| Chapter Introduction | |
| Module 8.1: nag_pch_interp - Piecewise Cubic Hermite Interpolation | |
| nag_pch_monot_interp | Generates a monotonicity-preserving piecewise cubic Hermite interpolant |
| nag_pch_eval | Computes values and optionally derivatives of a piecewise cubic Hermite interpolant |
| nag_pch_intg | Computes the definite integral of a piecewise cubic Hermite interpolant |
| nag_pch_extract | Extracts details of a piecewise cubic Hermite interpolant from a structure of type nag_pch_comm_wp |
| nag_pch_comm_wp | Represents a piecewise cubic Hermite interpolant (type) |
| Examples | |
| Module 8.2: nag_spline_1d - One-dimensional Spline Fitting | |
| nag_spline_1d_auto_fit | Generates a cubic spline approximation to an arbitrary 1-d data set, with automatic knot selection |
| nag_spline_1d_lsq_fit | Generates a weighted least-squares cubic spline fit to an arbitrary 1-d data set, with given interior knots |
| nag_spline_1d_interp | Generates a cubic spline interpolant to an arbitrary 1-d data set |
| nag_spline_1d_eval | Computes values of a cubic spline and optionally its first three derivatives |
| nag_spline_1d_intg | Computes the definite integral of a cubic spline |
| nag_spline_1d_set | Initializes a cubic spline with given interior knots and B-spline coefficients |
| nag_spline_1d_extract | Extracts details of a cubic spline from a structure of type nag_spline_1d_comm_wp |
| nag_spline_1d_comm_wp | Represents a 1-d cubic spline in B-spline series form (type) |
| Examples | |
| Module 8.3: nag_spline_2d - Two-dimensional Spline Fitting | |
| nag_spline_2d_auto_fit | Generates a bicubic spline approximation to a 2-d data set, with automatic knot selection |
| nag_spline_2d_lsq_fit | Generates a minimal, weighted least-squares bicubic spline surface fit to a given set of data points, with given interior knots |
| nag_spline_2d_interp | Generates a bicubic spline interpolating surface through a set of data values, given on a rectangular grid of the xy plane |
| nag_spline_2d_eval | Computes values of a bicubic spline |
| nag_spline_2d_intg | Computes the definite integral of a bicubic spline |
| nag_spline_2d_set | Initializes a bicubic spline with given interior knots and B-spline coefficients |
| nag_spline_2d_extract | Extracts details of a bicubic spline from a structure of type nag_spline_2d_comm_wp |
| nag_spline_2d_comm_wp | Represents a 2-d bicubic spline in B-spline series form (type) |
| Examples | |
| Module 8.4: nag_scat_interp - Interpolation of Scattered Data | |
| nag_scat_2d_interp | Generates a 2-d interpolating function using a modified Shepard method |
| nag_scat_2d_eval | Computes values of the interpolant generated by nag_scat_2d_interp and its partial derivatives |
| nag_scat_3d_interp | Generates a 3-d interpolating function using a modified Shepard method |
| nag_scat_3d_eval | Computes values of the interpolant generated by nag_scat_3d_interp and its partial derivatives |
| nag_scat_2d_set | Initializes a structure of type nag_scat_comm_wp to represent a 2-d scattered data interpolant |
| nag_scat_3d_set | Initializes a structure of type nag_scat_comm_wp to represent a 3-d scattered data interpolant |
| nag_scat_extract | Extracts details of a scattered data interpolant from a structure of derived type nag_scat_comm_wp |
| nag_scat_comm_wp | Represents a scattered data interpolant generated either by nag_scat_2d_interp or nag_scat_3d_interp (type) |
| Examples | |
| Module 8.5: nag_cheb_1d - Chebyshev Series | |
| nag_cheb_1d_fit | Finds the least-squares fit using arbitrary data points |
| nag_cheb_1d_interp | Generates the coefficients of the Chebyshev polynomial which interpolates (passes exactly through) data at a special set of points |
| nag_cheb_1d_fit_con | Finds the least-squares fit using arbitrary data points with constraints on some data points |
| nag_cheb_1d_eval | Evaluation of fitted polynomial in one variable, from Chebyshev series form |
| nag_cheb_1d_deriv | Derivatives of fitted polynomial in Chebyshev series form |
| nag_cheb_1d_intg | Integral of fitted polynomial in Chebyshev series form |
| Examples | |