alternant matrix

A Vandermonde matrix is a type of matrix that arises in the polynomial least squares fitting, Lagrange interpolating polynomials (Hoffman and Kunze p. 114), and the reconstruction of a statistical distribution from the distribution's moments (von Mises 1964; Press et al. 1992, p. 83). A Vandermonde matrix of order n is of the form [1 | x_1 | x_1^2 | ... | x_1^(n - 1) 1 | x_2 | x_2^2 | ... | x_2^(n - 1) ⋮ | ⋮ | ⋮ | ⋱ | ⋮ 1 | x_n | x_n^2 | ... | x_n^(n - 1)].

generalized Vandermonde matrix | least squares fitting--polynomial | Toeplitz matrix | tridiagonal matrix | Vandermonde determinant

VandermondeMatrix

Alexandre-Théophile Vandermonde