| 符号非异矩阵复推广的ray S*-开拓 |
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| 引用本文： | 李琳.符号非异矩阵复推广的ray S*-开拓[J].海南师范大学学报(自然科学版),2006,19(2):97-103. |
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| 作者姓名： | 李琳 |
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| 作者单位： | 同济大学应用数学系,上海,200092 |
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| 摘 要： | 指出符号非异矩阵(即SNS阵)和S*-阵都是符号矩阵论中的核心研究内容,认为近年来符号矩阵理论的复推广已成为国内外众多学者关注的一个热点.对于作为SNS阵的复推广的DRU阵(即行列式ray唯一矩阵)和作为S*-阵的复推广的ray S*-阵的联系,给出了一个DRU矩阵可以开拓为ray S*-阵的若干充要条件.
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| 关 键 词： | 符号 矩阵 有向图 |
| 文章编号： | 1671-8747(2006)02-0097-07 |
| 修稿时间： | 2006年3月14日 |
Ray S*-extension of the complex generalizations of sign nonsingular matrices |
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| LI Lin.Ray S*-extension of the complex generalizations of sign nonsingular matrices[J].Journal of Hainan Normal University:Natural Science,2006,19(2):97-103. |
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| Authors: | LI Lin |
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| Abstract: | Sign-nonsingular matrices(SNS matrices) and S*-matrices are the key contents in the study of the sign pattern matrix theory.Recently,the complex generalizations of the sign pattern matrix theory have become a heated point concerned by many scholars.In this paper,we mainly studied the relationships between the DRU matrices(as the complex generalizations of SNS matrices) and rayS*-matrices(as the complex generalizations of S*-matrix.),and obtained several necessary and sufficient conditions for a DRU matrix to be able to be extended to a rayS*-matrix. |
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| Keywords: | sign matrix directed graph |
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