construct.P.1d {SSM} | R Documentation |
Construct the change of basis matrix from univariate monomials to Legendre polynomials.
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.
[Package SSM version 1.0.1 Index]