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Journal of Applied Mathematics and Computing

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04-11-2017 | Original Research

A note on quaternion matrices and split quaternion matrix pencils

Author: Istkhar Ali

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2018

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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.

previous article Structure-preserving model reduction of second-order systems by Krylov subspace methods

next article Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation

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Title: A note on quaternion matrices and split quaternion matrix pencils
Author: Istkhar Ali
Publication date: 04-11-2017
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2018
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-017-1147-7

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