| Digraphs and Inclusion Intervals of Brualdi-type for Singular Values |
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| 引用本文： | Jiong-sheng Li,Kai Yang,Qing-xue WangDepartment of Mathematics,University of Science and Technology of China,Hefei 230026,China. Digraphs and Inclusion Intervals of Brualdi-type for Singular Values[J]. 应用数学学报(英文版), 2002, 18(3): 471-476. DOI: 10.1007/s102550200047 |
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| 作者姓名： | Jiong-sheng Li Kai Yang Qing-xue WangDepartment of Mathematics University of Science and Technology of China Hefei 230026 China |
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| 作者单位： | Jiong-sheng Li，Kai Yang，Qing-xue WangDepartment of Mathematics，University of Science and Technology of China，Hefei 230026，China |
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| 基金项目： | the National Natural Science Foundation of China (No.19971086)，the Doctoral Program Foundation of National Education Department of China. |
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| 摘 要： | A complex matrix A is said to be a matrix realization of the digraph D if D is the associated digraph of A, and A is said to have the property B if every singular value of A is contained in the union of Brualdi-type intervals. A digraph D is said to be a forcible B-digraph if every matrix realization of D has the property B. In this paper, we give a sufficient condition for a matrix to have the property B and characterize the forcible B-digraphs.
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Digraphs and Inclusion Intervals of Brualdi-type for Singular Values |
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| Jiong-sheng Li,Kai Yang,Qing-xue Wang. Digraphs and Inclusion Intervals of Brualdi-type for Singular Values[J]. Acta Mathematicae Applicatae Sinica, 2002, 18(3): 471-476. DOI: 10.1007/s102550200047 |
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| Authors: | Jiong-sheng Li Kai Yang Qing-xue Wang |
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| Affiliation: | (1) Department of Mathematics, University of Science and Technology of China, Hefei 230026, China (E-mail: lijs@ustc.edu.cn), CN |
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| Abstract: | A complex matrix A is said to be a matrix realization of the digraph D if D is the associated digraph of A, and A is said to have the property B if every singular value of A is contained in the union of Brualdi-type intervals. A digraph D is said to be a forcible B-digraph if every matrix realization of D has the property B. In this paper, we give a sufficient condition for a matrix to have the property B and characterize the forcible B-digraphs. |
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| Keywords: | Digraph matrix realization singular value inclusion interval |
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