Pregled bibliografske jedinice broj: 224196
On eigenvalue and eigenvector estimates for nonnegative definite operators
On eigenvalue and eigenvector estimates for nonnegative definite operators // SIAM journal on matrix analysis and applications, 28 (2006), 4; 1097-1125 doi:10.1137/050626533 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 224196 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On eigenvalue and eigenvector estimates for nonnegative definite operators
Autori
Grubišić, Luka
Izvornik
SIAM journal on matrix analysis and applications (0895-4798) 28
(2006), 4;
1097-1125
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
eigenvalues ; estimation of eigenvalues ; upper and lower bounds ; Variational methods for eigenvalues of operators
Sažetak
We present a perturbation approach to the Rayleigh– Ritz approximations in the sense of Davis, Kahan, and Weinberger. We restrict ourselves to nonnegative definite self-adjoint operators and obtain sharp bounds of relative type for both eigenvalues and eigenvectors. The operators are allowed to have nontrivial null-spaces, and the test spaces need not be contained in the domain of the considered operator.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
0037122
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Luka Grubišić
(autor)
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::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
