1993•Computers in PhysicsRequires access

Curve fitting by Lagrange interpolation

G. Bäckström

Abstract

It is demonstrated that interpolation by quadratic polynomials using the Lagrange formula may compete in accuracy with cubic spline interpolation, while being simpler to implement. It is also shown that Lagrange interpolation may easily be used to fit an almost arbitrary function to experimental data. FORTRAN routines for Lagrange interpolation as well as Lagrange fitting are supplied separately.

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Key concepts: Lagrange polynomial, Inverse quadratic interpolation, Spline interpolation, Interpolation (computer graphics), Constraint algorithm, Quadratic equation, Trigonometric interpolation, Mathematics