| 一类广义对称约束条件下矩阵值函数的优化问题 |
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| 引用本文： | 代丽芳,梁茂林.一类广义对称约束条件下矩阵值函数的优化问题[J].天水师范学院学报,2014,34(5):4-6. |
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| 作者姓名： | 代丽芳 梁茂林 |
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| 作者单位： | 天水师范学院数学与统计学院,甘肃天水,741001 |
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| 基金项目： | 天水师范学院中青年教师科研资助项目“矩阵值函数优化问题及其应用” |
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| 摘 要： | 运用分块矩阵的初等变换方法,分别讨论了Hermite反射矩阵和Hermite斜反射矩阵约束条件下矩阵值函数A-BXB＊的极大极小惯性问题,进而得到了相应的极值表达式.
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| 关 键 词： | 矩阵值函数 广义自反矩阵 Hermite反射矩阵 Hermite斜反射矩阵 极大极小惯性 |
A Class of Optimization Problems of Matrix-valued Function with Generalized Symmetric Constraints |
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| Dai Lifang,Liang Maolin.A Class of Optimization Problems of Matrix-valued Function with Generalized Symmetric Constraints[J].Journal of Tianshui Normal University,2014,34(5):4-6. |
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| Authors: | Dai Lifang Liang Maolin |
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| Institution: | (School of Mathematics ＆ Statistics, Tianshui Normal University, Tianshui Gansu 741001, China) |
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| Abstract: | By using the block matrix elementary transformations,the Max-min problems on the inertias of the ma-trix-valued function＊A-BXB under Hermitian generalized reflective and ant-reflective constraints are,respective-ly,discussed,and the corresponding extremal expressions of which are derived. |
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| Keywords: | Matrix-valued function generalized reflection matrices Hermitian generalized reflective matrices Hermitian generalized skew-reflective matrices minimal and maximal ineritas |
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