CL_chebyshevEval

Description

• Evaluates Chebyshev polynomials of first or second kind at given abscissae.

  The polynomials are defined as follows:

  P0(x) = 1 (degree 0)

  P1(x) = kind * x, with kind = 1 or 2 (degree 1)

  Pn(x) = 2 * x * Pn-1(x) - Pn-2(x), for n >= 2

  The function evaluates the polynomials of degree n at each abscissa x. y(i,j) is the value of the polynomial of degree n(i) at x(j).

  The function optionally evaluates the first and second derivatives of the polynomials.

Parameters

x:

Abscissae (1xN)

n:

(integer) Degrees of the polynomials in [0,100] (1xP)

kind:

(optional) 1 for first kind, 2 for second kind. Default is 1 (1x1)

y:

Values of Chebyshev polynomials (PxN)

pdot:

Values of polynomials first derivatives (PxN)

p2dot:

Values of polynomials second derivatives (PxN)

Authors

• CNES - DCT/SB

See also

• CL_chebyshevPoly

Examples

// Evaluate Chebyshev polynomials (degrees 0 to 5) of first kind x = linspace(-1,1,11); y = CL_chebyshevEval(x, 0:5)