Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (5): 1298-1306.

• Articles • Previous Articles     Next Articles

Minimization Problem for Hermitian Matrices over the Quaternion Field

  

  1. 1.Department of Mathematics and Physics, Wuyi |University, Guangdong Jiangmen |529020|2.College of Mathematics and Econometrics, Hunan University, Changsha 410082
  • Received:2007-11-27 Revised:2009-04-20 Online:2009-10-25 Published:2009-10-25
  • Supported by:

    湖南省自然科学基金(09JJ6012)和湖南省教育厅科研项目(O1C162)资助

Abstract:

In this paper, the canonical correlation decomposition of quaternion matrices (CCD-Q) is established. Based on the CCD-Q, GSVD-Q, and the projection theorem in the finite dimensional inner product space, the expression of
minimization problem for Hermitian matrices associated with the quaternion matrix equation AXB=C is derived.

Key words: Quaternion matrix equation, Minimization problem, CCD-Q, GSVD-Q

CLC Number: 

  • 65F05
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