Thiele Interpolation - Maple Programming Help

Thiele Interpolation

 Description Calculate Thiele's continued fraction interpolation on specified data points. This produces a rational function in continued fraction form.

Enter a list of data points.

 > $\left[\left[{-5}{,}{5}\right]{,}\left[{0}{,}{2}\right]{,}\left[{4}{,}{0}\right]\right]$
 $\left[\left[{-}{5}{,}{5}\right]{,}\left[{0}{,}{2}\right]{,}\left[{4}{,}{0}\right]\right]$ (1)

Specify the independent variable, and then calculate Thiele's interpolation.

 > $t:=\mathrm{CurveFitting}\left[\mathrm{ThieleInterpolation}\right]\left(,{x}\right)$
 ${t}{:=}{5}{+}\frac{{x}{+}{5}}{{-}\frac{{5}}{{3}}{-}\frac{{1}}{{30}}{}{x}}$ (2)
 Commands Used