Pregled bibliografske jedinice broj: 336353
Subspace gap residuals for Rayleigh-Ritz approximations
Subspace gap residuals for Rayleigh-Ritz approximations // SIAM journal on matrix analysis and applications, 31 (2009), 1; 54-67 doi:10.1137/070689425 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 336353 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Subspace gap residuals for Rayleigh-Ritz approximations
Autori
Bosner, Nela ; Drmač, Zlatko
Izvornik
SIAM journal on matrix analysis and applications (0895-4798) 31
(2009), 1;
54-67
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
eigenvalues ; Rayleigh--Ritz approximation ; singular values ; subspace gap
Sažetak
Large scale eigenvalue and singular value computations are usually based on extracting information from a compression of the matrix to suitably chosen low dimensional subspaces. This paper introduces new a posteriori relative error bounds based on a residual expressed using the largest principal angle (gap) between relevant subspaces. The eigenvector approximations are estimated using subspace gaps and relative separation of the eigenvalues.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372783-2750 - Spektralne dekompozicije - numericke metode i primjene (Drmač, Zlatko, MZOS ) ( CroRIS)
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::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
