MB-矩阵子直和仍为MB-矩阵的条件
Conditions That Subdirect Sums of MB-Matrices Is Still MB-Matrices
DOI: 10.12677/PM.2017.76055, PDF, HTML, XML, 下载: 1,614  浏览: 2,051 
作者: 骆 毅*：云南大学数学与统计学院，云南 昆明
关键词: Z-矩阵；非奇异M-矩阵；MB-矩阵；子直和；Z-Matrix； Nonsingular M-Matrix； MB-Matrix； Subdirect Sum
摘要: 通过将MB-矩阵分裂成一个非奇异M-矩阵和一个秩1非负矩阵之和，获得MB-矩阵的子直和仍为MB-矩阵的一些充要条件和充分条件，最后用数值例子对所给结论进行了说明和解释。
Abstract: By splitting an MB-matrix A into a sum of a nonsingular M-matrix and a nonnegative rank 1 matrix, some sufficient and necessary conditions and some sufficient conditions are given such that the subdirect sum of two MB-matrices is still an MB-matrix. Some examples are also given to illustrate the results.
文章引用：骆毅. MB-矩阵子直和仍为MB-矩阵的条件[J]. 理论数学, 2017, 7(6): 422-430. https://doi.org/10.12677/PM.2017.76055

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