非奇异M-矩阵模最小特征值的界  

BOUNDS FOR THE MINIMUM EIGENVALUE OF NONSINGULAR M-MATRIX

作　　者：钟琴[1] 赵春燕[1] 牟谷芳[2] Zhong Qin;Zhao Chunyan;Mou Gufang(Department of Mathematics, Sichuan University Jinjiang College, Pengshan 62086;College of Mathematics and Information Science, Leshan Normal University, Leshan 61400)

机构地区：[1]四川大学锦江学院数学教学部,彭山620860 [2]乐山师范学院数学与信息科学学院,乐山614000

出　　处：《高等学校计算数学学报》2018年第2期110-116,共7页Numerical Mathematics A Journal of Chinese Universities

基　　金：四川省教育厅科研项目(18ZB0364);四川大学锦江学院青年教师科研项目(QNJJ-2017-A09)

摘　　要：1引言与预备知识 非奇异M-矩阵首先是由美国数学家Ostrowski在1937年提出的，这个重要的矩阵类起源于矩阵计算中迭代程序之收敛性研究．非奇异M-矩阵模最小特征值的计算一直是矩阵分析与计算数学领域里的热门课题，近年来受到许多学者的青睐，并取得了一系列的研究结果[1-5]．本文在前人的基础上，给出非奇异M-矩阵模最小特征值的新界值．Computing the bounds for the minimum eigenvalue of a nonsingular M-matrix is an important part in the theory of matrices. It is more practical value if the bounds of the minimum eigenvalue are expressed as a function of the element of a nonsingular M-matrix which is easy to calculate. New bounds for the minimum eigenvalue of a nonsingular M-matrix were obtained by constructing two convergent sequences. The method can easily and tightly get the better two-sided bounds. Numerical example is given to illustrate the effectiveness by comparing with the relevant conclusions.

关 键 词：非奇异M-矩阵 最小特征值 矩阵模 计算数学 矩阵分析 迭代程序 矩阵计算 数学家 

分 类 号：O151.21[理学—数学]