An algebraic computational approach to the identifiability of Fourier models

被引：4

作者：

Caboara, M ^{[1
]}

Riccomagno, E

机构：

[1] Univ Pisa, Dipartimento Matemat, I-56100 Pisa, Italy

[2] Univ Warwick, Dept Stat, Coventry CV4 7AL, W Midlands, England

来源：

JOURNAL OF SYMBOLIC COMPUTATION | 1998年 / 26卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1006/jsco.1998.0209

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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.

引用

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页码：245 / 260

页数：16

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