Pregled bibliografske jedinice broj: 550389
A contribution to the theory and practice of the block Kogbetliantz method for computing the SVD
A contribution to the theory and practice of the block Kogbetliantz method for computing the SVD // BIT numerical mathematics, 52 (2012), 4; 827-849 doi:10.1007/s10543-012-0388-y (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 550389 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A contribution to the theory and practice of the block Kogbetliantz method for computing the SVD
Autori
Bujanović, Zvonimir ; Drmač, Zlatko
Izvornik
BIT numerical mathematics (0006-3835) 52
(2012), 4;
827-849
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Kogbetliantz method ; singular value decomposition ; convergence
Sažetak
This article studies the convergence and practical implementation of the block version of the Kogbetliantz algorithm for computing the singular value decomposition (SVD) of general real or complex matrices. Global convergence is proved for the singular values and the singular vectors, including the asymptotically quadratic reduction to diagonal form. The convergence can be guaranteed for parallel block pivot strategies as well. This bridges a theoretical gap, and provides solid theoretical basis for parallel implementations of the block algorithm, and provides valuable insights.
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
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
