abstract:In mathematics, the complexification or universal complexification of a real Lie group is given by a continuous homomorphism of the group into a complex Lie group with the universal property that every continuous homomorphism of the original group into another complex Lie group extends compatibly to a complex analytic homomorphism between the complex Lie groups. The complexification, which always exists, is unique up to isomorphism.
Thenanewalgorithmof brivate vector -valued rational interpolants by means of complexification of the knots and backwardthree-term recurrence relationsis given.