Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (2): 359-364.

• Articles • Previous Articles     Next Articles

Studies on the Positive Operator Solutions to Operator Equations X+A*X-tA=Q

 YANG Kai-Fan, DU Hong-Ke   

  1. (1. Department of Mathematics, Shaanxi University of Technology, Shaanxi Hanzhong 723001|2. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062)
  • Received:2007-11-26 Revised:2008-12-01 Online:2009-04-25 Published:2009-04-25
  • Supported by:

    国家自然科学基金(10871224)资助

Abstract:

In this paper, the necessary conditions for the existence of positive operator solutions of the operator equation X+A*X-tA=are established. A sufficient and necessary condition for the existence of positive operator solutions for X+A*X-tA=Q is also derived.

CLC Number: 

  • 47A05
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