Pregled bibliografske jedinice broj: 1045967
Detecting a hyperbolic quadratic eigenvalue problem by using a subspace algorithm
Detecting a hyperbolic quadratic eigenvalue problem by using a subspace algorithm // Numerical Algorithms, 83 (2020), 2; 767-787 doi:10.1007/s11075-019-00702-0 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1045967 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Detecting a hyperbolic quadratic eigenvalue
problem by using a subspace algorithm
Autori
Miloloža Pandur, Marija
Izvornik
Numerical Algorithms (1017-1398) 83
(2020), 2;
767-787
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Quadratic eigenvalue problem ; Hyperbolic ; Overdamped ; Gap ; Subspace algorithm ; LOBPeCG
Sažetak
We consider the quadratic eigenvalue problem (QEP) Q(λ)x := (λ2M + λD + K)x = 0. A Hermitian QEP is hyperbolic if M is positive definite and (xHDx)2 − 4(xHMx)(xHKx) > 0 for all nonzero vectors x. Although there exist many algorithms for detecting hyperbolicity, most of them are not suitable for large QEPs. Motivated by this, we propose a new basic subspace algorithm for detecting large hyperbolic QEPs. Furthermore, we propose a specialized algorithm and its preconditioned variant. Our algorithms can be easily adapted to detect a large overdamped QEP (a hyperbolic QEP with D positive definite and K positive semidefinite). Numerical experiments demonstrate the efficiency of our specialized algorithms.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku
Profili:
Marija Miloloža Pandur
(autor)
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
