# NAG FL InterfaceE01 (Interp)Interpolation

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E01 (Interp) Chapter Introduction – A description of the Chapter and an overview of the algorithms available.

Routine
Mark of
Introduction

Purpose
e01aaf 1 nagf_interp_dim1_aitken
Interpolated values, Aitken's technique, unequally spaced data, one variable
e01abf 1 nagf_interp_dim1_everett
Interpolated values, Everett's formula, equally spaced data, one variable
e01aef 8 nagf_interp_dim1_cheb
Interpolating functions, polynomial interpolant, data may include derivative values, one variable
e01baf 8 nagf_interp_dim1_spline
Interpolating functions, cubic spline interpolant, one variable
e01bef 13 nagf_interp_dim1_monotonic
Interpolating functions, monotonicity-preserving, piecewise cubic Hermite, one variable
e01bff 13 nagf_interp_dim1_monotonic_eval
Interpolated values, interpolant computed by e01bef, function only, one variable
e01bgf 13 nagf_interp_dim1_monotonic_deriv
Interpolated values, interpolant computed by e01bef, function and first derivative, one variable
e01bhf 13 nagf_interp_dim1_monotonic_intg
Interpolated values, interpolant computed by e01bef, definite integral, one variable
e01cef 27 nagf_interp_dim1_monconv_disc
Interpolating variables, monotone convex Hagan–West procedure, one variable
e01cff 27 nagf_interp_dim1_monconv_eval
Interpolated values, variables computed by e01cef, monotone convex Hagan–West procedure, one variable
e01daf 14 nagf_interp_dim2_spline_grid
Interpolating functions, fitting bicubic spline, data on rectangular grid
e01eaf 25 nagf_interp_dim2_triangulate
Triangulation of two-dimensional scattered grid, method of Renka and Cline
e01ebf 25 nagf_interp_dim2_triang_bary_eval
Barycentric interpolation on function values provided on a two-dimensional scattered grid
e01raf 9 nagf_interp_dim1_ratnl
Interpolating functions, rational interpolant, one variable
e01rbf 9 nagf_interp_dim1_ratnl_eval
Interpolated values, evaluate rational interpolant computed by e01raf, one variable
e01saf 13 nagf_interp_dim2_scat
Interpolating functions, method of Renka and Cline, two variables
e01sbf 13 nagf_interp_dim2_scat_eval
Interpolated values, evaluate interpolant computed by e01saf, two variables
e01sgf 18 nagf_interp_dim2_scat_shep
Interpolating functions, modified Shepard's method, two variables
e01shf 18 nagf_interp_dim2_scat_shep_eval
Interpolated values, evaluate interpolant computed by e01sgf, function and first derivatives, two variables
e01tgf 18 nagf_interp_dim3_scat_shep
Interpolating functions, modified Shepard's method, three variables
e01thf 18 nagf_interp_dim3_scat_shep_eval
Interpolated values, evaluate interpolant computed by e01tgf, function and first derivatives, three variables
e01tkf 23 nagf_interp_dim4_scat_shep
Interpolating functions, modified Shepard's method, four variables
e01tlf 23 nagf_interp_dim4_scat_shep_eval
Interpolated values, evaluate interpolant computed by e01tkf, function and first derivatives, four variables
e01tmf 23 nagf_interp_dim5_scat_shep
Interpolating functions, modified Shepard's method, five variables
e01tnf 23 nagf_interp_dim5_scat_shep_eval
Interpolated values, evaluate interpolant computed by e01tmf, function and first derivatives, five variables
e01zaf 27 nagf_interp_dimn_grid
Interpolates an $n$-dimensional point on grid data using either linear, cubic or modified Shepard's method
e01zmf 24 nagf_interp_dimn_scat_shep
Interpolating function, modified Shepard's method, $d$ dimensions
e01znf 24 nagf_interp_dimn_scat_shep_eval
Interpolated values, evaluate interpolant computed by e01zmf, function and first derivatives, $d$ dimensions