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Location of right eigenvalues of quaternionic matrix polynomials (CROSBI ID 267847)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Ali, Istkhar ; Truhar, Ninoslav 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

Podaci o odgovornosti

Ali, Istkhar ; Truhar, Ninoslav

engleski

Location of right eigenvalues of quaternionic matrix polynomials

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.

Quaternionic matrix polynomial ; Quaternionic block companion matrix ; left and right eigenvalues ; Quaternionic polynomial

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Podaci o izdanju

29 (4)

2019.

80

21

objavljeno

0188-7009

1661-4909

10.1007/s00006-019-0998-4

Povezanost rada

Matematika

Poveznice
Indeksiranost