一类线性矩阵方程的三对角极小范数最小二乘解

Least Squares Tridiagonal Solutions of A Series of Linear Matrix Equations with the Least Norm

根据三对角矩阵的几何特征,利用矩阵的Kronecker积和Moore-Penrose广义逆,给出一类线性矩阵方程的三对角极小范数最小二乘解的表达式.此外,还给出求解该问题的算法和算例.

According to the geometrical characteristics of the Tridiagonal matrix, we derive the expressions of the least squares tridiagonal solutions of a series of linear matrix equations with the least norm by using Moore- Penrose generalized inverse and the Kronecker product of matrices. In addition, a numerical example is used to show the feasibility of the numerical method.