M矩阵Fan乘积行列式下界估计

发布时间：2018-03-12 21:18

本文选题：M矩阵　切入点：Hadamard乘积　出处：《河南科技大学学报(自然科学版)》2017年06期 　论文类型：期刊论文

【摘要】：针对M矩阵Fan乘积行列式的计算问题,结合M矩阵Hadamard乘积行列式的估计式,给出了M矩阵Fan乘积行列式下界的几个估计。对这些结果进行了比较和推广,并给出了相应的算例。研究结果表明:采用矩阵的顺序主子式替代矩阵元素后行列式多一正项,下界变大,结论更精确,有利于M矩阵Fan乘积行列式的计算。
[Abstract]:In view of the problem of calculating the determinant of M matrix Fan product, combined with the estimation of M matrix Hadamard product determinant, several estimates of lower bound of M matrix Fan product determinant are given, and these results are compared and generalized. A corresponding example is given. The results show that when matrix elements are replaced by matrix elements, the lower bound of determinant becomes larger and the conclusion is more accurate, which is beneficial to the calculation of Fan product determinant of M-matrix.
【作者单位】：河南科技大学数学与统计学院;
【基金】：国家自然科学基金项目(11301152) 河南省教育厅自然科学基金项目(13B110999)
【分类号】：O151.21

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