Solution to a Second Order Matrix Equation

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- Solution to a Second Order Matrix Equation
- Vol. 25, Issue 2, Pages: 29-30(2008)
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- Online First：01 June 2008，
  
  Published：2008
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邱红兵. 一个二次矩阵方程的解[J]. 广东工业大学学报, 2008, 25(2): 29-30.

QIU Hong-bing. Solution to a Second Order Matrix Equation[J]. 2008, 25(2): 29-30.
邱红兵. 一个二次矩阵方程的解[J]. 广东工业大学学报, 2008, 25(2): 29-30. DOI：

QIU Hong-bing. Solution to a Second Order Matrix Equation[J]. 2008, 25(2): 29-30. DOI：

利用矩阵的秩分解

得到了一个二次矩阵方程的通解

圆满解决了廖祖华于1999年提出的公开问题.

With the rank decomposition of matrices

the general solutions to a quadratic matrix equation have been obtained

which satisfacforily resolves the open issue that Liao Zu-hua proposed in 1999.

廖祖华. 体上二次矩阵方程的解[J]. 工科数学. 1999(04)

王松桂,杨振海著.广义逆矩阵及其应用[M]. 北京工业大学出版社, 1996

倪国熙编.常用的矩阵理论和方法[M]. 上海科学技术出版社, 1984

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