Pregled bibliografske jedinice broj: 1014293
Location of right eigenvalues of quaternionic matrix polynomials
Location of right eigenvalues of quaternionic matrix polynomials // Advances in applied clifford algebras, 29 (2019), 4; 80, 21 doi:10.1007/s00006-019-0998-4 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1014293 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Location of right eigenvalues of quaternionic
matrix polynomials
Autori
Ali, Istkhar ; Truhar, Ninoslav
Izvornik
Advances in applied clifford algebras (0188-7009) 29
(2019), 4;
80, 21
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Quaternionic matrix polynomial ; Quaternionic block companion matrix ; left and right eigenvalues ; Quaternionic polynomial
Sažetak
In this paper, inclusion regions for the right eigenvalues of a quaternionic matrix polynomial are derived from Ostrowski's type theorem for quaternionic block companion matrices. Furthermore, a right spectral radius inequality and its applications for finding bounds for the right eigenvalues of a quaternionic matrix polynomial is presented. Consequently, these bounds give bounds for the zeros of quaternionic polynomials. Finally, bounds on the eigenvalues of complex matrix polynomials are derived. The comparison between the new bounds and some existing bounds have been illustrated with several examples.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2014-09-9540 - Optimizacija parametarski ovisnih mehaničkih sustava (OptPDMechSys) (Truhar, Ninoslav, HRZZ - 2014-09) ( CroRIS)
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku
Profili:
Ninoslav Truhar
(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
