| 非负矩阵有非负满秋分解的条件 |
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| 引用本文： | 袁尚明.非负矩阵有非负满秋分解的条件[J].南京理工大学学报(自然科学版),1990(1). |
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| 作者姓名： | 袁尚明 |
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| 作者单位： | 华东工学院应用数学系 |
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| 摘 要： | C.Pyc.Wallacc提出:我们不能确定非负矩阵一定有非负满秩分解。并希望对此作出判定.为此,本文讨论了非负满秩分解的条件,并由此判定非负矩阵一定有非负满秩分解的命题不能成立.即使非负对称阵也未必有非负满秩分解.
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| 关 键 词： | 非负矩阵 非负满秩分解 条件 |
The Condition for a Nonnegative Full Rank Factorization of a Nonnegative Matrix |
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| Yuan Shangming.The Condition for a Nonnegative Full Rank Factorization of a Nonnegative Matrix[J].Journal of Nanjing University of Science and Technology(Nature Science),1990(1). |
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| Authors: | Yuan Shangming |
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| Institution: | Department of Applied Mathematics |
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| Abstract: | C. Pyc. Wallace raised: we were not able to decide that a nonncgativc matrix must have a nonncgativc full rank factorization, and hoped to solve it. In this paper we discuss the condition for a nonncgativc full rank factorization of a nonncgativc matrix. From this we know it is false that a nonncgative matrix must have a nonncgative full rank factorization even if for a nonncgativc symmetric matrix. |
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| Keywords: | nonnegativc matrix nonnegativc full rank faetorization conditioning |
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