| 有理逼近及其在数值优化中的应用 |
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| 引用本文： | 卢玉蓉,李德珍,何永富.有理逼近及其在数值优化中的应用[J].成都理工大学学报(自然科学版),1997(2). |
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| 作者姓名： | 卢玉蓉 李德珍 何永富 |
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| 作者单位： | 成都理工学院应用数学系(卢玉蓉)，四川石油局地调处(李德珍)，成都理工学院计算机工程系(何永富) |
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| 摘 要： | 文章利用倒差商研究了数值有理逼近的理论和方法，证明了有理插值函数的唯一性，并应用该方法求解数值优化问题，建立了直线搜索的计算方案。计算结果表明，用有理插值方法求解数值优化问题是速度快、精度高的算法
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| 关 键 词： | 倒差商，连分式，有理逼近，直线搜索，解析法，直接法 |
RATIONAL APPROXIMATION AND ITS APPLICATIONS TO NUMERICAL OPTIMIZATION |
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| Lu Yurong.RATIONAL APPROXIMATION AND ITS APPLICATIONS TO NUMERICAL OPTIMIZATION[J].Journal of Chengdu University of Technology: Sci & Technol Ed,1997(2). |
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| Authors: | Lu Yurong |
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| Abstract: | On the basis of reciprocal difference quotient, the theory and method for numerical approximation of the rational function are established in this paper. The uniqueness of rational interpolation is obtained and then, the computer scheme of the linear search is suggested. The result shows that the method is fast and highly accurate. |
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| Keywords: | reciprocal difference quotient continued fraction rational interpolation linear search analytic method direct method |
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