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
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.
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