Pregled bibliografske jedinice broj: 442775
Accuracy of the Kogbetliantz Method for Scaled Diagonally Dominant Triangular Matrices
Accuracy of the Kogbetliantz Method for Scaled Diagonally Dominant Triangular Matrices // Applied mathematics and computation, 217 (2010), 8; 3726-3746 doi:10.1016/j.amc.2010.09.020 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 442775 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Accuracy of the Kogbetliantz Method for Scaled Diagonally Dominant Triangular Matrices
Autori
Matejaš, Josip ; Hari, Vjeran
Izvornik
Applied mathematics and computation (0096-3003) 217
(2010), 8;
3726-3746
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
singular values; relative accuracy; Kogbetliantz method
Sažetak
The paper proves that Kogbetliantz method computes all singular values of a scaled diagonally dominant triangular matrix, which can be well scaled from both sides symmetrically, to high relative accuracy. Special attention is paid to deriving sharp accuracy bounds for one step, one batch and one sweep of the method. By a simple numerical test it is shown that the methods based on bidiagonalization are generally not accurate on that class of well-behaved matrices.
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
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
