| 两类线性系统的两个优化算法 |
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| 引用本文： | 简金宝,梁远信.两类线性系统的两个优化算法[J].广西大学学报(自然科学版),1999,24(2):108-111. |
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| 作者姓名： | 简金宝 梁远信 |
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| 作者单位： | 1. 广西大学理学院,南宁,530004
2. 广西经济管理干部学院,南宁530007 |
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| 基金项目： | 国家自然科学基金,广西自然科学基金 |
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| 摘 要： | 在没有任何假设的条件下研究一般线性等式与不等式组和带广义界的线性等式的求解，利用最优化方法的思想建立了两个算法．方法仅需计算一个投影矩阵，迭代步长恒等于１．证明了这两个算法较强的整体收敛性
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| 关 键 词： | 线性系统 广义界 优化算法 整体收敛性 |
| 修稿时间： | :1998-12-08 |
Two Optimization Algorithms for Solving Two Linear Systems |
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| Jian Jinbao,Liang Yuanxin.Two Optimization Algorithms for Solving Two Linear Systems[J].Journal of Guangxi University(Natural Science Edition),1999,24(2):108-111. |
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| Authors: | Jian Jinbao Liang Yuanxin |
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| Abstract: | In this paper, without any assumptions,methods for solving general linear equations and inequalities as well as linear equations holding generalized bounds are studied,two algorithms for them are presented with the help of optimization technique.The algorithms compute only one projection matrix,and their iteration steplength always equals one.The better global convergences of the two algorithms are proved. |
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| Keywords: | linear systems generalized bounds optimization algorithms global convergence |
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