| 筛选法解非线性方程组 |
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| 引用本文： | 聂普焱. 筛选法解非线性方程组[J]. 应用数学学报, 2004, 27(3): 407-415 |
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| 作者姓名： | 聂普焱 |
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| 作者单位： | 暨南大学数学系,广州,510632 |
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| 摘 要： | 本文给出了一种新方法解非线性方程组，也是筛选法的一个推广方程组被分成两部分，一部分被当作约束条件，另一部分的最小二乘被当作目标函数．本质上，两种不同方法被用于解同一非线性方程组．
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| 关 键 词： | 筛选法 非线性方程组 目标函数 最小二乘 修复算法 收敛性 |
FILTER METHODS FOR SYSTEM OF NONLINEAR EQUATIONS |
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| NIE PUYAN. FILTER METHODS FOR SYSTEM OF NONLINEAR EQUATIONS[J]. Acta Mathematicae Applicatae Sinica, 2004, 27(3): 407-415 |
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| Authors: | NIE PUYAN |
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| Abstract: | In this paper, a new method for system of equations is proposed, which is an extention of filter approaches. The equations are divided into two groups. One group is treated as constraints. The least square of other equations acts as objective function. In essence, two different strategies are employed in an algorithm. |
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| Keywords: | System of nonlinear equations filter approaches converge restoration algorithm filter |
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