Accession Number : AD0776604

Title :   On the Mathematical Treatment of Analytical Functions in Spectrochemical Multicomponent Analysis,

Corporate Author : NAVAL RESEARCH LAB WASHINGTON D C

Personal Author(s) : Kaiser,H.

Report Date : 26 MAR 1974

Pagination or Media Count : 9

Abstract : Common aspects in the mathematical treatment of the analytical functions occuring in multicomponent analysis are considered. The starting point is the idea of a mapping process correlating points in the 'space of the chemical constitution' to points in the 'space of the measures'. The system of functions which performs this mapping in the case of calibration can be represented locally by the 'calibration matrix'. These systems of functions must be linearized in order to solve the calibration problem practically and economically in the case of procedures which are not completely selective. The usefulness of surplus (e.g. redundant) measurements in a spectrum, with respect to accuracy and precision, is touched and also the propagation of systematic and random errors throughout the inversion of the calibration matrix.

Descriptors :   *Spectrum analysis, Data reduction, Errors, Chemical composition, Calibration, Matrices(Mathematics), Translations, West Germany

Subject Categories : Physical Chemistry

Distribution Statement : APPROVED FOR PUBLIC RELEASE