The structure of the singular solution table of the M-Padé approximation problem

摘要

A general interpolation problem is defined which contains as special cases the M-Padé approximation problem as well as classical interpolation problems, e.g., Newton-Padé approximation. To study the structure of the solution table a new concept—the minimal solution—is introduced; statements on the local and global structure of the solution table are obtained. As a special case the well-known block structure of the Padé table is derived. Finally, a characterization of the solution set is given.