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Treatment of multiexponential decay data by the method of zero determinants
Author(s) -
Szamosi Janos,
Schelly Z. A.
Publication year - 1984
Publication title -
journal of computational chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.907
H-Index - 188
eISSN - 1096-987X
pISSN - 0192-8651
DOI - 10.1002/jcc.540050209
Subject(s) - overdetermined system , zero (linguistics) , smoothing , set (abstract data type) , exponential function , exponential decay , matrix (chemical analysis) , data set , mathematics , computer science , chemistry , physics , mathematical analysis , statistics , chromatography , artificial intelligence , quantum mechanics , philosophy , linguistics , programming language
The principles of a new method, the method of zero determinants, are described which can be used for the determination of the number of exponentials in accurate, multiexponential decay curves, as well as for the smoothing of multiexponential experimental data. It is based on the idea that the determinant of an overdetermined data matrix for accurate data is zero. The method is not limited by mathematical approximations, and thus uncovers the decay curve hidden in the data set.