| 约束矩阵方程的解的表示及行列式公式 |
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| 引用本文： | 陈永林. 约束矩阵方程的解的表示及行列式公式[J]. 应用数学学报, 1995, 18(1): 65-73 |
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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 |
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| 摘 要： | 本文利用Ｂｏｔｔ－Ｄｕｆｆｉｎ逆导出约束矩阵方程的唯一解或通解的表示及其较为简洁的行列式公式，并由之给出了某些特殊矩阵方程与约束性方程组的解以及几个重要广义逆矩阵的表示及其较是洁的行列式公式，我们的结果改进与推广了文（２－１１，１４，１５）中的有关结果。
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| 关 键 词： | 约束矩阵方程 广义逆 行列式公式 解 |
EXPRESSIONS AND DETERMINANTAL FORMULAS FOR SOLUTION OF A RESTRICTED MATRIX EQUATION |
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| CHEN YONGLIN. EXPRESSIONS AND DETERMINANTAL FORMULAS FOR SOLUTION OF A RESTRICTED MATRIX EQUATION[J]. Acta Mathematicae Applicatae Sinica, 1995, 18(1): 65-73 |
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| Authors: | CHEN YONGLIN |
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| Abstract: | In this paper using the Bott-Duffin inverse we derive expressions and more condensed determinantal formulas for the unique solution or the general solution of a restricted matrix equation, and give those for solutions of special kinds of matrix equation and restricted linear equations and for several important generalized inverses of matrices. Our results improved and extended those obtained in References [2-11, 14, 15]. |
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| Keywords: | Restricted matrix equation generalized inverses of matrices determinantal formula |
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