Several Theorems for the Trace of Self-conjugate Quaternion Matrix

  •  Qinglong Hu    
  •  Limin Zou    


The purpose of this paper is to discuss the inequalities for the trace of self-conjugate quaternion matrix. We present the inequality for eigenvalues and trace of self-conjugate quaternion matrices. Based on the inequality above, we obtain several inequalities for the trace of quaternion positive definite matrix.

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