Mathematics, Numerical Analysis, Numerical Methods, Numerical Computation, Numerical Reasoning.
i These polynomials have the property that Lᵢ(xᵢ) = 1 and Lᵢ(xⱼ) = 0 for j ≠ i, which ensures that the interpolation polynomial passes through the data points correctly. Interpolation Polynomial: The Lagrange interpolation polynomial P(x) is given by the sum of the products of the function values