| 可行方向法的统一理论及其应用（2） |
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| 引用本文： | 张顺寿.可行方向法的统一理论及其应用（2）[J].贵州工业大学学报(自然科学版),1996(2). |
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| 作者姓名： | 张顺寿 |
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| 作者单位： | 贵州工学院应用数学研究所 |
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| 摘 要： | 作者已建立了可行方向法的统一理论，把问题归结为求一组主方向和一组次方向［３］。本文给出产生一组主方向和一组次方向的一般方法，把问题转化为求Ｍ＋；得到了与［３］等价的理论，并给出简化求Ｍ＋的方法，这就使理论和方法都得到了完善。作为应用，给出了Ｒｏｓｅｎ梯度投影法的简明表达式，并给出了求解线性规划的一个新算法。
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| 关 键 词： | 线性约束 可行方向算法 统一理论 |
THE UNITED THEORY OF THE METHODS OF FEASIBLE DIRECTION AND ITS APPLICATION(2) |
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| Zhang Shunshou.THE UNITED THEORY OF THE METHODS OF FEASIBLE DIRECTION AND ITS APPLICATION(2)[J].Journal of Guizhou University of Technology(Natural Science Edition),1996(2). |
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| Authors: | Zhang Shunshou |
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| Abstract: | The author has formulated the united theory of the methods of feasible direction, summing it up as finding a group of principal directions and a group of secondary directions 3]. In this paper, he further presents a general method for generating groups of directions and transforms the problem into computing M+. A theory equivalent to 3] is advanced, and a simplified method for finding M+ is suggested. As a result, both the theory and the method are perfected. A simpleexpression of the Gradient Projection Method of Rosen and a new algorithm of solution to linear programming are also available for use. |
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| Keywords: | linear constraints feasible direction algorithm united theory |
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