Pregled bibliografske jedinice broj: 3832
On scaled almost diagonal Hermitian matrix pairs
On scaled almost diagonal Hermitian matrix pairs // SIAM journal on matrix analysis and applications, 18 (1997), 4; 1000-1012 doi:10.1137/S0895479894278472 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 3832 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On scaled almost diagonal Hermitian matrix pairs
Autori
Hari, Vjeran ; Drmač, Zlatko
Izvornik
SIAM journal on matrix analysis and applications (0895-4798) 18
(1997), 4;
1000-1012
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
definite matrix pair; eigenvalues; relative bounds
Sažetak
This paper contains estimates concerning the block structure of Hermitian matrices H and M, which make a scaled diagonally dominant definite pair. The obtained bounds are expressed in terms of relative gaps in the spectrum of the pair (H, M) and norms of certain blocks of the matrices DHD and DMD, where D is the square root of the inverse of the diagonal of H or M. If either of the matrices H, M is diagonal, the new results assume simple and applicable form. For scaled diagonally dominant Hermitian matrices, the new estimates compare favourably with the existing ones for accurate location of the smallest eigenvalues.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037012
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
