Pregled bibliografske jedinice broj: 557783
On a decomposition of partitioned $J$-unitary matrices
On a decomposition of partitioned $J$-unitary matrices // Mathematical Communications, 17 (2012), 1; 265-284 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 557783 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On a decomposition of partitioned $J$-unitary matrices
Autori
Šego, Vedran
Izvornik
Mathematical Communications (1331-0623) 17
(2012), 1;
265-284
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
hyperbolic scalar product; decomposition; 2HSVD; semidefinite $J$-polar decomposition; unitary matrices; matrix root; indefinite QR; hyperbolic CS decomposition
Sažetak
We propose a new decomposition of hyperbolic block-unitary matrices into a product of a hyperbolic block-rotation and a block-diagonal hyperbolic unitary matrix. A similar result is known in the real space equipped with the Euclidean scalar product, but we generalize it to the complex spaces equipped with hyperbolic scalar products. We shall also present an example how such a decomposition might be used to calculate other decompositions with block-operations.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0363078-2776 - Matematičko modeliranje višekriterijskih problema odlučivanja (Čaklović, Lavoslav, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Vedran Šego
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- INSPEC
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
- Science Citation Index Expanded
- Current Mathematical Publications
- Mathematical Review
- MATH on STN International
- CompactMath
- Current Index to Statistics
- Urlich's
- Hrcak
- DOAJ
- SCOPUS
- EBSCO
