非负矩阵的基本性质研究

摘要

通过代数的方法对非负矩阵的性质进行了进一步的研究。对非负矩阵的幂次的性质进行了讨论,随后给出了非负矩阵一些性质的刻画,并给出了一些例子,以加强对非负矩阵性质的理解;研究了关于正矩阵的最大特征值和最大行和与最小行和之间的一个关系%Some properties of nonnegative matrix are further explored by using algebraic method.Firstly,some properties of the nonnegative matrix power are discussed.Secondly,some characterizations of nonnegative matrix are given and some examples are given to strengthen the understanding on the properties of nonnegative matrix.At last,some results on the relationship between the biggest positive eigenvalue and maximum line and minimum line are researched.