Applications of Padé approximants of type II in partitioning technique

Pade approximants of type II have been applied to solve equations of the type F(z) = 0. The method is compared with the first-order iteration procedure, the Aitken-Samuelson formula, and the Newton-Raphson tangential method. As a test example the partitioning technique in its most simple form is applied to the Hamiltonian of a rigid symmetric-top molecule in a static electric field. The proposed algorithm is found to be superior to the first-order procedure and the Aitken-Samuleson formula, and at least as effective as the Newton-Raphson method.