General Theoretical Study of the Stepwise Coupling Methods

Autor:	Alain J.P. Alix, Benjamin J. van der Veken
Rok vydání:	2010
Předmět:	Coupling Simple (abstract algebra) Chemistry Convergence (routing) Kinematic coupling Applied mathematics General Chemistry Limit (mathematics) Function (mathematics) Eigenvalues and eigenvectors Matrix polynomial
Zdroj:	Bulletin des Sociétés Chimiques Belges. 84:111-124
ISSN:	0037-9646
DOI:	10.1002/bscb.19750840302
Popis:	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 m0 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.
Databáze:	OpenAIRE
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