construct.K.1d {SSM} | R Documentation |
Construct the K matrix for a given univariate 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]
.
Usage
construct.K.1d(basis)
Arguments
basis |
A matrix. Rows of the matrix are taken as the degree of the Legendre polynomial. |
Value
A matrix where each entry is <f, g>
with
<f, g> = \int_X
\frac{d^2f}{dx^2}\frac{d^2g}{dx^2} dx,
with f, g
being the
Legendre polynomials described by the appropriate exponent vectors.
[Package SSM version 1.0.1 Index]