Chinese Quarterly Journal of Mathematics ›› 2002, Vol. 16 ›› Issue (4): 62-68.

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The Necessary and Sufficient Conditions for Two Kinds of Matrix Equtions Having Semipositive Subdefinite Solutions 

  

  1. 湖南师范大学数学系 湖南长沙410081 
  • Received:1997-05-22 Online:2002-12-30 Published:2024-05-21
  • About author:HE Chu-ning(1959-),female,native of Changsha,Hunan,an associate professor of Hunan Normal University,engages in matrix eqution theory and its applications.

Abstract: 本文给出了矩阵方程 (Ⅰ )AXAT+BYBT =C ,(Ⅱ ) (ATXA ,BTZB) =(C ,D)有亚半正定解的充要条件. 

Key words:  , 亚半正定, 对称正定, 广义奇异值分解,  ,

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