Lagrange Interpolation (多項式插值法)

Lagrange Interpolation

Trevor Arashiro, Lurker Zer, Patrick Corn, and 

 

contributed

The Lagrange interpolation formula is a way to find a polynomial which takes on certain values at arbitrary points. Specifically, it gives a constructive proof of the theorem below.

Suppose we have one point (1,3). How can we find a polynomial that could represent it?

Suppose we have sequence of points: (1,3), (2,4). How can we find a polynomial that could represent it?

Suppose we have sequence of points: (1,3), (2,4), (7,11). How can we find a polynomial that could represent it?In a general form it looks like this:

源自於https://brilliant.org/wiki/lagrange-interpolation/