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| Title: | A note on quaternion matrices and split quaternion matrix pencils |
| Authors: | Ali, Istkhar |
| Keywords: | Computational methods;Mathematical techniques;AND splits;Counter examples;Gerschgorin theorems;Quaternion matrix;Right eigenvalues;Eigenvalues and eigenfunctions |
| Issue Date: | 2018 |
| Publisher: | Springer Verlag |
| Citation: | Ali, I. (2018). A note on quaternion matrices and split quaternion matrix pencils. Journal of Applied Mathematics and Computing, 58(1-2), 323-334. doi:10.1007/s12190-017-1147-7 |
| Abstract: | 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 and right eigenvalues of a split quaternion matrix is given. Finally, a method for finding right eigenvalues of a split quaternion matrix pencil is presented. © 2017, Korean Society for Computational and Applied Mathematics. |
| URI: | https://doi.org/10.1007/s12190-017-1147-7 https://dspace.iiti.ac.in/handle/123456789/6647 |
| ISSN: | 1598-5865 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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