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Pregled bibliografske jedinice broj: 575595

Časopis

Autori: Singer, Sanja
Naslov: Orthosymmetric Block Rotations
( Orthosymmetric Block Rotations )
Izvornik: The Electronic Journal of Linear Algebra (1081-3810) 23 (2012); 306-326
Vrsta rada: članak
Ključne riječi: orthosymmetric unitary matrices; orthosymmetric block rotations; generalized polar decomposition; QR-like factorization; test matrix generation
( 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.
Projekt / tema: 037-1193086-2771
Izvorni jezik: eng
Rad je indeksiran u
bazama podataka:
Scopus
Kategorija: Znanstveni
Znanstvena područja:
Matematika
URL Internet adrese: http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol23_pp306-326.pdf
http://www.math.technion.ac.il/iic/ela/Home.html
URL cjelovitog teksta: http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol23_pp306-326.pdf
Časopis izlazi u samo elektroničkom izdanju: DA
Google Scholar: Orthosymmetric Block Rotations
Upisao u CROSBI: venovako@fsb.hr (venovako@fsb.hr), 30. Ožu. 2012. u 20:20 sati



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