Systems of Matrix Equations over a Central Algebra
Received:February 25, 2000  
Key Words: central algebra   system of matrix equations   per（skew）selfconjugate ma-trix   regular matrix quadruple.  
Fund Project:Supported by the National Natural Science Foundation of China (10071078) and Natural Science Foundation of Shandong Province (Q99A08)
Author NameAffiliation
WANG Qing-wen Dept. of Math.
University of Science and Technology of China
Hefei
China 
LI Shang-zhi Dept. of Math.
University of Science and Technology of China
Hefei
China 
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Abstract:
      Let Ω be a finite dimensional central algebra with an involutorial anti-automorphism and chart Ω≠2.Two systems of matrix equations over Ω are consid-ered.Necessary and sufficient conditions for the existences of general solutions,andper(skew)selfconjugate solutions of the systems are given,respectively.
Citation:
DOI:10.3770/j.issn:1000-341X.2003.01.003
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