摘要
针对非奇异M-矩阵A与其逆矩阵的Hadamard积的最小特征值τ(AoA^(-1))的估计问题,利用逆矩阵元素的范围,给出了τ(AoA^(-1)1)上下界的收敛的估计序列.理论证明和数值算例表明所得估计能达到真值且比某些现有结果精确.
For the minimum eigenvalue of the Hadamard product of a nonsingular M- matrix and its inverse, Using the rang of the elements of inverse matrix, several sequences of the upper and lower bounds of the minimum eigenvalue are given. It is proved that these sequences are convergent, and numerical examples are given to show that these sequences could reach the true value of the minimum eigenvalue in some cases. These results in this paper improve some existing results.
出处
《数学的实践与认识》
北大核心
2015年第9期242-249,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(11361074)
