Jean-Philippe Preaux, Jacques Raout
Abstract
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We give explicit formulas as well as a quadratic time algorithm to solve (so called) generalized Vandermonde's systems of p linear equations and n variables. It allows in particular to find all (so called Lagrange's) interpolation polynoms with degree n-1 taking given values in p distinct points.
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We give explicit formulas as well as a quadratic time algorithm to solve (so called) generalized Vandermonde's systems of p linear equations and n variables. It allows in particular to find all (so called Lagrange's) interpolation polynoms with degree n-1 taking given values in p distinct points.
Key concepts: Vandermonde matrix, Lagrange polynomial, Mathematics, Interpolation (computer graphics), Inverse quadratic interpolation, Quadratic equation, Trigonometric interpolation, Birkhoff interpolation