General theoretical study of the stepwise coupling methods: - Part I. Determination of the generalised valence force field in the n-order cases and the matrix polynomial expansion of the eigenvector method - Alix, A.; Bernard, L. (Elsevier)
In the n-order general cases the Eigenvector Method of Becher and Mattes is shown to have an equivalent form: The Matrix Polynomial Expansion Method which is much simpler for computational procedures and has none of the inconvenience of the previous stepwise coupling methods (e.g., the Fadini's methods, the Eigenvector Method and the Logarithmic Steps Method of Wendling and Mahmoudi). It is also shown that the Eigenvector Method and the Matrix Polynomial Expansion Method correspond to the ''closest solution'' to the complete uncoupled initial solution, thereby justifying the method and giving application limits.
http://linkinghub.elsevier.com/retrieve/pii/0022-2860(74)85068-4
Keywords: V; U