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| 摘要: |
| 本文研究了非负对称矩阵的近似逆矩阵问.利用矩阵S=(si,j)去近似它的逆矩阵方法,获得了近似误差的一个显式上界,并且证明了近似逆的误差对于很大的n一致地具有阶1/(n-1)2. |
| 关键词: 近似误差 逆 对称 非负元 |
| DOI： |
| 分类号:O151.21 |
| 基金项目:Partially Supported by National Natural Science Foundation of China (11271147). |
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| A NOTE ON THE APPROXIMATED INVERSE OF A NON-NEGATIVE SYMMETRIC MATRIX |
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GOU Ting-xun,GAO Xin
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| Abstract: |
| This paper studies the issue of the approximated inverse of nonnegative symmetric matrices. By using the matrix S=(si,j) to approximate its inverse, an explicit bound on the approximation error is obtained, and one conclusion that the inverse is well approximated to the order 1/(n-1)2 uniformly for large n is also proved. |
| Key words: approximation error inverse symmetric positive elements |
