J4 ›› 2012, Vol. 47 ›› Issue (10): 45-48.

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Solvability of the matrix equation AXB+CXTD=E

ZHAO Lin-lin   

  1. Department of Mathematics, Dezhou University, Dezhou 253023, Shandong, China
  • Received:2011-08-08 Online:2012-11-20 Published:2012-10-26

Abstract:

The problem for the solvability of the matrix equation AXB+CXTD=E is considered by using the Moore—Penrose generalized inverse of the matrix. Some solvability conditions and a general solution to this equation are obtained.

Key words: matrix equation; solvability; symmetric matrix; skew-symmetric matrix

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