Pregled bibliografske jedinice broj: 242903
On Sharp Quadratic Convergence Bounds for the Serial Jacobi Methods
On Sharp Quadratic Convergence Bounds for the Serial Jacobi Methods // Numerische Mathematik, 60 (1991), 375-406 (međunarodna recenzija, članak, znanstveni)
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Naslov
On Sharp Quadratic Convergence Bounds for the Serial Jacobi Methods
Autori
Hari, Vjeran
Izvornik
Numerische Mathematik (0029-599X) 60
(1991);
375-406
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Matrix; eigenvalues; singular values; serial Jacobi method; quadradic convergence
Sažetak
Using a new technique we derive sharp quadratic convergence bounds for the serial symmetric and SVD Jacobi methods. For the symmetric Jacobi method we consider the cases of well and poorely separated eigenvalues. Our result implies the result proposed, but not correctly proved, by Van Kempen. It also extends the well-known result of Wilkinson to the case of multiple eigenvalues.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Vjeran Hari
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- SCI-EXP, SSCI i/ili A&HCI
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
