Pregled bibliografske jedinice broj: 253561
Relative residual bounds for indefinite Hermitian matrices
Relative residual bounds for indefinite Hermitian matrices // Linear Algebra and its Applications, 417 (2006), 2-3; 466-477 (međunarodna recenzija, članak, znanstveni)
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Naslov
Relative residual bounds for indefinite Hermitian matrices
Autori
Truhar, Ninoslav ; Slapničar, Ivan
Izvornik
Linear Algebra and its Applications (0024-3795) 417
(2006), 2-3;
466-477
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Indefinite Hermitian matrix; Eigenvalues; Perturbation theory; Relative perturbations; Residual bounds
Sažetak
We prove several residual bounds for relative perturbations of the eigenvalues of indefinite Hermitian matrix. The bounds fall into two categories– – the Weyl-type bounds and the Hofmann– Wielandt-type bounds. The bounds are expressed in terms of sines of acute principal angles between certain subspaces associated with the indefinite decomposition of the given matrix. The bounds are never worse than the classical residual bounds and can be much sharper in some cases. The bounds generalize the existing relative residual bounds for positive definite matrices to indefinite case.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Građevinski i arhitektonski fakultet Osijek
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
