SOME PROPERTIES OF THE RECURSIVE PROJECTION AND INTERPOLATION ALGORITHMS

The recursive projection algorithm (RPA), derived from the vector Sylv ester identity, has a connection with the recursive interpolation algo rithm (RIA). These algorithms have many applications and connections w ith some other methods used in various areas of numerical analysis. Th e aim of this paper is to study some properties of these algorithms. W e use properties of projectors, a matrix implementation and the Schur complement extended to the vector case, to give a result about their f inite termination.