polynomial.powers {orthopolynom} | R Documentation |
This function returns a list with $n$+1 elements containing the vector of linear combinations of the order $k$ polynomials for orders $k$ = 0, 1,..., $n$. Each element in the list is a vector.
polynomial.powers(polynomials)
polynomials |
~~Describe polynomials here~~ |
The $j$-th component in the list is a vector of linear combinations of the order $k$ polynomials for orders $k$ = 0, 1, ..., $j-1$ equal to the monomial x raised to the power $j$-1.
A list of $n$+1 elements where each element is a vector of linear combinations.
1 |
Linear combination(s) of polynomials up to order 0 |
2 |
Linear combination(s) of polynomials up to order 1 |
n+1 |
Linear combination(s) of polynomials up to order $n$ |
Frederick Novomestky fnovomes@poly.edu
polynomials <- legendre.polynomials( 10 ) alphas <- polynomial.powers( polynomials )