Pregled bibliografske jedinice broj: 362186
Orthosymmetric Block Reflectors
Orthosymmetric Block Reflectors // Linear Algebra and Its Applications, 429 (2008), 5-6; 1354-1385 doi:10.1016/j.laa.2008.04.008 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 362186 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Orthosymmetric Block Reflectors
Autori
Singer, Sanja ; Singer, Saša
Izvornik
Linear Algebra and Its Applications (0024-3795) 429
(2008), 5-6;
1354-1385
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Householder transformation; reflector; $J$-reflector; block $J$-reflector; scalar product; orthosymmetric; QR factorization
Sažetak
We develop a general theory of reflectors and block reflectors in a class of non-Euclidean scalar product spaces generated by orthosymmetric scalar product matrices $J$. These $J$-reflectors are generalizations of ordinary Householder transformations, and we show that they can always be expressed in a Householder-like representation. Reflection and mapping properties of $J$-reflectors are completely described. Block $J$-reflectors can be used for block annihilation in QR-like factorizations, where $Q$ is $J$-unitary and $R$ is block upper triangular.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-1193086-2771 - Numeričke metode u geofizičkim modelima (Singer, Saša, MZOS ) ( CroRIS)
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
