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Several Theorems for the Trace of Self-conjugate Quaternion Matrix

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Listed:
  • Qinglong Hu
  • Limin Zou

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.

Suggested Citation

  • Qinglong Hu & Limin Zou, 2008. "Several Theorems for the Trace of Self-conjugate Quaternion Matrix," Modern Applied Science, Canadian Center of Science and Education, vol. 2(5), pages 1-21, September.
    • Handle: RePEc:ibn:masjnl:v:2:y:2008:i:5:p:21
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    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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