ibr (version 2.0-0)

lrsmoother: Evaluate the lowrank spline

Description

The function evaluates all the features needed for a lowrank spline smoothing. This function is not intended to be used directly.

Usage

lrsmoother(x,bs,listvarx,lambda,m,s,rank)

Value

Returns a list containing the smoothing matrix eigenvectors and eigenvalues vectors and values, and one matrix denoted Rm1U and one smoothobject smoothobject.

Details

see the reference for detailed explanation of the matrix matrix R^{-1}U (see reference) and smoothCon for the definition of smoothobject

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.

Wood, S.N. (2003) Thin plate regression splines. J. R. Statist. Soc. B, 65, 95-114.

See Also

ibr