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In this paper, we present the concept of perturbation bounds for the right eigenvalues of a quaternionic matrix. In particular, a Bauer-Fike-type theorem for the right eigenvalues of a diagonalizable quaternionic matrix is derived. In addition, pertu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbc92416babbfcf54d09ccc907467926
https://www.bib.irb.hr/1111331
https://www.bib.irb.hr/1111331
Autor:
Istkhar Ali, Sk. Safique Ahmad
Publikováno v:
Filomat. 32:553-573
In this paper, we derive Ostrowski and Brauer type theorems for the left and right eigenvalues of a quaternionic matrix. Generalizations of Gerschgorin type theorems are discussed for the left and the right eigenvalues of a quaternionic matrix. After
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::13c78c2535642049ecaf00aaef15833c
https://doi.org/10.2298/fil1802553a
https://doi.org/10.2298/fil1802553a
Autor:
Istkhar Ali
Publikováno v:
Journal of Applied Mathematics and Computing. 58:323-334
In this paper, localization theorems for left and right eigenvalues of a quaternion matrix are presented. Some differences between quaternion matrices and split quaternion matrices are summarized. A counter example for Gerschgorin theorems for left a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5cf9e6ae4e0c0d259886ddfb4dae889e
https://doi.org/10.1007/s12190-017-1147-7
https://doi.org/10.1007/s12190-017-1147-7
Autor:
Istkhar Ali, Ninoslav Truhar
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68702e284fd6e03bd1ef2ff71376575f
https://doi.org/10.1007/s00006-019-0998-4
https://doi.org/10.1007/s00006-019-0998-4
Autor:
Istkhar Ali, Sk. Safique Ahmad
Publikováno v:
Advances in Applied Clifford Algebras. 26:1095-1125
Localization theorems are discussed for the left and right eigenvalues of block quaternionic matrices. Basic definitions of the left and right eigenvalues of quaternionic matrices are extended to quaternionic matrix polynomials. Furthermore, bounds o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bab0d451db82d668105449798b02b5b3
https://doi.org/10.1007/s00006-016-0640-7
https://doi.org/10.1007/s00006-016-0640-7