construct.K.1d: Construct the K matrix for a given univariate basis.

In SSM: Fit and Analyze Smooth Supersaturated Models

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.

SSM documentation built on May 1, 2019, 10:09 p.m.