An efficient preconditioner for the Chebyshev differencing operator is considered. The corresponding preconditioned eigenvalues are real and positive and lie between 1 and ${\pi / 2}$. An eixpelicit formula for these eigenvalues and the corresponding eigenfunctions is given. The results are generalized to the case of operators related to Chebyshev discretizations of systems of linear differential equations.

A PRECONDITIONING MATRIX FOR THE CHEBYSHEV DIFFERENCING OPERATOR / Funaro, Daniele. - In: SIAM JOURNAL ON NUMERICAL ANALYSIS. - ISSN 0036-1429. - STAMPA. - 24:(1987), pp. 1024-1031. [10.1137/0724067]

### A PRECONDITIONING MATRIX FOR THE CHEBYSHEV DIFFERENCING OPERATOR

#### Abstract

An efficient preconditioner for the Chebyshev differencing operator is considered. The corresponding preconditioned eigenvalues are real and positive and lie between 1 and ${\pi / 2}$. An eixpelicit formula for these eigenvalues and the corresponding eigenfunctions is given. The results are generalized to the case of operators related to Chebyshev discretizations of systems of linear differential equations.
##### Scheda breve Scheda completa Scheda completa (DC)
24
1024
1031
A PRECONDITIONING MATRIX FOR THE CHEBYSHEV DIFFERENCING OPERATOR / Funaro, Daniele. - In: SIAM JOURNAL ON NUMERICAL ANALYSIS. - ISSN 0036-1429. - STAMPA. - 24:(1987), pp. 1024-1031. [10.1137/0724067]
Funaro, Daniele
File in questo prodotto:
Non ci sono file associati a questo prodotto.
##### Pubblicazioni consigliate

I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/761492
• ND
• 27
• 26