| Taussky定理推广与应用 |
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| 引用本文： | 杜宇辉.Taussky定理推广与应用[J].应用数学学报,2000,23(1):76-81. |
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| 作者姓名： | 杜宇辉 |
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| 作者单位： | 北华大学师范学院数理系,吉林市,132013 |
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| 摘 要： | 本文在Ｃａｓｓｉｎｉ卵形域上推广了Ｔａｕｓｓｋｙ定理。所得结果修正了Ｂｒａｕｅｒ定理，作为应用给出不可约双对角占优矩阵非奇异的充要条件，最后把基本结果推广到分块矩阵上。
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| 关 键 词： | Tausskey定理 不可约矩阵 双对角占优矩阵 |
A GENERALIZATIONS OF TAUSSKY'S THEOREM AND ITS APPLICATIONS |
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| DU YUHUI.A GENERALIZATIONS OF TAUSSKY'S THEOREM AND ITS APPLICATIONS[J].Acta Mathematicae Applicatae Sinica,2000,23(1):76-81. |
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| Authors: | DU YUHUI |
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| Affiliation: | DU YUHUI
(Department of Mathematics, Normal College of Beihua University, Jilin 132013) |
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| Abstract: | In this paper, we obtain Taussky's theorem to Cassini egg region. The result revise Brauser's theorem. As application, we gave sufficient and necessary conditions that the irreducible double-diagonally dominant matrices are nonsingular matrices, and generalize these results to partitioned matrices. |
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| Keywords: | Taussky's theorem Cassini egg region irreducible matrices double-diagonally dominant matrices nonsingular matrices partitioned matrices |
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