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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.

Answers to Questions

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.

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