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本文利用矩阵秩的性质和分块矩阵运算技巧对Sylvester不等式进行了研究,给出了等号成立的充要条件,将其做了一定程度的推广,并得到了一些方便应用的充分条件,丰富了矩阵秩的性质。
矩阵秩的Sylvester不等式
【摘 要】
：
本文利用矩阵秩的性质和分块矩阵运算技巧对Sylvester不等式进行了研究,给出了等号成立的充要条件,将其做了一定程度的推广,并得到了一些方便应用的充分条件,丰富了矩阵秩的性质。
【机 构】
：
琼台师范学院数理系
【出 处】
：
中央民族大学学报:自然科学版
【发表日期】
：
2021年3期
【基金项目】
：
国家自然科学基金项目(11771069)。
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