Acta mathematica scientia,Series A ›› 2004, Vol. 4 ›› Issue (5): 583-588.

• Articles • Previous Articles     Next Articles

wner Partial Ordering of Quaternion Matrices

 PENG Wa-Jin   

  • Online:2004-07-20 Published:2004-07-20
  • Supported by:

    福建省自然科学基金资助

Abstract:

Let A,B be two positive semidefinite selfconjugate quaternion matricesof order n,“≤〖DD(〗L〖DD)〗” be the L[AKo¨D]wner partial ordering. Inthis paper, the author gives five characterizations of A≤〖DD(〗L〖DD)〗B and two characterizations of A\+2≤〖DD(〗L〖DD)〗B\+2, and also generalizes Liski's  result on L[AKo¨D]wner partial ordering of Hermitian matrices to the quaternion field.

Key words: wner partial ordering, Positive semidefinite selfconjugate quaternion matrix, Selfconjugate quaternion matrix, Square of quaternion matrx, Right eigenvalue

CLC Number: 

  • 15A33
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