Rectangular Vandermonde matrices on Chebyshev nodes Original Research Article

We consider a rectangular Vandermonde matrix V on Chebyshev nodes. Using combinatorial identities, we give an explicit factorization of the matrix V, a factorization of thepseudo-inverse of V, and prove that the condition number κ2(V) does not depend onthe dimension of nodes set. We also discuss the numerical properties of the proposed formulas.