Research articles
ScienceAsia 51 (2023): 1-6 |doi:
10.2306/scienceasia1513-1874.2023.080
The weak Nekrasov matrices with the chain condition
Wanfu Tian, Hao Ma, Xu Sun, Shiyun Wang*
ABSTRACT: The nonzero elements chain plays an important role in investigating the non-singularity of matrices. In
1998, Li present a sufficient and necessary condition for a weak Nekrasov matrix to be a nonsingular H-matrix, which is
called ?the chain condition? [Linear Algebra Appl (1998) 281:87?96]. In this paper, we give it an alternative equivalent
version of Li?s chain condition which requires no backgroundofgraphtheory. Adoptingthisnewdescription, wepropose
a newcriterion for nonsingular H-matrices. Some examples are given to show the effectiveness of the proposed results.
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College of Science, Shenyang Aerospace University, Shenyang, Liaoning 110136 China |
* Corresponding author, E-mail: wsy0902@163.com
Received 18 Oct 2024, Accepted 0 0000
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