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Pregled bibliografske jedinice broj: 612648

When is the Hermitian/skew-Hermitian part of a matrix a potent matrix?


Ilišević, Dijana; Thome, Nestor
When is the Hermitian/skew-Hermitian part of a matrix a potent matrix? // Electronic journal of linear algebra, 24 (2012), 95-112 (međunarodna recenzija, članak, znanstveni)


Naslov
When is the Hermitian/skew-Hermitian part of a matrix a potent matrix?

Autori
Ilišević, Dijana ; Thome, Nestor

Izvornik
Electronic journal of linear algebra (1081-3810) 24 (2012); 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


Projekt / tema
037-0372784-2757 - Preslikavanja na modulima nad prstenima, apstraktnim i operatorskim algebrama (Dijana Ilišević, )

Ustanove
Prirodoslovno-matematički fakultet, Zagreb

Autor s matičnim brojem:
Dijana Ilišević, (228992)

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka:


  • MathSciNet