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.
EnglishThe normal equations constructed by a Toeplitz matrix are studied, in order to find a suitable preconditioner related to the discrete sine transform. New results are given about the structure of the product of two Toeplitz matrices, which allow the CGN method to achieve a superlinear rate of convergence. This preconditioner outperforms the circulant one for the iterative solution of Toeplitz least-squares problems; such strategy can also be applied to nonsymmetric linear systems. A block generalization is discussed.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
| Titolo: | Solution of Toeplitz normal equations by sine transform based preconditioning | |
| Autori: | ||
| Data di pubblicazione: | 1998 | |
| Rivista: | ||
| Abstract: | The normal equations constructed by a Toeplitz matrix are studied, in order to find a suitable preconditioner related to the discrete sine transform. New results are given about the structure of the product of two Toeplitz matrices, which allow the CGN method to achieve a superlinear rate of convergence. This preconditioner outperforms the circulant one for the iterative solution of Toeplitz least-squares problems; such strategy can also be applied to nonsymmetric linear systems. A block generalization is discussed. | |
| Handle: | http://hdl.handle.net/11567/193044 | |
| Appare nelle tipologie: | 01.01 - Articolo su rivista |
File in questo prodotto:
http://hdl.handle.net/11567/193044
Copyright © 2021