numpy.polynomial.chebyshev.chebadd

numpy.polynomial.chebyshev.chebadd(c1, c2)

Add one Chebyshev series to another.

Returns the sum of two Chebyshev series c1 + c2. The arguments are sequences of coefficients ordered from lowest order term to highest, i.e., [1,2,3] represents the series T_0 + 2*T_1 + 3*T_2.

Parameters:

c1, c2 : array_like

1-D arrays of Chebyshev series coefficients ordered from low to high.

Returns:

out : ndarray

Array representing the Chebyshev series of their sum.

See also

chebsub, chebmul, chebdiv, chebpow

Notes

Unlike multiplication, division, etc., the sum of two Chebyshev series is a Chebyshev series (without having to “reproject” the result onto the basis set) so addition, just like that of “standard” polynomials, is simply “component-wise.”

Examples

>>> from numpy.polynomial import chebyshev as C
>>> c1 = (1,2,3)
>>> c2 = (3,2,1)
>>> C.chebadd(c1,c2)
array([ 4.,  4.,  4.])