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Generalization of rank reduction problems with Wedderburn's formula

✍ Scribed by Joan Ferré; Nicolaas (Klaas) M. Faber

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
101 KB
Volume
17
Category
Article
ISSN
0886-9383

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✦ Synopsis

Abstract

In first‐ and second‐order calibration methods based on spectroscopic data, the calculation of the space spanned by the spectra of the interferences has been an important research subject for, among many other applications, calculating the net analyte signal and obtaining figures of merit. Recently, many different calculation methods have been introduced. We show that the calculation of this space can be interpreted from a unified point of view, namely from the rank‐one downdating Wedderburn formula. This formula enables one to better understand the properties of the calculation methods currently available. A number of recently introduced signal‐preprocessing methods also fit into the proposed framework. Copyright © 2004 John Wiley & Sons, Ltd.

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