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Practical criteria for nonsingular H-matrices. (Chinese. English summary) Zbl 1340.15037
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
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