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Applications of Padé approximants of type II in partitioning technique

✍ Scribed by I. Røeggen

Publisher
John Wiley and Sons
Year
1973
Tongue
English
Weight
398 KB
Volume
7
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

Padé 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.

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