CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishComputer algebra and, in particular, Gröbner bases are powerful tools in experimental design [G. Pistone and H. P. Wynn, Biometrika 83 (1996), no. 3, 653--666 MR1423881 ]. 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 Gröbner bases over the complex rational numbers and other simple algebraic extensions of the rational numbers. Some examples are fully worked out.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
| Titolo: | AN ALGEBRAIC COMPUTATIONAL APPROACH TO THE IDENTIFIABILITY OF FOURIER MODELS | |
| Autori: | ||
| Data di pubblicazione: | 1998 | |
| Rivista: | ||
| Abstract: | Computer algebra and, in particular, Gröbner bases are powerful tools in experimental design [G. Pistone and H. P. Wynn, Biometrika 83 (1996), no. 3, 653--666 MR1423881 ]. 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 Gröbner bases over the complex rational numbers and other simple algebraic extensions of the rational numbers. Some examples are fully worked out. | |
| Handle: | http://hdl.handle.net/11567/197562 | |
| Appare nelle tipologie: | 01.01 - Articolo su rivista |
File in questo prodotto:
http://hdl.handle.net/11567/197562
Copyright © 2021