| 有限平面波的线性组合的楔形基函数逼近 |
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| 引用本文： | 张立伟.有限平面波的线性组合的楔形基函数逼近[J].山东大学学报(理学版),2006,41(6):87-89. |
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| 作者姓名： | 张立伟 |
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| 作者单位： | 山东科技大学,信息科学与工程学院,山东,青岛,266510 |
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| 摘 要： | 在用楔形基函数逼近本身就是楔形函数或者它们的线性组合时，可以把被逼近函数看作沿着固定方向传播的波. 首先利用非线性最小二乘法和人工神经网络估计出楔形基函数的方向，然后用所得到的方向作为楔形基函数的方向重构被逼近函数，并给出了算例.
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| 关 键 词： | 楔形基函数 平面波 逼近 |
| 文章编号： | 1671-9352（2006）06-0087-03 |
| 收稿时间： | 2006-05-28 |
| 修稿时间： | 2006-05-28 |
Approximation to limited linear combined ridge basis function of plane wave |
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| ZHANG Li-wei.Approximation to limited linear combined ridge basis function of plane wave[J].Journal of Shandong University,2006,41(6):87-89. |
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| Authors: | ZHANG Li-wei |
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| Institution: | College of Information Science and Engineering, SDUST, Qingdao 266510, Shandong, China |
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| Abstract: | The approximated function can be regarded as the plane wave spreaded along some directions when the approximation to limited linear combined ridge basis function of plane wave is ridge functions or their combination. The directions of ridge basis function are given through non-linear least square method and artificial neural network. The approximated function is reconstructed by the directions obtained in the first step. Some examples are given. |
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| Keywords: | ridge basis function plane wave approximation |
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