Lagrange Interpolating Polynomial -- from Wolfram MathWorld

The Lagrange interpolating polynomial is the polynomial P(x) of degree <=(n-1) that passes through the n points (x_1,y_1=f(x_1)), (x_2,y_2=f(x_2)), , (x_n,y_n=f(x_n)), and is given by P(x)=sum_(j=1)^nP_j(x), (1) where P_j(x)=y_jproduct_(k=1; k!=j)^n(x-x_k)/(x_j-x_k). (2) Written explicitly, P(x) = (3) The formula was first published by Waring (1779), rediscovered by Euler in 1783, and published by Lagrange in 1795 (Jeffreys and Jeffreys 1988). Lagrange interpolating

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Lagrange polynomial - Wikiwand

Lagrange Polynomials

Lagrange Interpolating Polynomial -- from Wolfram MathWorld

Interpolation

Lagrange Interpolating Polynomial -- from Wolfram MathWorld

Partial Fractions Calculator: Wolfram

Lagrange Interpolating Polynomial - Easy Method

Lagrange Interpolating Polynomial -- from Wolfram MathWorld

Lagrange Polynomial Interpolation

Numerical Differentiation Using Lagrange Polynomials - Mathematics Stack Exchange

Lagrange Interpolating Polynomial -- from Wolfram MathWorld

SOLVED: Write a computer program for each problem. Use the Lagrange interpolation polynomial that passes through the following data points: xi: -4, -3, -2, -1, 0 yi: 5, 0, 3, 2, 9