| Sign Patterns That Allow the Given Matrix |
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| 作者姓名： | 邵燕灵 孙良 |
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| 作者单位： | [1]DepartmentofAppliedMathematics,NorthChinaUniversityofScienceandTechnology,Taiyuan,Shanxi030051,China [2]DepartmentofMathematics,SchoolofScience,BeijingInstituteofTechnology,Beijing100081,China |
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| 基金项目： | ShanxiNaturalScienceFoundation( 2 0 0 1 1 0 0 6 ) |
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| 摘 要： | Let P be a property referring to a real matrix. For a sign pattern A, if there exists a real matrix B in the qualitative class of A such that B has property P, then we say A allows P. Three cases that A allows an M-matrix, an inverse M-matrix and a P0-matrix are considered. The complete characterizations are obtained.
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| 关 键 词： | 符号模式 M-矩阵 逆M-矩阵 P0-矩阵 |
| 收稿时间： | 2002/5/28 0:00:00 |
Sign Patterns That Allow the Given Matrix |
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| SHAO Yan ling and SUN Liang.Sign Patterns That Allow the Given Matrix[J].Journal of Beijing Institute of Technology,2003,12(3):316-318. |
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| Authors: | SHAO Yan ling and SUN Liang |
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| Affiliation: | 1. Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China;Department of Applied Mathematics, North China University of Science and Technology, Taiyuan, Shanxi 030051, China
2. Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | Let P be a property referring to a real matrix. For a sign pattern A, if there exists a real matrix B in the qualitative class of A such that B has property P, then we say A allows P. Three cases that A allows an M matrix, an inverse M matrix and a P 0 matrix are considered. The complete characterizations are obtained. |
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| Keywords: | sign pattern M matrix inverse M matrix P 0 matrix |
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