polynomial.values {orthopolynom}

Create vector of polynomial values

Description

This function returns a list with n + 1 elements containing the values of the order k polynomials for orders k = 0,\;1,\; \ldots ,\;n and for the given argument x.

Usage

polynomial.values( polynomials, x )

Arguments

polynomials

list of polynomial objects

x

the argument which can be any numeric object

Value

A list of n + 1 polynomial objects where each element is the value of the polynomial.

1

Value(s) for the order 0 polynomial

2

Value(s) for the order 1 polynomial

...

n+1

Value(s) for the order n polynomial

Author(s)

Frederick Novomestky [e-mail]

Examples

###
### generate a list of T Chebyshev polynomials of
### orders 0 to 10
###
p.list <- chebyshev.t.polynomials( 10, normalized=FALSE )
x <- seq( -2, 2, .01 )
###
### compute the value of the polynomials for the given range of values in x
###
y <- polynomial.values( p.list, x )
print( y )