On the Mathematical Treatment of Analytical Functions in Spectrochemical Multicomponent Analysis,
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 26, 1974
- Accession Number
- AD0776604
Entities
People
- H. Kaiser
Organizations
- United States Naval Research Laboratory