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中文摘要：
非奇异H矩阵在数学物理、控制论、电力系统理论等领域具有重要的实际应用价值．本文通过递进选取两个正对角矩阵因子的元素，利用不等式的放缩技巧，给出了非奇异H矩阵一类新的判定方法，并将其推广到不可约情形和非零元素链情形．通过比较分析，此判据放宽了对矩阵各行元素的条件限制，并举例说明了此方法的优越性．
英文摘要：
The nonsingular H-matrix is applied widely in mathematical physics, cybernetics and electric system. Applying some techniques of inequalities, we select two positive diagonal matrix factors progressively to obtain some new criteria for nonsingular H-matrices, which is then generalized to the situations of irreducible matrices and matrices with non-zero element chain. Compared to the current criteria, the new criteria relax the condition on the example is used to show the advantages of our results.
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