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Pregled bibliografske jedinice broj: 575595

Orthosymmetric Block Rotations


Singer, Sanja
Orthosymmetric Block Rotations // The Electronic Journal of Linear Algebra, 23 (2012), 306-326 (međunarodna recenzija, članak, znanstveni)


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



POVEZANOST RADA


Projekt / tema
037-1193086-2771 - Numeričke metode u geofizičkim modelima (Saša Singer, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Sanja Singer, (155344)

Časopis indeksira:


  • Scopus


Uključenost u ostale bibliografske baze podataka:


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts