| 一类矩阵方程的对称半正定解 |
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| 引用本文： | 李迎春,刘志宏.一类矩阵方程的对称半正定解[J].蒙自师范高等专科学校学报,2010,8(4):34-36. |
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| 作者姓名： | 李迎春 刘志宏 |
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| 作者单位： | 红河学院数学学院,云南蒙自661100 |
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| 基金项目： | 红河学院博硕科研启动项目，云南省教育厅科研基金项目 |
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| 摘 要： | 利用广义奇异值分解和广义逆给出了矩阵方程AXAT+BYBT=C有对称半正定解的充要条件及解的表达式.
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| 关 键 词： | 矩阵方程 对称半正定解 广义奇异值分解 广义逆矩阵 |
Symmetric Semipositive Definite Solutions to Matrix Equations |
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| LI Ying-chun,LIU Zhi-hong.Symmetric Semipositive Definite Solutions to Matrix Equations[J].Journal of Mengzi Teachers' College,2010,8(4):34-36. |
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| Authors: | LI Ying-chun LIU Zhi-hong |
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| Institution: | (College of Mathematics of Honghe Univensity,Mengzi 661100,China) |
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| Abstract: | By making use of the generalized singular value decomposition of matrices and the generalized inverse matrix,the necessary and sufficient conditions of the matrix equation AXA^T＋BYB^T=C having the symmetric semipositive solutions and its expression of solutions are derived. |
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| Keywords: | matrix equation symmetric semipositive solutions generalized singular value decomposition generalized inverse matrix |
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