dssmoother: Evaluate the smoothing matrix, the radial basis matrix, the
polynomial matrix and their associated coefficients
Description
The function evaluates the smoothing matrix H
, the
matrices Q and S and their associated
coefficients c
and s
. This function is not intended to be used directly.Usage
dssmoother(X,Y=NULL,lambda,m,s)
Value
Returns a list containing the smoothing matrix H
, and two
matrices denoted Sgu
(for null space) and Qgu
.Details
see the reference for detailed explanation of Q (the
semi kernel or radial basis) and
S (the polynomial null space).References
Duchon, J. (1977) Splines minimizing rotation-invariant semi-norms in
Solobev spaces. in W. Shemp and K. Zeller (eds) Construction theory of
functions of several variables, 85-100, Springer, Berlin. C. Gu (2002) Smoothing spline anova models. New York:
Springer-Verlag.