摘要
利用矩阵的奇异值分解得到Φ=‖ATX+XTA-B‖=min的通解,和矩阵方程ATX+XTA=B有解的充分必要条件并在有解时给出其一般表达式.
By applying the singular value decomposition （SVD） of matrix, we obtain the general form solutions of, and the sufficient and necessary conditions for the existence of solutions about matrix equation. And we present the explicit expression of general solutions.
出处
《佳木斯大学学报（自然科学版）》
CAS
2006年第3期426-427,共2页
Journal of Jiamusi University：Natural Science Edition
关键词
最小二乘解
矩阵方程
奇异值分解
least square solution
matrix equation
singular value decomposition
