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Investigation and visualization of resolution theorems in self modeling curve resolution (SMCR) methods
Author(s) -
Akbari Mahsa,
Abdollahi Hamid
Publication year - 2013
Publication title -
journal of chemometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.47
H-Index - 92
eISSN - 1099-128X
pISSN - 0886-9383
DOI - 10.1002/cem.2519
Subject(s) - resolution (logic) , visualization , ambiguity , focus (optics) , rank (graph theory) , computer science , ambiguity resolution , multivariate statistics , algorithm , data mining , mathematics , artificial intelligence , machine learning , optics , physics , telecommunications , gnss applications , combinatorics , global positioning system , programming language
Different approaches have been proposed during recent years to improve the solutions obtained by multivariate curve resolution methods, among them studies on circumstances that result in unique answers are of particular importance. Three so‐called resolution theorems proposed by Rolf Manne comprehensively discuss and survey these conditions. Despite the importance of these theorems, they have not attracted much attention in the literature. In this work, we have returned to the resolution theorems by using visualization tools for calculation and demonstration the area of feasible solutions in a simulated three component system. The effect of selectivity and local rank constraints on rotational ambiguity in the results of self modeling curve resolution methods is the focus. Copyright © 2013 John Wiley & Sons, Ltd.