| 线性方程组AX＝b反问题特解的计算 |
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| 引用本文： | 张宝善.线性方程组AX＝b反问题特解的计算[J].徐州师范大学学报(自然科学版),1994(1). |
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| 作者姓名： | 张宝善 |
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| 摘 要： | 利用实对称矩阵正定性的一个充要条件，给出线性方程组ＡＸ＝ｂ反问题正定（负定）特解矩阵的计算方法。
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| 关 键 词： | 反问题，正定矩阵，基，线性无关 |
A CALCULATION OF PARTICULAR SOLUTION ON THE INVERSE PROBLEM OF THE LINEAR EQUATION AX=b |
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| Zhang Baoshan.A CALCULATION OF PARTICULAR SOLUTION ON THE INVERSE PROBLEM OF THE LINEAR EQUATION AX=b[J].Journal of Xuzhou Normal University(Natural Science Edition),1994(1). |
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| Authors: | Zhang Baoshan |
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| Institution: | Zhang Baoshan |
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| Abstract: | Using a necessary and sufficient condition of a positive definite matrix,a calculation is given for finding the particular positive definite solution on the inverse problem of linear equations AX=b,where X and b are known nonzero real vectors satisfying the condition XTb>0. |
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| Keywords: | Inverse problem Positive definite matrix Basis Linearly independent |
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