| 次正定复矩阵次Schur补的一些性质 |
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| 引用本文： | 郑建青.次正定复矩阵次Schur补的一些性质[J].纯粹数学与应用数学,2014(1):45-52. |
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| 作者姓名： | 郑建青 |
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| 作者单位： | 宁波大学理学院,浙江 宁波315211 |
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| 基金项目： | 宁波大学科研基金（理）（xk11323,XYL1300S）. |
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| 摘 要： | 利用复矩阵的Schur补和次正定性,研究了次正定复矩阵的次Schur补的一些性质,得到了次正定复矩阵次Schur补的几个行列式不等式,将相关文献的相应结果由次正定次Hermite矩阵推广到次正定复矩阵.
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| 关 键 词： | 次正定复矩阵 次Schur补 次正定次Hermite矩阵 共轭次转置矩阵 |
Some properties for sub-Schur complement of the subdefinite complex matrix |
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| Zheng Jianqing.Some properties for sub-Schur complement of the subdefinite complex matrix[J].Pure and Applied Mathematics,2014(1):45-52. |
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| Authors: | Zheng Jianqing |
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| Institution: | Zheng Jianqing (College of Science, Ninigbo University, Ningbo 315211, China) |
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| Abstract: | Using the complex matrix property of Schur complement and subdefiniteness,Some complex matrix properties of sub-Schur complement are discussed,and its several determinant inequalities are obtained.The relative results of subdefinite sub-Hermite matrix in reference have been extended to subdefinite complex matrix. |
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| Keywords: | subdefinite complex matrix sub-Schur complement subdefinite sub-Hermite matrix conjugate sub-transpose matrix |
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