| 一种新的带有缓和项的填充函数 |
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| 引用本文： | 乔红端,田志远,田媛.一种新的带有缓和项的填充函数[J].青岛大学学报(自然科学版),2008,21(3):41-45. |
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| 作者姓名： | 乔红端 田志远 田媛 |
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| 作者单位： | 青岛大学数学科学学院,山东,青岛,266071 |
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| 摘 要： | 研究用于求解全局极值问题的填充函数法。为了减少填充函数的Hesse阵非正定对算法的影响,本文给出了一类带缓和项的填充函数并给出相应的算法。数值结果也表明它具有较好的性质。
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| 关 键 词： | 全局优化 填充函数法 非线性规划 |
A Class of Filled Functions with Mitigators |
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| QIAO Hong-duan,TIAN Zhi-yuan,TIAN Yuan.A Class of Filled Functions with Mitigators[J].Journal of Qingdao University(Natural Science Edition),2008,21(3):41-45. |
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| Authors: | QIAO Hong-duan TIAN Zhi-yuan TIAN Yuan |
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| Institution: | (College of Mathematics, Qingdao University, Qingdao 266071,China) |
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| Abstract: | Several filled functions are reported to seek the global minimum of multimodal functions. This paper proposes an alternative formulation that may reduce the non-positive definite effect of the Hessian of a filled function proposed before. Furthermore, a class of mitigators is defined, which is applied to im- prove the computational characteristics of filled functions. Results of numerical experiments on testing program are also reported. |
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| Keywords: | global optimization filled function method nonlinear programming |
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