

 FunctionName Mark ofIntroduction Purpose e02adc Example Text Example Data 5 nag_1d_cheb_fit Computes the coefficients of a Chebyshev series polynomial for arbitrary data e02aec Example Text Example Data 5 nag_1d_cheb_eval Evaluates the coefficients of a Chebyshev series polynomial e02afc Example Text Example Data 5 nag_1d_cheb_interp_fit Computes the coefficients of a Chebyshev series polynomial for interpolated data e02agc Example Text Example DataExample Plot 7 nag_1d_cheb_fit_constr Least squares polynomial fit, values and derivatives may be constrained, arbitrary data points e02ahc Example TextExample Plot 7 nag_1d_cheb_deriv Derivative of fitted polynomial in Chebyshev series form e02ajc Example Text 7 nag_1d_cheb_intg Integral of fitted polynomial in Chebyshev series form e02akc Example TextExample Plot 7 nag_1d_cheb_eval2 Evaluation of fitted polynomial in one variable from Chebyshev series form e02alc Example Text Example Data 24 nag_1d_minimax_polynomial Minimax curve fit by polynomials e02bac Example Text Example Data 2 nag_1d_spline_fit_knots Least squares curve cubic spline fit (including interpolation), one variable e02bbc Example Text Example Data 2 nag_1d_spline_evaluate Evaluation of fitted cubic spline, function only e02bcc Example Text Example Data 2 nag_1d_spline_deriv Evaluation of fitted cubic spline, function and derivatives e02bdc Example Text Example Data 2 nag_1d_spline_intg Evaluation of fitted cubic spline, definite integral e02bec Example Text Example DataExample Plot 2 nag_1d_spline_fit Least squares cubic spline curve fit, automatic knot placement, one variable e02bfc Example Text Example Data 24 nag_fit_1dspline_deriv_vector Evaluation of fitted cubic spline, function and optionally derivatives at a vector of points e02cac Example Text Example DataExample Plot 7 nag_2d_cheb_fit_lines Least squares surface fit by polynomials, data on lines parallel to one independent coordinate axis e02cbc Example Text Example DataExample Plot 7 nag_2d_cheb_eval Evaluation of fitted polynomial in two variables e02dac Example Text Example DataExample Plot 8 nag_2d_spline_fit_panel Least squares surface fit, bicubic splines e02dcc Example Text Example Data 2 nag_2d_spline_fit_grid Least squares bicubic spline fit with automatic knot placement, two variables (rectangular grid) e02ddc Example Text Example Data 2 nag_2d_spline_fit_scat Least squares bicubic spline fit with automatic knot placement, two variables (scattered data) e02dec Example Text Example Data 2 nag_2d_spline_eval Evaluation of bicubic spline, at a set of points e02dfc Example Text Example Data 2 nag_2d_spline_eval_rect Evaluation of bicubic spline, at a mesh of points e02dhc Example Text Example Data 23 nag_2d_spline_deriv_rect Evaluation of spline surface at mesh of points with derivatives e02gac Example Text Example Data 7 nag_lone_fit ${L}_{1}$-approximation by general linear function e02gcc Example Text Example Data 7 nag_linf_fit ${L}_{\infty }$-approximation by general linear function e02jdc Example Text Example DataExample Plot 24 nag_2d_spline_fit_ts_scat Spline approximation to a set of scattered data using a two-stage approximation method e02jec 24 nag_2d_spline_ts_eval Evaluation at a vector of points of a spline computed by nag_2d_spline_fit_ts_scat (e02jdc) e02jfc 24 nag_2d_spline_ts_eval_rect Evaluation at a mesh of points of a spline computed by nag_2d_spline_fit_ts_scat (e02jdc) e02rac Example Text 7 nag_1d_pade Padé approximants e02rbc Example TextExample Plot 7 nag_1d_pade_eval Evaluation of fitted rational function as computed by nag_1d_pade (e02rac) e02zac Example Text Example Data 8 nag_2d_panel_sort Sort two-dimensional data into panels for fitting bicubic splines e02zkc 24 nag_fit_opt_set Option setting routine e02zlc 24 nag_fit_opt_get Option getting routine
© The Numerical Algorithms Group Ltd, Oxford, UK. 2017