| 完全正矩阵的整数分解 |
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| 引用本文： | 徐常青. 完全正矩阵的整数分解[J]. 数学研究及应用, 2003, 23(2): 349-354 |
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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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| 基金项目： | 安徽省自然科学基金资助项目(010460101) |
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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为元素非负矩阵,B的最小可能列数称为A的分解指数.本文考察低阶双非负矩阵在整数环上的完全正分解及其分解指数.
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| 关 键 词： | 矩阵 完全正 整数分解 |
| 文章编号： | 1000-341X(2003)02-0349-06 |
| 收稿时间： | 2000-05-15 |
| 修稿时间： | 2000-05-15 |
Factorizations of Completely Positive Matrices over Integers |
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| XU Chang-qing. Factorizations of Completely Positive Matrices over Integers[J]. Journal of Mathematical Research with Applications, 2003, 23(2): 349-354 |
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| Authors: | XU Chang-qing |
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| Affiliation: | Dept. of Math.; Anhui University; Hefei; China |
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| Abstract: | An n×n matrix A is said to be completely positive if A can be factored as A = BBT, where B is an n×m nonnegative matrix. The smallest such number m is called the factorization index of A; A is called doubly nonnegative if it is entrywise nonnegative and positive semidefinite as well. The paper concerns completely positive factorizations of matrices (with integeral entries) in CP, over integers and the related factorization index. |
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| Keywords: | matrix completely positive factorization over integers factorization index |
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