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Closed Access item Application of non-linear optimization methods to the estimation of multivariate curve resolution solutions and of their feasible band boundaries in the investigation of two chemical and environmental simulated data sets

Authors:Tauler Ferré, Romà
Keywords:Multivariate curve resolution (MCR), Rotation ambiguities, Feasible band boundaries, Non-linear constrained optimization
Issue Date:10-Jan-2007
Publisher:Elsevier
Citation:Analytica Chimica Acta 595(1-2): 289-298 (2007)
Abstract:Although alternating least squares algorithms have revealed extremely useful and flexible to solve multivariate curve resolution problems, other approaches based on non-linear optimization algorithms using non-linear constraints are possible. Once the subspaces defined by PCA solutions are identified, appropriate rotation and perturbation of these solutions can produce solutions fulfilling the constraints obeyed by the physical nature of the investigated systems. In order to perform such a rotation, an optimization algorithm based in the fulfilment of constraints and some examples of application in chemistry and environmental chemistry are given. It is shown that the solutions obtained either by alternating least squares or by the new proposed algorithm are rather similar and that they are both within the boundaries of the band of feasible solutions obtained by an algorithm previously developed to estimate them.
Description:10 pages, 4 figures, 3 tables.-- PMID: 17606012 [PubMed].-- Printed version published Jul 9, 2007.
Issue title: Papers presented at the 10th International Conference on Chemometrics in Analytical Chemistry - CAC 2006 (Campinas, Brazil, Sep 10-14, 2006).
Publisher version (URL):http://dx.doi.org/10.1016/j.aca.2006.12.043
URI:http://hdl.handle.net/10261/10698
ISSN:0003-2670
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