Lagrange interpolation example pdf

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The interpolation polynomial passes through all four control points, and each scaled basis polynomial passes through its respective control point and is 0 where x corresponds to the other three control points. In numerical analysis, Lagrange polynomials are used for polynomial interpolation. The interpolating polynomial of the least degree is unique, however, and since it can be arrived at lagrange interpolation example pdf multiple methods, referring to “the Lagrange polynomial” is perhaps not as correct as referring to “the Lagrange form” of that unique polynomial. Although named after Joseph Louis Lagrange, who published it in 1795, the method was first discovered in 1779 by Edward Waring.