Description Usage Arguments Value
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.
1 | construct.K(basis)
|
basis |
A matrix. Rows of the matrix are taken as the exponent vectors of the leading terms of a Legendre polynomial basis. |
A matrix where each entry is <f, g> with
<f, g> = \int_X ∑_{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.
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