数学季刊 ›› 1996, Vol. 11 ›› Issue (4): 81-83.

• • 上一篇    下一篇

A   Necessary  and   Sufficient  Condition  for Solvability of  the  Matrix  Equation   AXB+CYD=E Over  an   Arbitrary     Skew  Field

  

  1. Chenzhou Education College.Chenzhou,423000


  • 收稿日期:1996-01-25 出版日期:1996-12-30 发布日期:2024-12-23

A   Necessary  and   Sufficient  Condition  for Solvability of  the  Matrix  Equation   AXB+CYD=E Over  an   Arbitrary     Skew  Field

  1. Chenzhou Education College.Chenzhou,423000
  • Received:1996-01-25 Online:1996-12-30 Published:2024-12-23

摘要:  A necessary and sufficient condition for the consisten~y of the matrix equation AXB+CYD=E over an arbitrary skew field is given.Thus Roth's equivalence theorem is gener- alized.


关键词:  , skew field, matrix equation, rank

Abstract:  A necessary and sufficient condition for the consisten~y of the matrix equation AXB+CYD=E over an arbitrary skew field is given.Thus Roth's equivalence theorem is gener- alized.

Key words:  , skew field, matrix equation, rank

中图分类号: