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.
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.
出处
《红河学院学报》
2010年第4期34-36,共3页
Journal of Honghe University
基金
红河学院博硕科研启动项目(XSS08012)
云南省教育厅科研基金项目(09C0206)
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
matrix equation
symmetric semipositive solutions
generalized singular value decomposition
generalized inverse matrix
