Direct trilinear decomposition method

Gui M, Rutan SC, Agbodjan A, Kinetic detection of overlapped amino acids in thin-layer chromatography with a direct trilinear decomposition method, Analytical Chemistry, 1995, 67, 3293-3299. 

Li S, Gemperline PJ, Eliminating complex eigenvectors and eigenvalues in multiway analyses using the direct trilinear decomposition method, Journal of Chemometrics, 1993, 7, 77-88. 

RAFA and GRAM are limited to simultaneous analysis of one standard and one unknown. One way around this limitation is the direct trilinear decomposition (DTLD) [29], Aside from being a rapid method for solving Equation 12.1, DTLD also provides an excellent starting solution for least-squares and iterative methods. 

If the underlying structure of a three-way data set is not trilinear, other three-way data analytical methods exist, but these do not usually result in pure component spectra. However, through application of appropriate constraints, pure component spectra may still be extracted, as argued by de Juan and Tauler.7 By using three-way decomposition methods, the data structure is maintained and used in the model. Interpretation is facilitated by relating the extracted patterns directly to the structure of the data. 

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