GENERALIZED CAUCHY-VANDERMONDE MATRICES

Matrices of the form [C V] consisting of a generalized Cauchy matrix a nd a generalized Vandermonde matrix are considered. Using the displace ment structure of these matrices, inversion formulas and criteria are presented. The interpretation of linear systems with such a coefficien t matrix as tangential interpolation problems leads to the concept of fundamental matrix, which is basic in this approach. For fundamental m atrices recursion formulas are established. From them, fast inversion algorithms emerge that work for arbitrary nonsingular matrices of this kind. (C) 1998 Elsevier Science Inc.