construct.P.1d: Construct the change of basis matrix from univariate...

In SSM: Fit and Analyze Smooth Supersaturated Models

Description

Let f(x) be the vector of monomials implied by the matrix basis. Let P be the matrix generated by Legendre_P_1d. Then g(x)=P^Tf(x) is the vector of Legendre polynomials with leading terms corresponding to basis. e.g. the matrix (0 1 2)^T implies f(x)^T = (1 x x^2). Then g(x)^T = (L_0, L_1, L_2).

Usage

construct.P.1d(basis)

Arguments

basis

A matrix. Rows are taken as the degree of the associated monomial.

Value

A matrix which functions as a change of basis from monomials to Legendre.

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