Pregled bibliografske jedinice broj: 108188
Quadratic Convergence of Scaled Matrices in Jacobi Method
Quadratic Convergence of Scaled Matrices in Jacobi Method // Numerische Mathematik, 87 (2000), 1; 171-199 doi:10.1007/s002110000167 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 108188 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Quadratic Convergence of Scaled Matrices in Jacobi Method
Autori
Matejaš, Josip
Izvornik
Numerische Mathematik (0029-599X) 87
(2000), 1;
171-199
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
quadratic convergence; scaled matrices
Sažetak
A quadratic convergence bound for scaled Jacobi iterates is proved provided the initial symmetric positive definite matrix has simple eigenvalues. The bound is expressed in terms of the off-norm of the scaled initial matrix and the minimum relative gap in the spectrum. The obtained result can be used to predict the stopping moment in the two-sided and especially in the one-sided Jacobi method.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037012
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, 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::
- Mathematical Reviews
