MMN-1421

Consimilarity of Commutative Quaternion Matrices

Abstract

In this paper, consimilarity of complex matrices is generalized for commutative quaternion matrices. In this regard, coneigenvalue and coneigenvector for commutative quaternion matrices are de ned. Also, the existence of solution to the some commutative quaternion matrix equations is characterized and solutions of these matrix equations are derived by means of real representations of commutative quaternions.


Vol. 16 (2015), No. 2, pp. 965-977
DOI: 10.18514/MMN.2015.1421


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