Studies on the adaptability of different Borgen norms applied in self-modeling curve resolution (SMCR) method

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

Lawton and Sylvestre, and later Borgen et al. provided first the analytical solution for determining feasible regions of self-modeling curve resolution (SMCR) method for two- and three-component systems, respectively. After 20 years, Rajkó and István recently revitalized Borgen's method given a clear interpretation and algorithm how to draw Borgen plots using computer geometry tools; later Rajkó proved the existence of the natural duality in minimal constrained SMCR. In both latter cases, 1-norm was used to normalize raw data; however Borgen et al. introduced a more general class of normalization. In this paper, the definition and detailed descriptions of Borgen norms are given firstly appearing in the chemical literature. Some theoretical and practical studies on the adaptability of some Borgen norms used for SMCR method are also provided.

Original languageEnglish
Pages (from-to)265-274
Number of pages10
JournalJournal of Chemometrics
Volume23
Issue number6
DOIs
Publication statusPublished - Jun 2009

Fingerprint

Curve Resolution
Adaptability
Norm
Geometry
Modeling
Natural Duality
Normalize
Feasible region
Normalization
Analytical Solution

Keywords

  • analytical derivation of feasible regions
  • Bilinear data;self-modeling curve resolution (SMCR)
  • Borgen norm
  • Borgen plot

ASJC Scopus subject areas

  • Analytical Chemistry
  • Applied Mathematics

Cite this

Studies on the adaptability of different Borgen norms applied in self-modeling curve resolution (SMCR) method. / Rajkó, R.

In: Journal of Chemometrics, Vol. 23, No. 6, 06.2009, p. 265-274.

Research output: Contribution to journalArticle

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