| Ax＝b在广义正定矩阵类中的反问题 |
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| 引用本文： | 傅诒辉,刘小也. Ax＝b在广义正定矩阵类中的反问题[J]. 华中科技大学学报(自然科学版), 1996, 0(12) |
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| 作者姓名： | 傅诒辉 刘小也 |
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| 作者单位： | 湖北省第一机械工业学校(傅诒辉)，华中理工大学系统工程研究所(刘小也) |
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| 摘 要： | 研究线性方程组Ａｘ＝ｂ的反问题在广义正定矩阵类中的求解，得到了一个简便的充要条件，从而使这类反问题获得了较完满的解决
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| 关 键 词： | 广义正定矩阵；稳定性；反问题 |
The Inverse Problem of Ax=b in the Class of Generalized Positive Definite Matrices |
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| Fu Yihui Inst. of Systems. Eng.,HUST,Wuhan ,China. Liu Xiaoye. The Inverse Problem of Ax=b in the Class of Generalized Positive Definite Matrices[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1996, 0(12) |
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| Authors: | Fu Yihui Inst. of Systems. Eng. HUST Wuhan China. Liu Xiaoye |
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| Affiliation: | Fu Yihui Inst. of Systems. Eng.,HUST,Wuhan 430074,China. Liu Xiaoye |
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| Abstract: | The necessary and sufficient conditions for the solution of the inverse problem of a system of linear equations, Ax=b , in the class of generalized positive definite matrices, are presented. The main results obtained are given and so the inverse problem of Ax=b is more completely solved. |
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| Keywords: | generalized positive definite matrix stability inverse problem of a system of linear equations |
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