非奇异M-矩阵的新判定算法  

A New Criteria Algorithm for Nonsingular M-matrices

作　　者：张宁[1] 王亚强[1] 赵姣珍[1] 

机构地区：[1]云南大学数学与统计学院,昆明650091

出　　处：《四川理工学院学报（自然科学版）》2009年第5期38-40,共3页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

摘　　要：M-矩阵是可以分解为sI-B这种形式的矩阵,其中B是一个非负矩阵,s≥ρ(B)。M-矩阵在科学研究中有着各种应用,在计算数学和矩阵论的研究中非常重要。文章给出了非奇异M-矩阵的新的判定算法,并用相应的数值实例说明了这个结果的有效性。M- matrix can be decomposed into the form of sl-B , which B is a non-negative matrix. It has a wide variety of applications in scientific research, and it is also very important in the calculation of the studying on mathematics and matrix theory. A new judging criterion for M-matrices is presented. And by using the corresponding numerical example shows the validity of this result.

关 键 词：M-矩阵 算法 对角矩阵 上三角矩阵 

分 类 号：O151.21[理学—数学]