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Orthosymmetric Block Reflectors (CROSBI ID 144093)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

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

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

Povezanost rada

Matematika

Poveznice
Indeksiranost