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On Eigenvalues of Split Quaternion Matrices

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Abstract

The main purpose of this paper is to set a method of finding eigenvalues of split quaternion matrices. In particular, we will give an extension of Gershgorin theorem, which is one of the fundamental theorems of complex matrix theory, for split quaternion matrices.

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Authors and Affiliations

  1. Department of Mathematics, Konya Necmettin Erbakan University, 42060, Konya, Turkey

    Melek Erdoğdu

  2. Department of Mathematics, Akdeniz University, 07058, Antalya, Turkey

    Mustafa Özdemir

Authors
  1. Melek Erdoğdu
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  2. Mustafa Özdemir
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Correspondence to Melek Erdoğdu.

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Erdoğdu, M., Özdemir, M. On Eigenvalues of Split Quaternion Matrices. Adv. Appl. Clifford Algebras 23, 615–623 (2013). https://doi.org/10.1007/s00006-013-0391-7

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  • DOI: https://doi.org/10.1007/s00006-013-0391-7

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