M矩阵Fan乘积行列式下界估计  

Estimations for Lower Bounds of Fan Product Determinant of M Matrices

作　　者：仲从磊[1] 李灵晓[1] 

机构地区：[1]河南科技大学数学与统计学院,河南洛阳471023

出　　处：《河南科技大学学报（自然科学版）》2017年第6期82-85,共4页Journal of Henan University of Science And Technology:Natural Science

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)

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。Aiming at the computing problem of Fan product determinant of M matrices,several estimations for lower bounds of Fan product determinant of M matrices combined with the estimated determinant of Hadamard product of M matrices were given. The results were compared and generalized,and the numerical example was given. The results show that the determinant has a plus positive term after the elements of matrix were replaced by order principal minor determinants. The lower bound becomes larger,and the conclusion is more accurate.The results are benefical to the computation of Fan product determinant of M matrix.

关 键 词：M矩阵 HADAMARD乘积 Fan乘积 行列式 下界 

分 类 号：O241.6[理学—计算数学]