neville

sherpa.utils.neville(xout, xin, yin)

Polynomial one-dimensional interpolation using Neville’s method [1].

Parameters:
  • xout (array_like) – The positions at which to interpolate.
  • xin (array_like) – The x values of the data to be interpolated. This must be sorted so that it is monotonically increasing.
  • yin (array_like) – The y values of the data to interpolate (must be the same size as xin).
Returns:

yout – The interpolated y values (same size as xout).
Return type:

NumPy array of numbers

See also

interpolate(), linear_interp(), nearest_interp()

References

[1]http://en.wikipedia.org/wiki/Neville%27s_algorithm

Examples

>>> x = [1.2, 3.4, 4.5, 5.2]
>>> y = [12.2, 14.4, 16.8, 15.5]
>>> xgrid = np.linspace(2, 5, 5)
>>> ygrid = neville(xgrid, x, y)