Pregled bibliografske jedinice broj: 612648
When is the Hermitian/skew-Hermitian part of a matrix a potent matrix?
When is the Hermitian/skew-Hermitian part of a matrix a potent matrix? // The electronic journal of linear algebra (Print), 24 (2012), s1; 95-112 doi:10.13001/1081-3810.1582 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 612648 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
When is the Hermitian/skew-Hermitian part of a matrix a potent matrix?
Autori
Ilišević, Dijana ; Thome, Nestor
Izvornik
The electronic journal of linear algebra (Print) (1537-9582) 24
(2012), S1;
95-112
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hermitian part ; skew-Hermitian part ; potent matrix ; normal matrix
Sažetak
This paper deals with the Hermitian H(A) and skew-Hermitian part S(A) of a complex matrix A. We characterize all complex matrices A such that H(A), respectively S(A), is a potent matrix. Two approaches are used: characterizations of idempotent and tripotent Hermitian matrices of a special form, and a singular value decomposition of A. In addition, a relation between the potency of H(A), respectively S(A), and the normality of A is also studied.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372784-2757 - Preslikavanja na modulima nad prstenima, apstraktnim i operatorskim algebrama (Ilišević, Dijana, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Dijana Ilišević
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- 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::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
