Numerical computation of Pade-Hermite Systems

For a vector (;To test the algorithm, a method is developed which enables the construction of power series with unstable blocks in predetermined Pade-Hermite table locations. Experiments using a Fortran implementation of the algorithm are reported for a variety of values of k. The relative error in the iteratively computed PHS is found to be comparable to that of a PHS determined by direct solution of the linear systems using Gaussian elimination requiring...