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Orthosymmetric Block Reflectors


Singer, Sanja; Singer, Saša
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)


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


Projekt / tema
037-1193086-2771 - Numeričke metode u geofizičkim modelima (Saša Singer, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

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


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