【摘要】 约束矩阵方程组在振动理论、结构设计、系统辨识、数学控制理论、振动理论、地质学等诸多领域中有重要的应用价值.分析了矩阵方程组M₁Y₁N₁+M₂Y₂N₂=P₁,M₃Y₁N₃+M₄Y₂N₄=P₂对称解的迭代算法,使用该算法能够自动判断对称解的情况.当矩阵方程组相容时,能够得到矩阵方程组的对称解.更多还原

【Abstract】 Constrained matrix equations have important applications in vibration theory,structural design,system identification,mathematical control theory,vibration theory,geology and many other fields.In this paper,the iterative method for symmetric solutions of matrix equations M₁Y₁N₁+M₂Y₂N₂= P₁,M₃Y₁N₃+M₄Y₂N₄= P₂ is analyzed.When the matrix equations are consistent,the symmetric solutions of the matrix equations can be obtained.更多还原