On Generalized Inverse Vector Valued Continued Fraction Interpolation Splines

Abstract:

      The definition of vector valned continned fraction interpolating splines is at first introduced by means of generalized inverse of a vector. In the computation of the interpolating splines,which are of representation of the convergences for Thiele-type continned fraction.the three relation is avioded and a new effective recursive algorithm is constrncted. A sufficient condition for existence is given. Some interpolation results incluing uniqueness are given. In the end. a exact interpolation remainder formula is obtained.