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.

Amsterdam : Elsevier
ISSN:
0022-2860
Source:
Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
Topics:
Chemistry and Pharmacology
Physics
Type of Medium:
Electronic Resource
URL:
_version_ 1798291041716011009
autor Alix, A.
Bernard, L.
autorsonst Alix, A.
Bernard, L.
book_url http://linkinghub.elsevier.com/retrieve/pii/0022-2860(74)85068-4
datenlieferant nat_lic_papers
fussnote 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.
hauptsatz hsatz_simple
identnr NLZ174362811
issn 0022-2860
journal_name Journal of Molecular Structure
materialart 1
package_name Elsevier
publikationsort Amsterdam
publisher Elsevier
reference 20 (1974), S. 51-60
search_space articles
shingle_author_1 Alix, A.
Bernard, L.
shingle_author_2 Alix, A.
Bernard, L.
shingle_author_3 Alix, A.
Bernard, L.
shingle_author_4 Alix, A.
Bernard, L.
shingle_catch_all_1 Alix, A.
Bernard, L.
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
0022-2860
00222860
Elsevier
shingle_catch_all_2 Alix, A.
Bernard, L.
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
0022-2860
00222860
Elsevier
shingle_catch_all_3 Alix, A.
Bernard, L.
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
0022-2860
00222860
Elsevier
shingle_catch_all_4 Alix, A.
Bernard, L.
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
0022-2860
00222860
Elsevier
shingle_title_1 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
shingle_title_2 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
shingle_title_3 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
shingle_title_4 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
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source_archive Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
timestamp 2024-05-06T08:26:19.866Z
titel 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
titel_suche 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
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.
topic V
U
uid nat_lic_papers_NLZ174362811