非奇H-矩阵的实用性新判定  

New practical determinate conditions for nonsingular H-matrices

作　　者：黄荣[1] 刘建州[1] 

机构地区：[1]湘潭大学数学系,湘潭411105

出　　处：《高校应用数学学报（A辑）》2007年第1期111-119,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(10671164);湖南省教育厅重点科研基金(02A010);面上项目(03C452)

摘　　要：给出了非奇H矩阵几个新的实用性判据,改进了近期的一些结果,并给出相应数值例子来说明结果的有效性.Nonsingular H-matrices play an important role in many fields, but in pratice it is difficult to determine whether a matrix is a nonsingular H-matrix or not. This paper gives some criteria for nonsingular H-matrices, improves and generalizes some related results. Its effecetiveness is illustrated by some numerical examples.

关 键 词：非奇H-矩阵 对角占优 不可约对角占优阵 非零元素链 

分 类 号：O152.21[理学—数学]