Mathematics, Numerical Analysis, Numerical Methods, Numerical Computation, Numerical Reasoning.
the polynomial so that it matches the function values at the given data points. The Lagrange polynomials, denoted by Lᵢ(x), are the building blocks of the interpolation polynomial. Each Lᵢ(x) corresponds to a data point (xᵢ, yᵢ) and is defined as follows: Lᵢ(x) = Π [ (x — xⱼ) / (xᵢ — xⱼ) ] for j ≠