| 两类特殊的符号模式矩阵 |
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| 引用本文： | 邵燕灵,高玉斌.两类特殊的符号模式矩阵[J].中北大学学报,2000,21(2):98-101. |
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| 作者姓名： | 邵燕灵 高玉斌 |
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| 作者单位： | 华北工学院,理学系,山西太原,030051,中国科学技术大学,数学系,安徽,合肥,230026 |
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| 摘 要： | 目的研究符号中心矩阵和 L 矩阵. 方法利用组合论和矩阵论方法. 结果和结论给出极小符号中心矩阵的一个刻划定理及符号中心矩阵与 L 矩阵之间的关系. 同时也给出了元素全非零的符号中心矩阵和 L 矩阵中负元个数的上界及其极矩阵的完全刻划.
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| 关 键 词： | 符号模式矩阵 符号中心矩阵 L 矩阵 |
| 修稿时间： | 1999-12-09 |
Two Classes of Sign Pattern Matrices |
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| SHAO Yan-ling,GAO Yu-bin.Two Classes of Sign Pattern Matrices[J].Journal of North University of China,2000,21(2):98-101. |
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| Authors: | SHAO Yan-ling GAO Yu-bin |
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| Abstract: | Aim To study two classes of sign pattern matrices which are L matrices and sign central matrices. Methods By combinatorial and matrix theoretical methods. Results and Conclusion We first give a combinatorial characterization of minimal sign central matrices. Further, a relation of sign central matrices with L matrices be characterized. We also discuss the maximum number of negative entries in entrywise nonzero L matrices and sign central matrices. |
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| Keywords: | sign pattern matrix sign central matrix L matrix |
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