The Least Squares (Locally) Symmetric Solutions of the Matrix Equation AXA~T+BYB~T+AZB~T=D
Jiang Chun-lin · Journal of Yantai University · 2013
The matrix equation problem has been widely used in many fields such as structure design,system identification,vibration theory and so on.For given matrices,A∈Rm×n,B∈Rm×n,D∈Rm×m,the least squares locally symmetric solutions of the matrix equation AXAT+BYBT+AZBT=D are obtained by using the singular value decomposition and the Kronecker product of matrices.Under certain conditions,we also give the least squares symmetric solutions of the preceding matrix equation.