construct.K {SSM} | R Documentation |
Construct the K matrix for a given multivariate basis.
Description
This function constructs the K matrix for a given multivariate basis assuming
the basis is a Legendre polynomial basis and the smoothing criterion is the
Frobenius norm of the Hessian integrated over [-1, 1]^d
.
Usage
construct.K(basis)
Arguments
basis |
A matrix. Rows of the matrix are taken as the exponent vectors of the leading terms of a Legendre polynomial basis. |
Value
A matrix where each entry is <f, g>
with
<f, g> = \int_X
\sum_{i,j}\frac{d^2f}{dx_idx_j}\frac{d^2g}{dx_idx_j} dx,
with f, g
being the Legendre polynomials described by the appropriate exponent vectors.
[Package SSM version 1.0.1 Index]