On Eigenvalues of Split Quaternion Matrices

Erdogdu M., ÖZDEMİR M.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.23, no.3, pp.615-623, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 3
  • Publication Date: 2013
  • Doi Number: 10.1007/s00006-013-0391-7
  • Journal Name: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.615-623
  • Keywords: Quaternion, Split Quaternion, Quaternion Matrix, ROTATIONS
  • Akdeniz University Affiliated: Yes

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.