Naslov
Orthosymmetric Block Rotations

Autori
Singer, Sanja

Izvornik
The Electronic Journal of Linear Algebra (1081-3810) 23 (2012); 306-326

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
orthosymmetric unitary matrices; orthosymmetric block rotations; generalized polar decomposition; QR-like factorization; test matrix generation

Sažetak
Rotations are essential transformations in many parts of numerical linear algebra. In this paper it is shown that there exists a family of matrices unitary with respect to an orthosymmetric scalar product $J$, that can be decomposed into the product of two $J$-unitary matrices---a block diagonal matrix and an orthosymmetric block rotation. This decomposition can be used for computing various one-sided and two-sided matrix transformations by divide-and-conquer or tree-like algorithms. As an illustration, a blocked version of the QR-like factorization of a given matrix is considered.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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