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General Theoretical Study of the Stepwise Coupling Methods

✍ Scribed by Alain J. P. Alix; Benjamin J. van Der Veken

Publisher: Wiley (John Wiley & Sons)
Year: 2010
Weight: 365 KB
Volume: 84
Category: Article
ISSN: 0037-9646
DOI: 10.1002/bscb.19750840302

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✦ Synopsis

Abstract

In this second part, the authors study the convergence of the iterative procedures based on the stepwise coupling methods in the second order case: especially the Eigenvector Method of H. J. BECHER and R. MATTES and the Matrix Polynomial Expansion Method of A. ALIX. It is shown that under some simple conditions on the number m~0~ of iterative cycles and on the function which defines the stepwise introduction of the kinematic coupling, that the limit obtained is unique. The expression of that limit and its properties are discussed in detail.

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