Search for a tool
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.

Results

Lagrange Interpolating Polynomial -

Tag(s) : Mathematics

dCode and you

dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day!
You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? Contact-me!

Team dCode read all messages and answer them if you leave an email (not published). It is thanks to you that dCode has the best Lagrange Interpolating Polynomial tool. Thank you.

Lagrange Interpolating Polynomial

Sponsored ads

Lagrange Interpolation Calculator

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?

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.

From the points whose coordinates are known, the lagrange polynomial calculator can thus predict other points based on the assumption that the curve formed by these points is derived from a polynomial equation.

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

Example: By the knowledgeof the points $$(x,y)$$ : $$(0,0),(2,4),(4,16)$$ the Polynomial Lagrangian Interpolation method allow to find back the équation $$y = x^2$$. Once deducted, the interpolating function $$f(x) = x^2$$ allow to estimate the value for $$x = 3$$, here $$f(x) = 9$$.

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

There are others interpolation formulas such as Neville interpolation also available online on dCode.

What are the limits for Interpolating with Lagrange?

Since the complexity of the calculations increases with the number of points, the program is limited to 25 coordinates (with distinct x-values in the set Q).

Source code

dCode retains ownership of the source code of the script Lagrange Interpolating Polynomial online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, etc.) which dCode owns rights can be transferred after sales quote. So if you need to download the online Lagrange Interpolating Polynomial script for offline use, for you, your company or association, see you on contact page !

Questions / Comments

Team dCode read all messages and answer them if you leave an email (not published). It is thanks to you that dCode has the best Lagrange Interpolating Polynomial tool. Thank you.

Source : https://www.dcode.fr/lagrange-interpolating-polynomial
© 2017 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaches. dCode