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Ax=b在广义正定矩阵类中的反问题
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(12).
作者姓名:傅诒辉  刘小也
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)
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

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
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(12).
Authors:Fu Yihui Inst of Systems Eng  HUST  Wuhan  China Liu Xiaoye
Institution:Fu Yihui Inst. of Systems. Eng.,HUST,Wuhan 430074,China. Liu Xiaoye
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.
Keywords:generalized positive definite matrix  stability  inverse problem of a system of linear equations
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