| 符号非异矩阵的S＊—开拓 |
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| 引用本文： | 贺金陵,郭镜明,邵嘉裕.符号非异矩阵的S＊—开拓[J].同济大学学报(自然科学版),2001,29(4):464-469. |
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| 作者姓名： | 贺金陵 郭镜明 邵嘉裕 |
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| 作者单位： | 同济大学应用数学系, |
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| 基金项目： | 国家自然科学基金资助项目(19831050)；高等学校博士点基金资助项目(2000024705) |
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| 摘 要： | 1984年，V.Klee,R.Lander,R.Manber给出了一个对角元全负的SNS阵A可开拓为S*-阵的一个充分条件，但是这个充分条件不是必要的。在此将给出一个对角元全负的SNS阵可开拓为S*-阵的若干充要条件。这实际上也解决了Shao Jia-yu和Hwang Suk-geun提出的关于nearly L-可开拓阵问题中所给矩阵为方阵的一个重要特殊情形。
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| 关 键 词： | 矩阵 有向图 符号非异矩阵 S＊－开拓 SNS阵 S＊－阵 符号可解法 |
| 文章编号： | 0253-374X(2001)04-0464-06 |
| 修稿时间： | 2000年1月21日 |
S *-matrix and Sign
Nonsingular Matrix |
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| He Jin-ling,GUO Jing-ming,SHAO Jia-yu.S *-matrix and Sign
Nonsingular Matrix[J].Journal of Tongji University(Natural Science),2001,29(4):464-469. |
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| Authors: | He Jin-ling GUO Jing-ming SHAO Jia-yu |
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| Abstract: | The set of real matrices with the same sign pattern as A is called the qualitative class of A,denoted as Q (A).A square real matrix A is called a sign nonsingular matrix (abbreviated SNS matrix),if every matrix in Q (A) is nonsingular.Ais called an S * matrix,if each matrix obtained from A by deleting one of its columns is an SNS matrix.In this paper,we study the relationships between SNS matrix and S * matrix,sign solvable linear systems and sign solvable digraphs.And solvable an important special case of a problem about nearly L matrices proposed by Jia Yu Shao and Suk Geun Hwang. |
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| Keywords: | sign matrice digraph |
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