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An algebraic computational approach to the identifiability of Fourier models

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UNSPECIFIED (1998) An algebraic computational approach to the identifiability of Fourier models. JOURNAL OF SYMBOLIC COMPUTATION, 26 (2). pp. 245-260. ISSN 0747-7171

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Abstract

Computer algebra and in particular Grobner bases are powerful tools in experimental design (Pistone and Wynn, 1996, Biometrika 83, 653-666). This paper applies this algebraic methodology to the identifiability of Fourier models. The choice of the class of trigonometric models forces one to deal with complex entities and algebraic irrational numbers. By means of standard techniques we have implemented a version of the Buchberger algorithm that computes Grobner bases over the complex rational numbers and other simple algebraic extensions of the rational numbers. Some examples are fully carried out. (C) 1998 Academic Press.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Q Science > QA Mathematics
Journal or Publication Title: JOURNAL OF SYMBOLIC COMPUTATION
Publisher: ACADEMIC PRESS LTD
ISSN: 0747-7171
Date: August 1998
Volume: 26
Number: 2
Number of Pages: 16
Page Range: pp. 245-260
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/15483

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