一类四元数矩阵方程最小范数最小二乘解的显式表示
Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations
摘要：
在列行列式和行行列式理论的框架内，我们得到了四元数矩阵方程${\bf A} {\bf X} = {\bf B}$，$ {\bf X} {\bf A} = {\bf B}$和${\bf A} {\bf X} {\bf B} = {\bf D} $的最小范数最小二乘解的显式表示公式（类似于克拉姆法则）.
英文摘要：
Within the framework of the theory of the column and row determinants, we obtain explicit representation formulas (analogs of Cramer's rule) for the minimum norm least squares solutions of quaternion matrix equations ${\bf A} {\bf X} = {\bf B}$, $ {\bf X} {\bf A} = {\bf B}$ and ${\bf A} {\bf X} {\bf B} = {\bf D} $.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
