| 矩阵方程X^＊AX=B的反问题 |
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| 引用本文： | 张琴.矩阵方程X^＊AX=B的反问题[J].吉林建筑工程学院学报,1996(4):39-41. |
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| 作者姓名： | 张琴 |
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| 作者单位： | 基础部 |
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| 摘 要： | 本利用分块矩阵的复正定性。讨论了矩阵方程X^*AX=B的反问题有复正定矩阵解的充要条件，进而给出其解的形式。
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| 关 键 词： | 矩阵方程 反问题 复正定矩阵 半正定Hermite矩阵 |
Inverse Problem of Matrix Equation X AX=B |
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| Zhang Qin.Inverse Problem of Matrix Equation X AX=B[J].Journal of Jilin Architectural and Civil Engineering,1996(4):39-41. |
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| Authors: | Zhang Qin |
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| Affiliation: | Department of Basic Courses |
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| Abstract: | In this paper,author discusses the necessary and sufficient conditions for the positive definite complex matrix solution of the inverse problem of matrix equation XAX=B with the positive definite of the partition complex matrices,moreover,gives out the expression of the solution. |
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| Keywords: | positive definite complex matrix positive semidefinite Hermite matrix inverse problem of X~*AX=B |
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