| 求解泛函方程的泛函网络方法 |
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| 引用本文： | 吕咏梅,周永权.求解泛函方程的泛函网络方法[J].计算机工程与设计,2008,29(24). |
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| 作者姓名： | 吕咏梅 周永权 |
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| 作者单位： | 广西民族大学数学与计算机科学学院,广西南宁,530006 |
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| 基金项目： | 国家自然科学基金项目
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广西自然科学基金项目
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| 摘 要： | 给出一种求解泛函方程的泛函网络方法,设计了一种泛函网络模型用于逼近一类泛函方程的实根问题,并给出了相应地学习算法.该算法通过求解线性方程组可得到网络参数.相对于传统方法,该方法不但能够快速求出泛函方程的精确解,而且可获得所求泛函方程的近似解.计算机仿真结果表明,该算法可行有效.
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| 关 键 词： | 泛函方程 实根 泛函网络 基函数簇 学习算法 |
Functional network method to solving functional equations |
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| L Yong-mei,ZHOU Yong-quan.Functional network method to solving functional equations[J].Computer Engineering and Design,2008,29(24). |
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| Authors: | L Yong-mei ZHOU Yong-quan |
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| Affiliation: | LU Yong-mei,ZHOU Yong-quan(College of Mathematics , Computer Science,Guangxi University for Nationalities,Nanning 530006,China) |
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| Abstract: | A kind of functional network method to solving functional equations is presented,and a functional network model for computation of an approximate real root of a class of functional equations is designed.The learning of parameters of the functional networks is carried out by the solving linear equations.Not only we obtain the exact roots of the functional equation,but also the approximate roots of the equation.Finally,the simulation results demonstrate that the identification method presented is more efficie... |
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| Keywords: | functional equation real roots functional network base functions learning algorithm |
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