Pregled bibliografske jedinice broj: 93910
On the quadratic convergence of the Falk-Langemeyer method
On the quadratic convergence of the Falk-Langemeyer method // SIAM journal on matrix analysis and applications, 11 (1991), 1; 84-114 (međunarodna recenzija, članak, znanstveni)
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Naslov
On the quadratic convergence of the Falk-Langemeyer method
Autori
Slapničar, Ivan ; Hari, Vjeran
Izvornik
SIAM journal on matrix analysis and applications (0895-4798) 11
(1991), 1;
84-114
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
generaliyed eigenvalue problem; Jacobi method; quadratic convergence; asymptotic convergence
Sažetak
The Falk-Langemeyer mathod for solving a real definite generalized eigenvalue problem, Ax=\lambda Bx, x\neq 0, is proved to be quadratically convergent under arbitrary cyclic pivot strategy if the eigenvalues of the problem are simple. The term "quadratically convergent" means roughly that the sum of squares of the off-diagonal elements of matrices from the sequence of matrix pairs generated by the method tends to zero quadratically per cycle.
Izvorni jezik
Engleski
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
