Cheta with base-change: preliminary results - Printable Version +- Tetration Forum (https://math.eretrandre.org/tetrationforum) +-- Forum: Tetration and Related Topics (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=1) +--- Forum: Computation (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=8) +--- Thread: Cheta with base-change: preliminary results (/showthread.php?tid=324) Pages: 1 2 3 RE: Cheta with base-change: preliminary results - jaydfox - 08/12/2009 (08/12/2009, 06:40 PM)bo198214 Wrote: I also just see that there is a function lagrange_polynomial in sage e.g. # using the definition of Lagrange interpolation polynomial sage: R = PolynomialRing(QQ, 'x') sage: R.lagrange_polynomial([(0,1),(2,2),(3,-2),(-4,9)]) I mean this should be super easy now. Just plug in your argument-value-pairs and you have the interpolating polynomial (no matrix fuzz). Then you can apply this interpolating polynomial to non-real values. Or extract the coefficients as you like. However I didnt check how long it takes Well that takes all the fun out of it, now doesn't it? But seriously, I'll try both approaches and see which is faster.