A systematic search method for obtaining multiple solutions of simultaneous nonlinear equations
A systematic search method for obtaining multiple solutions of simultaneous nonlinear equations
复制标题
一种获得联立非线性方程多解的系统搜索方法
DOI：
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发表时间：
1975
期刊：
影响因子：
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通讯作者：
C. Pan
中科院分区：
文献类型：
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作者：
K. Chao;Dan;C. Pan
开发了一种系统搜索方法，用于获得 f(x) = 0 形式的非线性方程的多重解，其中 f 是 R^n 的连续可微函数
右箭头 R^n 。该方法基于关联微分方程组 dot{f}_i = -f_i (i = 1, 2,cdots, n - 1 ) 和 dot{f}_n = pm f_n 沿交点 f_i(x) = 0, i = 1, 2,cdots, n - 1 的空间曲线 l 的数值积分。选择加号或减号以使 {x_k} 在 l 上沿所需方向移动。
A systematic search method has been developed for obtaining the multiple solutions of a nonlinear equation of the form f(x) = 0 , where f is a continuously differentiable function from R^n
ightarrrow R^n . The method is based on numerical integration of the associated system of differential equations dot{f}_i = -f_i for i = 1, 2,cdots , n - 1 and dot{f}_n = pm f_n along the space curve l of intersection f_i(x) = 0, i = 1, 2,cdots, n - 1 . The plus or minus sign is chosen so as to make {x_k} move in the desired direction on l .