Are there any modifications to Newton's divided difference interpolation that can be made in order to improve the accuracy of the value given, specifically for exponential functions such as $y=e^{-x}-x$?

  • $\begingroup$ Why do you need interpolation to compute $e^{-x}-x$? $\endgroup$ – Somos Feb 10 '18 at 13:17
  • $\begingroup$ To find an estimation of its root without using original algebra methods. $\endgroup$ – Surely Advert Feb 10 '18 at 13:21
  • $\begingroup$ To find the roots of $e^{-x}-x$ you need to compute the Lambert W function. $\endgroup$ – Somos Feb 10 '18 at 13:24

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