Acta mathematica scientia,Series A

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The Skew symmetric Solutions of Linear Matrix Equation B^TXB=D on Some Linear Manifolds

 DENG Yuan-Bei, HU Xi-Yan, ZHANG Lei   

  • Online:2004-08-25 Published:2004-08-25
  • Supported by:

    国家自然科学基金(10171031)资助

Abstract:

This paper discusses the skew symmetric solutions and the skew symmetric opti mal approximation solution of the linear matrix equation B^TXB=D on some  linear manifolds. The expressions of the general solutions and the unique optima l approximation solution to a given matrix X~ are obtained.

Key words: Matrix equation, Linear manifold, Matrix norm, Skew symmetric matrix, Optimal approximation

CLC Number: 

  • 15A24
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