Self Modeling Curve Resolution

作者: William H. Lawton , Edward A. Sylvestre

DOI: 10.1080/00401706.1971.10488823

关键词: Kinetic modelMultivariate curve resolutionType (model theory)Resolution (electron density)Pure mathematicsCalculusMathematicsSpectrophotometryPrincipal component analysisSet (abstract data type)

摘要: This paper presents a method for determining the shapes of two overlapping functions f 1(x) and 2(x) from an observed set additive mixtures, [α i + β 2(x); = 1, …, n), functions. type problem arises in fields spectrophotometry, chromatography, kinetic model building, many others. The methods described by this are based on use principal component techniques, produce bands functions, each which contains one unknown, underlying Under certain mild restrictions fj (x), band reduces to single curve, fi (x) completely determined analysis.

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