| 摘要: |
| 矩阵由于在众多领域的广泛应用而受到人们的普遍关注.利用具有非零元素链的α 对角占优矩阵和不可约α 对角占优矩阵的一些性质，对已有的一些结果进行了改进与推广并且给出了非奇异〖WTBZ〗H〖WTBX〗 矩阵的新判定准则，最后用数值例子证明了准则的有效性. |
| 关键词: 非零元素链 〖WTBX〗α 对角占优矩阵 不可约矩阵 〖WTBZ〗非奇异〖WTBZ〗H 矩阵 |
| DOI： |
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| New Criteria for Nonsingular H Matrices |
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ZHANG Zheng zheng， ZHANG Juan
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| Abstract: |
| Nonsingular H Matrices have been widely concerned because of their wide application in many fields.In this paper，by using some properties of 〖WTBX〗α〖WTBZ〗 diagonally dominant matrix with a chain of non zero elements and irreducibly 〖WTBX〗α〖WTBZ〗 diagonally dominant matrix，we improved and generalized some results and gave new criteria for nonsingular H Matrices.Finally，a corresponding numerical example is given to illustrate the effectiveness of the new criteria. |
| Key words: a chain of non zero elements α diagonally dominant matrices irreducibility matrix nonsingular H matrices |
