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Iterative procedures in electron probe analysis corrections
Author(s) -
Springer G.
Publication year - 1976
Publication title -
x‐ray spectrometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 45
eISSN - 1097-4539
pISSN - 0049-8246
DOI - 10.1002/xrs.1300050208
Subject(s) - simple (philosophy) , divergence (linguistics) , convergence (economics) , mathematics , second derivative , iterative method , mathematical analysis , calculus (dental) , mathematical optimization , economics , medicine , philosophy , linguistics , dentistry , epistemology , economic growth
The simple, Wegstein and hyperbolic procedures of iteration are compared and shown to differ only in the ways in which the derivative of the correction factor with respect to concentration are calculated. The simple and hyperbolic methods are demonstrated either to provide slow convergence in certain cases or to lead to wrong values, or even to show divergence. The Wegstein procedure is recommended as being, in general, the fastest and most reliable method.