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The HMX mixing calculation program
Authors:D Stöckelmann and W U Reimold
Institution:(1) Universitätsrechenzentrum, Einsteinstraße 60, D-4400 Münster, West Germany;(2) Schonland Research Centre, University of the Witwatersrand, 2050 Wits, South Africa
Abstract:The HMX (harmonic mixing) mixing calculation program, originally developed to solve geological problems, provides a solution fora posteriori multicomponent mixing problems, i.e., for computations of the proportions of components contributing to a mixture in such cases where the compositions of components and mixture are known. Naturally, these problematics are not restricted to geosciences, but occur throughout all disciplines of natural sciences. The method applied is a harmonic least-squares regression analysis in combination with an optimization technique known as the variable metric method. This procedure guarantees a least-squares regression solution for those real mixing problems, where all data treated are subject to error. In these cases, the application of graphical or least-squares methods for linear regression, as they were used previously, will give significantly different, probably distorted, results.
Keywords:mixing calculation  multicomponent systems  harmonic least-squares  error dependence
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