| 关于完全正矩阵的几点注记 |
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| 引用本文： | 徐常青.关于完全正矩阵的几点注记[J].安徽师范大学学报(自然科学版),1999(1):1. |
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| 作者姓名： | 徐常青 |
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| 作者单位： | 安徽大学数学系,安徽,合肥,230039 |
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| 摘 要： | ｎ阶矩阵Ａ称为完全正的，如果Ａ有分解：Ａ＝ＢＢｔ，其中Ｂ为（不必方）元素非负矩阵．Ｂ的最小可能列数称为Ａ的分解指数．本文给出了一个５×５阶双非负矩阵Ａ为完全正的充分条件．
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| 关 键 词： | 双非负矩阵 完全正矩阵 分解指数 |
| 修稿时间： | 1998-05-26 |
REMARKS ON COMPLETELY POSITIVE MATRICES |
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| XU Chang-qing.REMARKS ON COMPLETELY POSITIVE MATRICES[J].Journal of Anhui Normal University(Natural Science Edition),1999(1):1. |
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| Authors: | XU Chang-qing |
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| Abstract: | The paper gives out a sufficient condition for a doubly nonnegative matrix of order 5 to be completely positive. Also we investigate completely positive factorizations on the integer rings Z + for the doubly nonnegative matrices of order 2 and order 3(with the determination of their factorization index). |
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| Keywords: | completely positive matrix doubly nonnegative matrix factorization index |
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