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约束变尺度类算法(Ⅰ)——统一算法模型及既约梯度型方向算法类 被引量:2
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作者 周晓阳 施保昌 陈王廷 《系统工程学报》 CSCD 1998年第2期24-31,共8页
建立了非单调一维搜索约束变尺度类统一算法模型,提出收敛性条件,并证明了算法的全局收敛性.通过引入连续优势函数和A-方向集的概念,将约束变尺度算法与可行方向法合二为一.不仅推广了“经典”的约束变尺度算法(可进行非单调一... 建立了非单调一维搜索约束变尺度类统一算法模型,提出收敛性条件,并证明了算法的全局收敛性.通过引入连续优势函数和A-方向集的概念,将约束变尺度算法与可行方向法合二为一.不仅推广了“经典”的约束变尺度算法(可进行非单调一维搜索).而且可得出许多新的算法,这些新算法既具有“经典”约束变尺度法“宽通路”的特征.也具有可行方向法单步计算量较小,计算程序简单的优点.进一步构造了一个方便实用的连续优势函数,并在此基础上建立了既约梯度型方向约束变尺度算法类. 展开更多
关键词 约束变尺度类算法 统一算法模型 既约梯度型方向算法 非线性规划
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非线性约束最优化在广义投影下强次可行方向法的统一模型
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作者 梁元星 曾友芳 《桂林工学院学报》 CAS 北大核心 2005年第3期377-382,共6页
对非线性不等式约束最优化问题进行了讨论,借助广义投影建立求解问题的一个含系列自由参数的统一算法模型.该算法模型能以任意点为初始迭代点,并且迭代点列所满足的约束函数的个数单调不减,不断累加;进一步地,一旦迭代点进入可行域,模... 对非线性不等式约束最优化问题进行了讨论,借助广义投影建立求解问题的一个含系列自由参数的统一算法模型.该算法模型能以任意点为初始迭代点,并且迭代点列所满足的约束函数的个数单调不减,不断累加;进一步地,一旦迭代点进入可行域,模型就能保持在可行域内迭代,成为可行下降类算法.称具有这种性质的算法为强次可行方向法.在适当的条件下证明了算法模型的全局收敛性.文中模型同时提供了一种求解非线性不等式组的叠累型方法. 展开更多
关键词 非线性约束最优化 广义投影 强次可行方向法 统一算法模型 全局收敛性
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An automatic unified modeling method of geological object and engineering object based on tri-prism(TP) 被引量:1
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作者 张荣春 李浩 +1 位作者 吴铭飞 王亚芹 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第4期1419-1426,共8页
For the interaction relation between geological object and engineering object in some fields related to water conservancy and hydropower, a unified modeling idea was proposed. On the basis of summarizing both advantag... For the interaction relation between geological object and engineering object in some fields related to water conservancy and hydropower, a unified modeling idea was proposed. On the basis of summarizing both advantages and disadvantages of existing modeling methods, an automatic unified modeling method of both engineering and geological objects based on tri-prism(TP) model was presented. Through the lossless correction algorithm of deviated drill holes contained in this method, the real deviated drill holes could be corrected into the equivalent virtual vertical ones. And the correction accuracy fully meets the requirements of unified modeling. With the virtual vertical drilling data, TIN construction of both cover layer and other stratums would be built in order to obtain the 3D geological model. Then, the engineering design data would be introduced into the 3D geological model for achieving unified modeling. For this process, the volume subdividing and restructuring principles were introduced to deal with the spatial relationships between engineering object and geological object. In order to improve the efficiency of unified modeling, the reconstruction of TIN based on constraint information was also applied in this method. At last, the feasibility and validation of the unified modeling method as well as its relevant key algorithms were verified by specific experiments and analysis of results. 展开更多
关键词 tri-prism(TP) model unified modeling deviated drill holes correction volume subdividing constraint information
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