| 矩阵方程LX=M与LXK=M的实部有定解 |
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| 引用本文： | 陈永林. 矩阵方程LX=M与LXK=M的实部有定解[J]. 高校应用数学学报(A辑), 2000, 15(1): 6-10 |
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| 作者姓名： | 陈永林 |
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| 作者单位： | 南京师范大学数学系,210097 |
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| 基金项目： | 江苏省教育厅自然科学基金，96029， |
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| 摘 要： | 本文利用矩阵的ＭＰ逆与奇异值分解作为工具，给出了矩方程ＬＸ＝Ｍ与ＬＸＫ＝Ｋ存在实部有定解的充要条件以及这种解的一般形式。
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| 关 键 词： | 实部有定解 矩阵方程 充要条件 |
SOLUTIONS WITH DEFINITE REAL PART FOR MATRIX EQUATIONS LX=M AND LXK=M |
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| Chen Yonglin. SOLUTIONS WITH DEFINITE REAL PART FOR MATRIX EQUATIONS LX=M AND LXK=M[J]. Applied Mathematics A Journal of Chinese Universities, 2000, 15(1): 6-10 |
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| Authors: | Chen Yonglin |
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| Abstract: | By using the Moore|Penrose inverse and the singular value decomposition of matrices, the necessary and sufficient conditions for the existence of the solutions with definite real part for matrix equations LX=M and LXK=M are obtained together with the general forms of such solutions.$$$$ |
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| Keywords: | The Moore-Penrose Inverse Singular Value Decomposition Hermitian Positive Semi-Definite(Positive Definite)Matrix Matrix with Positive Semi-Definite(Positive Definite)Real Part. |
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