Several Theorems for the Trace of Self-conjugate Quaternion Matrix

Qinglong Hu and Limin Zou

Modern Applied Science, 2008, vol. 2, issue 5, 21

Abstract: 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.

Date: 2008
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