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| Title: | Localization theorems for matrices and bounds for the zeros of polynomials over quaternion division algebra |
| Authors: | Ahmad, Sk. Safique Ali, Istkhar |
| Issue Date: | 2018 |
| Publisher: | University of Nis |
| Citation: | Ahmad, S. S., & Ali, I. (2018). Localization theorems for matrices and bounds for the zeros of polynomials over quaternion division algebra. Filomat, 32(2), 553-573. doi:10.2298/FIL1802553A |
| Abstract: | 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 that, a sufficient condition for the stability of a quaternionic matrix is given that generalizes the stability condition for a complex matrix. Finally, a characterization of bounds is derived for the zeros of quaternionic polynomials. © 2018, University of Nis. All rights reserved. |
| URI: | https://doi.org/10.2298/FIL1802553A https://dspace.iiti.ac.in/handle/123456789/6660 |
| ISSN: | 0354-5180 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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