| 正则牛顿过程设计n分之一阶分抗电路(英文) |
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| 引用本文： | 廖科,袁晓,蒲亦非,周激流.正则牛顿过程设计n分之一阶分抗电路(英文)[J].四川大学学报(自然科学版),2006,43(1):104-108. |
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| 作者姓名： | 廖科 袁晓 蒲亦非 周激流 |
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| 作者单位： | 1. 四川大学电子信息学院,成都,610064
2. 四川大学电子信息学院,成都,610064;四川大学计算机学院,成都,610064 |
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| 摘 要： | 讨论基于一阶正则牛顿迭代求根过程进行任意阶分抗的近似求解方法.通过迭代求解n阶方程的正实根,作为分抗的模拟.给出迭代的精确公式,并分析其收敛必须满足的条件,最后给出相应的模拟无源电路实现方案.
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| 关 键 词： | 分数运算 分抗 正则牛顿法 收敛条件 |
| 文章编号： | 0490-6756（2006）01-0104-05 |
| 收稿时间： | 2005-03-20 |
| 修稿时间： | 2005-03-20 |
One-nth Order Fractance Implementation Using Regular Newton Process |
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| LIAO Ke,YUAN Xiao,PU Yi-fei,ZHOU Ji-liu.One-nth Order Fractance Implementation Using Regular Newton Process[J].Journal of Sichuan University (Natural Science Edition),2006,43(1):104-108. |
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| Authors: | LIAO Ke YUAN Xiao PU Yi-fei ZHOU Ji-liu |
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| Institution: | School of Electronic and Information; Sichuan University;School of Electronic and Information; Sichuan University;School of Electronic and Information; Sichuan University;School of Electronic and Information; Sichuan University,School of Computer Science |
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| Abstract: | Discusses a method to realize the arbitrary order fractance in fractional calculus based on one-order regular Newton process.Using the positive real root of the n-order equation as the approximation of the fractance by way of solving the equation.The condition under which the Newton process can be convergent is discussed.Authors also present the iteration formula and in the end the analog passive realization of the one nth order fractance is presented. |
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| Keywords: | fractional calculus fractance Newton process convergent condition |
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