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Rank determination and analysis of non‐linear processes by global linearizing transformation
Author(s) -
Ferreira Márcia M. C.,
Ferreira Wilson C.,
Kowalski Bruce R.
Publication year - 1996
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/(sici)1099-128x(199601)10:1<11::aid-cem396>3.0.co;2-9
Subject(s) - linearization , transformation (genetics) , rank (graph theory) , mathematics , linear map , set (abstract data type) , algorithm , computer science , nonlinear system , chemistry , pure mathematics , biochemistry , physics , quantum mechanics , combinatorics , gene , programming language
A method of rank determination which can also be used to construct models for some non‐linear processes by means of a global linearizing transformation (GLT) is presented. A test case using the theoretical properties of an ideal gas is analyzed for comparison with the log linearization. A real data set from a Taguchi sensor array is analyzed by the method and the results are compared with previous work. The linearizing transformations are constructed using spline functions for the examples treated in this paper, although other kinds of functions can be used.