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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.
15B57 Hermitian, skew-Hermitian, and related matrices
65F10 Iterative numerical methods for linear systems