Padé-type Approximations to the Resolvent of Fractional Powers of Operators

Lidia Aceto, Paolo Novati

Risultato della ricerca: Contributo su rivistaArticolo in rivistapeer review

Abstract

We study a reliable pole selection for the rational approximation of the resolvent of fractional powers of operators in both the finite and infinite dimensional setting. The analysis exploits the representation in terms of hypergeometric functions of the error of the Padé approximation of the fractional power. We provide quantitatively accurate error estimates that can be used fruitfully for practical computations. We present some numerical examples to corroborate the theoretical results. The behavior of rational Krylov methods based on this theory is also presented.

Lingua originaleInglese
Numero di articolo13
RivistaJournal of Scientific Computing
Volume83
Numero di pubblicazione1
DOI
Stato di pubblicazionePubblicato - 1 apr 2020
Pubblicato esternamente

Fingerprint

Entra nei temi di ricerca di 'Padé-type Approximations to the Resolvent of Fractional Powers of Operators'. Insieme formano una fingerprint unica.

Cita questo