关于M-矩阵Schur积最小特征值的几个新不等式  

Some new inequalities on the minimum eigenvalue of Schur product of M-matrices

作　　者：周平[1] ZHOU Ping(Wenshan University,Wenshan 663099 China)

机构地区：[1]文山学院人工智能学院,云南文山663099

出　　处：《新余学院学报》2023年第3期45-50,共6页Journal of Xinyu University

基　　金：云南省教育厅科研基金项目“几类结构矩阵的Schur补及其相关问题研究”(2022J0949)。

摘　　要：运用非奇异M-矩阵和矩阵Schur积的定义及性质,结合矩阵的特征值包含域定理和不等式放缩技巧,对非奇异M-矩阵和M-矩阵的逆矩阵的Schur积的最小特征值下界做进一步研究,给出其在不同情况下的几个新不等式。新不等式在某些条件下改进了现有文献中的结论,计算简单且更精确,具有一定的优越性。By the use of the definition and properties of nonsingular M-matrices and Schur product of matrices and based on the theorem of eigenvalue containing field of matrix and the technique of inequality scaling,the Schur product of a nonsingular M-matrix and the inverse matrix of M-matrix is further discussed,and some new inequalities on lower bounds are given in different situations.It′s shown that the new inequality in this paper improves the conclusions in the existing literature under some conditions,and these calculations are simple and more precise,and have certain advantages,which is of some advantages.

关 键 词：M-矩阵 Schur积 不等式 最小特征值 

分 类 号：O151.21[理学—数学]