| 具有定号解的线性方程组的若干性质 |
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| 引用本文： | 徐光辉,管宇,叶彩儿. 具有定号解的线性方程组的若干性质[J]. 绍兴文理学院学报, 2003, 23(10): 1-6 |
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| 作者姓名： | 徐光辉 管宇 叶彩儿 |
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| 作者单位： | 浙江林学院,应用数学系,浙江,杭州,311300 |
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| 基金项目： | 浙江省教育厅科研基金资助项目(20020975) |
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| 摘 要： | 对有定号解的线性方程组或有定号零空间的实矩阵进行了更深入的研究．讨论了有定号解的线性方程组与符号可解(或符号不可解)线性方程组之间的关系，证明了有定号解的线性方程组具有某种继承性；同时也给出了具有定号解的线性方程组其任一类解中均无零元素的特征．
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| 关 键 词： | 定号解 线性代数方程组 符号模式 矩阵 |
| 文章编号： | 1008-293X(2003)10-0001-06 |
| 修稿时间： | 2003-10-08 |
Some Results on Linear Systems with Signed Solutions |
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| Xu Guanghui Guan Yu Ye Caier. Some Results on Linear Systems with Signed Solutions[J]. Journal of Shaoxing College of Arts and Sciences, 2003, 23(10): 1-6 |
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| Authors: | Xu Guanghui Guan Yu Ye Caier |
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| Abstract: | In this paper, a more careful research on linear systems with signed solutions and real matrices with signed zero - space is made. Some relations between linear systems with signed solutions and sign -solvable (or inconsistent) linear systems are discussed. Some successive property of linear systems with signed solutions is proved. Meanwhile, a characterization of linear systems with signed solutions whose class solution does not contain any zero element is obtained. |
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| Keywords: | signed pattern matrix linear systems signed solution |
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