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Lagrange Interpolating Polynomial

Tool to find the equation of a function. Lagrange Interpolating Polynomial is a method for finding the equation corresponding to a curve having some dots coordinates of it.

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Lagrange Interpolating Polynomial -

Tag(s) : Mathematics

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# Lagrange Interpolating Polynomial

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## Interpolation of Polynomial by Lagrange

Tool to find the equation of a function. Lagrange Interpolating Polynomial is a method for finding the equation corresponding to a curve having some dots coordinates of it.

### How to find the equation of a curve using Lagrange?

dCode allow to use the Lagrangian method for interpolating a Polynomial and finds back the original equation using known points (x,y) values.

(0,0),(2,4),(4,16) finds back x^2

Lagrange polynomials are computed using the formula :

$$P(X) = \prod_{j=0, j\neq i}^{n} \frac{X-x_j}{x_i-x_j}$$

with the dots $$(x_0, y_0),\dots,(x_n, y_n)$$ and $$x_i$$ distinct.

The Lagrange interpolation method allows a good approximation of polynomial functions. The Neville interpolation also exists.

### What are the limits for Interpolating with Lagrange?

Calculations' needs can grow rapidly and program is limited to 25 points with distinct x-coordinate in the set Q.