Usage
betaS1lr(n,U,tUy,eigenvaluesS1,ddlmini,k,lambda,rank,Rm1U,index0)
Arguments
n
The number of observations.
U
The the matrix of eigen vectors of the
symmetric smoothing matrix S.
tUy
The transpose of the matrix of eigen vectors of the
symmetric smoothing matrix S times the vector of observation y.
eigenvaluesS1
Vector of the eigenvalues of the
symmetric smoothing matrix S.
ddlmini
The number of eigen values of S equal to 1.
k
A numeric vector which give the number of iterations.
lambda
The smoothness coefficient lambda for thin plate splines of
order m.
rank
The rank of lowrank splines.
Rm1U
matrix R^-1U (see reference).
index0
The index of the first eigen values of S
numerically equal to 0.