Pregled bibliografske jedinice broj: 341623
Accuracy of the Jacobi Method on Scaled Diagonally Dominant Symmetric Matrices
Accuracy of the Jacobi Method on Scaled Diagonally Dominant Symmetric Matrices // SIAM Journal on Matrix Analysis and Applications, 31 (2009), 1; 133-153 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 341623 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Accuracy of the Jacobi Method on Scaled Diagonally Dominant Symmetric Matrices
Autori
Matejaš, Josip
Izvornik
SIAM Journal on Matrix Analysis and Applications (0895-4798) 31
(2009), 1;
133-153
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
symmetric matrices; eigenvalues; Jacobi method;
Sažetak
This paper proves that the two-sided Jacobi method computes the eigenvalues of the indefinite symmetric matrix to high relative accuracy, provided that the initial matrix is scaled diagonally dominant. It proves sharp eigenvalue perturbation bounds coming from a single Jacobi step and from the whole sweep defined by the serial pivot strategies.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372783-3042 - Blok dijagonalizacijske metode (Hari, Vjeran, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Ekonomski fakultet, Zagreb
Profili:
Josip Matejaš
(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
- Math. Reviews
