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Pregled bibliografske jedinice broj: 362186

Časopis

Autori: Singer, Sanja; Singer, Saša
Naslov: Orthosymmetric Block Reflectors
( Orthosymmetric Block Reflectors )
Izvornik: Linear Algebra and Its Applications (0024-3795) 429 (2008), 5-6; 1354-1385
Vrsta rada: članak
Ključne riječi: Householder transformation; reflector; $J$-reflector; block $J$-reflector; scalar product; orthosymmetric; QR factorization
( 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.
Projekt / tema: 037-1193086-2771
Izvorni jezik: eng
Rad je indeksiran u
bazama podataka:
Current Contents Connect (CCC)
Scopus
SCI-EXP, SSCI i/ili A&HCI
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Kategorija: Znanstveni
Znanstvena područja:
Matematika
URL Internet adrese: http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6V0R-4SNHP5D-1-1&_cdi=5653&_user=3875467&_orig=browse&_coverDate=09%2F01%2F2008&_sk=995709994&view=c&wchp=dGLzVzz-zSkzV&md5=c2dc8b5bbc39eb5abca58b02c7017c96&ie=/sdarticle.pdf
Broj citata:
Altmetric:
DOI: 10.1016/j.laa.2008.04.008
URL cjelovitog teksta:
Google Scholar: Orthosymmetric Block Reflectors
Upisao u CROSBI: ssinger@fsb.hr (ssinger@fsb.hr), 13. Srp. 2008. u 18:58 sati



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