| 广义逆A_(T,S)~((2))的表示、行列式公式及其应用 |
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| 引用本文： | 陈永林.广义逆A_(T,S)~((2))的表示、行列式公式及其应用[J].南京师大学报,1993(4). |
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| 作者姓名： | 陈永林 |
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| 作者单位： | 南京师大数学系 |
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| 摘 要： | 本文给出了任一复矩阵 A 的广义逆 A_(T,S)~(2)的多种表示及其分量的多种行列式公式,从而得到许多重要的广义逆 A~+,A_(MN)~+,A~(d),A~#,A_(L)~(-1),A_(L)~(+)的多种表示和行列式公式,特别是 A_(MN)~+和 A~(d)的两个更简单的表示式。
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| 关 键 词： | 广义逆 行列式公式 |
Expressions and Determinantal Formulas for the Generalized Inverse A_(T,S)~((2)) and Their Appications |
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| Chen Yonglin.Expressions and Determinantal Formulas for the Generalized Inverse A_(T,S)~((2)) and Their Appications[J].Journal of Nanjing Normal University(Natural Science Edition),1993(4). |
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| Authors: | Chen Yonglin |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper,a numer of expressions and determinantal formulas for the generalizedinverse A_(T,S)~(2) of an arbitrary matrix A are given.These expressions and determinantal formulasall suit for important generalized inverses,for exemple,A~+ A_(MN)~+,A~(d),A~(#),A_(L)~(-1),A_(L)~(+),(AP_T)~+.Moreover,several special expressions and determinantal formulas for A_(MN)~+ and A~(d) areobtained. |
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| Keywords: | Generalized inverse Determinantal formula |
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