| 非齐次线性方程组的半正解 |
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| 引用本文： | 姜殿玉.非齐次线性方程组的半正解[J].大学数学,1999(4). |
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| 作者姓名： | 姜殿玉 |
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| 作者单位： | 淮海工学院基础科学系!连云港222005 |
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| 摘 要： | 线性方程组的不带负分量的非零解向量称为半正解.本文给出非齐次线性方程组AX= b (b≠0)的半正解结构,进而得到该类线性方程组有半正解的充分条件和必要条件以及唯一半正解的充要条件.
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| 关 键 词： | 非齐次线性方程组 半正解 基础解系 线性无关 |
Semi-Positive Solutions to Non-Homogeneous Linear Equations |
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| Jiang Dianyu.Semi-Positive Solutions to Non-Homogeneous Linear Equations[J].College Mathematics,1999(4). |
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| Authors: | Jiang Dianyu |
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| Abstract: | Nonzero solution vectorw ithoutnegative com ponentto linearequationsis called its sem i-posi- tive solution. In this article, w e give the structure ofsem i-positive solutionsofnonhom ogeneouslinear equa- tions AX= b (b≠0). Further, w e obtain the sufficientconditions and necessary conditions thatthe linear e- quations has sem i-positive solution and necessary and sufficientcondition thatithasa uniquesem i-positive so- lution. |
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| Keywords: | Nonhom ogeneous linear equations Sem i-positive solution Basic system ofsolutions Lin- ear independent |
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