Pregled bibliografske jedinice broj: 290415
Bounds on the trace of a solution to the Lyapunov equation with a general stable matrix
Bounds on the trace of a solution to the Lyapunov equation with a general stable matrix // Systems and Control Letters, 56 (2007), 7-8; 493-503 (međunarodna recenzija, članak, znanstveni)
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Naslov
Bounds on the trace of a solution to the Lyapunov equation with a general stable matrix
Autori
Truhar, Ninoslav ; Veselić, Krešimir
Izvornik
Systems and Control Letters (0167-6911) 56
(2007), 7-8;
493-503
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Lyapunov equation; eigenvalue decay rate; ADI-parameters
Sažetak
Some new estimates for the eigenvalue decay rate of the Lyapunov equation \(A X + X A^T = B\) with a low rank right-hand side \(B\) are derived. The new bounds show that the right-hand side \(B\) can greatly influence the eigenvalue decay rate of the solution. This suggests a new choice of the ADI-parameters for the iterative solution. The advantage of these new parameters is illustrated on second order damped systems with a low rank damping matrix.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
235-2352818-1042 - Pasivna kontrola mehaničkih modela (Truhar, Ninoslav, MZOS ) ( CroRIS)
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku
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::
- The INSPEC Science Abstracts series
- Mathematical Reviews
