Zhu, Hai; Wang, Jian; Liao, Xiuwu; Xu, Zhong Practical criteria for nonsingular H-matrices. (Chinese. English summary) Zbl 1340.15037 Math. Pract. Theory 44, No. 7, 280-285 (2014). Summary: Nonsingular H-matrices have wide applications in science and engineering; but it is very difficult to determine whether a given matrix is a nonsingular H-matrix or not in practice. In this paper, we give several practical conditions for nonsingular H-matrices by constructing different positive diagonal matrices and applying some techniques of inequalities, which improve and generalize some existing conclusions. Effectiveness of results is illustrated by some numerical examples. MSC: 15B57 Hermitian, skew-Hermitian, and related matrices 65F10 Iterative numerical methods for linear systems Keywords:nonsingular H-matrices; irreducible matrix; nonzero elements chain; numerical examples PDFBibTeX XMLCite \textit{H. Zhu} et al., Math. Pract. Theory 44, No. 7, 280--285 (2014; Zbl 1340.15037)