Usage
betaS1(n,U,tUy,eigenvaluesS1,ddlmini,k,lambda,Sgu,Qgu,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.
Sgu
The matrix of the polynomial null space S.
Qgu
The matrix of the semi kernel (or radial basis) Q.
index0
The index of the first eigen values of S
numerically equal to 0.