Generalization of rank reduction problems with Wedderburn's formula

被引:4
作者
Ferré, J
Faber, NM
机构
[1] Univ Rovira & Virgili, Dept Analyt & Organ Chem, E-43005 Tarragona, Spain
[2] Chemometry Consultancy, NL-6717 VD Ede, Netherlands
关键词
multivariate calibration; net analyte signal; rank reduction; Wedderburn's formula;
D O I
10.1002/cem.828
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
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 (C) 2004 John Wiley Sons, Ltd.
引用
收藏
页码:603 / 607
页数:5
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