monic.polynomials: Create list of monic orthogonal polynomials

In orthopolynom: Collection of Functions for Orthogonal and Orthonormal Polynomials

Create list of monic orthogonal polynomials

Description

This function returns a list with n + 1 elements containing the order k monic polynomials for orders k = 0,\;1,\; … ,\;n.

Usage

monic.polynomials(monic.recurrences)

Arguments

monic.recurrences

a data frame containing the parameters a and b

Value

A list with n + 1 polynomial objects

1	order 0 monic orthogonal polynomial
2	order 1 monic orthogonal polynomial

...

n+1	order n monic orthogonal polynomial

Author(s)

Frederick Novomestky [e-mail]

References

Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, 1992. Numerical Recipes in C, Cambridge University Press, Cambridge, U.K.

See Also

monic.polynomial.recurrences

Examples

###
### generate the recurrences for the T Chebyshev polynomials
### of orders 0 to 10
###
r <- chebyshev.t.recurrences( 10, normalized=TRUE )
###
### get the corresponding monic polynomial recurrences
###
m.r <- monic.polynomial.recurrences( r )
###
### obtain the list of monic polynomials
###
p.list <- monic.polynomials( m.r )

orthopolynom documentation built on Oct. 3, 2022, 5:08 p.m.