| N阶分歧问题的数值逼近 |
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| 引用本文： | 王贺元.N阶分歧问题的数值逼近[J].商丘师范学院学报,2000,16(6):51-58. |
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| 作者姓名： | 王贺元 |
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| 作者单位： | 辽宁工学院,辽宁锦州 |
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| 基金项目： | 辽宁省自然科学基金资助项目!(9810013) |
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| 摘 要： | 对任意阶分歧问题的数值逼近进行了研究，构造了求解一类非退化分歧点及相关系数的扩充系数的逼近形式，采用拟牛顿法来逼近离散后的奇异点及相关参数，该方法中改进的导数矩阵具有分块三角形式，不仅计算量大大减少，而且具有超线性收敛性。
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| 关 键 词： | 分歧点 非线性方程 扩充系统 数值逼近 |
Numerical approximations of corank-N bifurcation problems |
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| WANG He,yuan.Numerical approximations of corank-N bifurcation problems[J].Journal of Shangqiu Teachers College,2000,16(6):51-58. |
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| Authors: | WANG He yuan |
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| Abstract: | Numerical approximations of bifurcation problems with arbitrary finite corank is studied in this paper,Approximate form of extended system for approximating a kind of nondegenerate bifurcation points and relevant parameters are constructed,A Newton-like iteration method for approximating discrete singuloar points and relevant parameters is used,improved derivative matrix in this method has a block lower triangular form,not only great computational work is reduced,but also convergence speed is superlinear. |
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| Keywords: | bifurcation point nonliner equations estended system |
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