Pregled bibliografske jedinice broj: 129700
On Ritz Approximations for Positive Definite Operators I (Theory)
On Ritz Approximations for Positive Definite Operators I (Theory) // Linear algebra and its applications, 417 (2006), 2-3; 397-422 doi:10.1016/j.laa.2003.08.020 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 129700 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On Ritz Approximations for Positive Definite Operators I (Theory)
Autori
Grubišić, Luka ; Veselić, Krešimir
Izvornik
Linear algebra and its applications (0024-3795) 417
(2006), 2-3;
397-422
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
positive definite operators ; lower bounds ; invariant subspaces ; gap between the subspaces
Sažetak
We give new lower bounds on the Rayleigh--Ritz approximations of a part of the spectrum of an elliptic operator. Furthermore, we present bounds for the accompanying Ritz vectors. The bounds include a form of a relative gap between the Ritz values and the rest of the spectrum of the operator. A model example shows that the obtained bounds may be very sharp.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
0037122
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- INSPEC
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
- ABI/Inform
- Cambridge Scientific Abstracts
- Engineering Information Abstracts
