cics_unif_explicit: Construct the explicit form of uniform clamped interpolating...
In ICSsmoothing: Data Smoothing by Interpolating Cubic Splines

Description Usage Arguments Value Examples

cics_unif_explicit constructs the explicit form of uniform clamped interpolating cubic spline (via Hermite cubic spline) for nodes uu, function values yy and exterior-node derivatives d.

cics_unif_explicit(
  uumin,
  uumax,
  yy,
  d,
  clrs = c("blue", "red"),
  xlab = NULL,
  ylab = NULL,
  title = NULL
)

`uumin`	a starting node.
`uumax`	an ending node.
`yy`	a vector of function values pertaining to nodes in `uu`.
`d`	a vector of two values of derivative, in the first and the last node of `uu`.
`clrs`	a vector (optional parameter) of colours that are used alternately to plot the graph of spline's components.
`xlab`	a title (optional parameter) for the `x` axis.
`ylab`	a title (optional parameter) for the `y` axis.
`title`	a title (optional parameter) for the plot.

A list of spline components

`spline_coeffs`	matrix, whose `i`-th row contains coefficients of uniform ICS's `i`-th component.
`spline_polynomials`	list of UcICS's components string representations.
`B`	`4`-element array of `(n+1)x(n+4)` matrices, whereas element in `i`-th row and `j`-th column of `l`-th matrix contains coefficient by `x^{l-1}` of cubic polynomial that is in `i`-th row and `j`-th column of matrix `B` from spline's explicit form S=B.γ.
`gamma`	γ= vector of spline coefficients - function values and exterior-node derivatives that takes part in the explicit form S=B.γ.
`aux_BF`	A basis function of the spline
`aux_tridiag_inverse`	An inverse of the tridiagonal matrix used for spline derivatives construction

yy <- c(4, 5, 2, 1.8);
sp <- cics_unif_explicit(0, 6, yy, c(2, 0.9))
sp$spline_polynomials
### <~~>
### Spline components' coefficients
explicit_spline(sp$B, sp$gamma)
sp$spline_coeffs == .Last.value