Orthosymmetric Block Reflectors (CROSBI ID 144093)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Singer, Sanja ; Singer, Saša
engleski
Orthosymmetric Block Reflectors
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.
Householder transformation; reflector; $J$-reflector; block $J$-reflector; scalar product; orthosymmetric; QR factorization
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Podaci o izdanju
429 (5-6)
2008.
1354-1385
objavljeno
0024-3795
10.1016/j.laa.2008.04.008