On Thu, Jan 8, 2009 at 5:16 AM, Harald Schilly <harald.schi...@gmail.com> wrote: > > On Jan 7, 6:23 pm, "William Stein" <wst...@gmail.com> wrote: >> ... If you have enough such constraints, then >> all coefficients will be uniquely determined... > > No, it's interpolation. Calculating the exact solution is actually a > problem due to high frequency components and disturbances. > Interpolation tries to avoid this and an inexact solution with an > upper limit on the degree is the objective :)
Since you're correcting me, I want to point out that the original posted said: "Let f(x,y,z) is polynomial in x,y,z with degree 4. But we don't know the coefficient of the monomials of f. And we know f(x0,y0,z0) for different x0,y0,z0 which are known to us. Can we find the coefficient of the monomials of f using SAGE easily?" Based on that description, for all we know the x0,y0,z0 are all integers or rational numbers; they could even be symbolic. It's not at all clear that this is a numerical problem. -- William --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
