| 非负对称符号模式的惯量集(英文) |
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| 引用本文： | 刘颖,马红平,苗正科.非负对称符号模式的惯量集(英文)[J].东北数学,2008,24(4):311-318. |
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| 作者姓名： | 刘颖 马红平 苗正科 |
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| 作者单位： | Department of Mathematics and Statistic;Lixin University of Commerce;Shanghai;201620;School of Mathematical Sciences;Xuzhou Normal University;Xuzhou;Jiangsu;221116; |
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| 基金项目： | The NSF(10871188)of China; the NSF(KB2007030)of Jiangsu Province; the NSF(07KJD110702)of University In Jiangsu Province. |
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| 摘 要： | For a symmetric sign pattern S1 the inertia set of S is defined to be the set of all ordered triples si（S） = {i（A） ： A = A^T ∈ Q（S）} Consider the n × n sign pattern Sn, where Sn is the pattern with zero entry （i,j） for 1 ≤ i = j ≤ n or｜i -j｜=n- 1 and positive entry otherwise. In this paper, it is proved that si（Sn） = {（n1, n2, n - n1 - n2）｜n1≥ 1 and n2 ≥ 2} for n ≥ 4.
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| 关 键 词： | 非负对称符号模式 惯量集 矩阵论 数学分析 |
Inertia Set of a Nonnegative Symmetric Sign Pattern |
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| LIU Ying.Inertia Set of a Nonnegative Symmetric Sign Pattern[J].Northeastern Mathematical Journal,2008,24(4):311-318. |
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| Authors: | LIU Ying |
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| Institution: | [1]Department of Mathematics and Statistic, Lixin University of Commerce, Shanghai, 201620 [2]School of Mathematical Sciences, Xuzhou Normal University, Xuzhou, Jiangsu, 221116 |
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| Abstract: | sign pattern, symmetric sign pattern, inertia, inertia set |
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| Keywords: | sign pattern symmetric sign pattern inertia inertia set2000 MR subject classification:15A18 15A48 05C50 |
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