Pregled bibliografske jedinice broj: 49245
Relative perturbation theory for hyperbolic eigenvalue problem
Relative perturbation theory for hyperbolic eigenvalue problem // Linear algebra and its applications, 309 (2000), 57-72 doi:10.1016/S0024-3795(99)00126-3 (međunarodna recenzija, članak, znanstveni)
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Naslov
Relative perturbation theory for hyperbolic
eigenvalue problem
Autori
Slapničar, Ivan ; Truhar, Ninoslav
Izvornik
Linear algebra and its applications (0024-3795) 309
(2000);
57-72
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hyperbolic eigenvalue problem ; perturbation theory
Sažetak
We give relative perturbation bounds for eigenvalues and perturbation bounds for eigenspaces of a hyperbolic eigenvalue problem Hx=Jx, where H is a positive definite matrix and J is a diagonal matrix of signs. We consider two types of perturbations: when a graded matrix H=D*AD is perturbed in a graded sense to H+H=D* (A+A)D, and the multiplicative perturbations of the form H+H= (I+E)*H(I+E). Our bounds are simple to compute, compare well to the classical results, and can be used when analyzing numerical algorithms.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037012
Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Građevinski i arhitektonski fakultet Osijek
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::
- Mathematical Reviews
