| H-矩阵的新的判定条件 |
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| 引用本文： | 李艳艳,蒋建新.H-矩阵的新的判定条件[J].昆明师范高等专科学校学报,2012(6):16-17,31. |
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| 作者姓名： | 李艳艳 蒋建新 |
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| 作者单位： | 文山学院数理系,云南文山663000 |
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| 摘 要： | 研究了在生物学、经济学、计算数学等许多学科中都有重要应用的非奇异H-矩阵的判断问题，在H-矩阵的一类子矩阵a1-严格对角占优矩阵下，借助其中的重要定理a1-严格对角占优定理，并利用构造性证明法得到了广义严格对角占优矩阵（非奇异H-矩阵）新的简洁实用的判据，同时数值算例也表明此方法的有效性．
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| 关 键 词： | 广义严格对角占优矩阵 非奇异H-矩阵 严格a1-对角占优矩阵 正对角矩阵 |
The New Criteria for H- Matrices |
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| LI Yan-yan,JIANG Jian-xin.The New Criteria for H- Matrices[J].Journal of Kunming Teachers College,2012(6):16-17,31. |
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| Authors: | LI Yan-yan JIANG Jian-xin |
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| Institution: | ( Department of Mathematics and Physics, Wenshan University, Yunnan Wenshan 663000, China) |
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| Abstract: | Research in biology, economics, mathematics and many other disciplines have an important application of nonsingular H - matrix judgment problem, in the H - matrix a subclass of matrix a1 - strictly diagonally dominant matrix, with one of the important theorem a1 - strictly diagonally dominant theorem by using the construction certificate is obtained by the method of generalized strictly diagonally dominant matrix （nonsingular H- matrix）new concise and practical criterion. |
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| Keywords: | generalized strictly diagonally dominant matrix nonsingular H- matrix strictly og1 --diagonally dominant matrix positivediagonal matrix |
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