几类非奇H-矩阵的行列式估计  

Estimations for Some Nonsingular H-matrices Determinants

作　　者：徐仲[1] 黄政阁 陆全[1] 

机构地区：[1]西北工业大学应用数学系,陕西西安710072

出　　处：《应用数学》2015年第3期692-700,共9页Mathematica Applicata

基　　金：国家自然科学基金(10802068)

摘　　要：非奇H-矩阵在数学物理、控制论、电力系统理论及经济学等许多领域有着重要的研究价值和实用价值.本文利用矩阵逆元素估计、矩阵的逐次降阶法及递归,给出严格对角占优矩阵、广义严格对角占优矩阵等几类非奇H-矩阵的行列式上下界的估计式.改进了已有的一些相关结果,并用数值算例说明文中结果的有效性.The nonsingular H-matrix has important research and practical value in mathematical physics, cybernetics, electric system and economics and many other areas. In this paper, through using estimations of the elements of inverse matrices, successive reduction and recursive methods, upper and lower bounds determinants of strictly diagonally dominant matrices, generalized strictly diagonally domi- nant matrices and other types nonsingular H-matrices are given. Some related results are extended and improved, and some numerical examples are used to show the advantages of the results in this paper.

关 键 词：非奇H-矩阵 逆元素估计 逐次降阶 递归 行列式 

分 类 号：O151.21[理学—数学]