本文叙述了加权广义逆矩阵的概念。
The concept of weighted generalized inverse matrices is described in this paper.
近年来，矩阵的加权广义逆成了矩阵理论研究的热点，许多学者在这个领域做出了一定的成果，我们也得到了一些有意义的结论。
Recent years, the weighted generalized inverses of matrices become a research hotspot of matrix theory. Many authors made some achievements in this field. We also got some interesting results.
给出了四元数矩阵加权广义逆的表达式，回答了关于四元数矩阵加权（3，4）和（2，4）逆表达式的公开问题。
The expression of the weighted generalized inverse of quaternion matrices are expressed, and the open question on the characterization of the (3,4) and (2,4) inverse are solved.
本文主要研究有关矩阵的加权广义逆，加权极分解和矩阵偏序等方面的问题。
In this thesis, we mainly study problems on weighted generalized inverses, weighted polar decomposition, and partial orderings of matrices.
本文主要研究有关矩阵的加权广义逆，加权极分解和矩阵偏序等方面的问题。
In this thesis, we mainly study problems on weighted generalized inverses, weighted polar decomposition, and partial orderings of matrices.
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