| 用Chord法求解非线性方程的奇异问题 |
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| 引用本文： | 潘壮元,周世平.用Chord法求解非线性方程的奇异问题[J].电机与控制学报,1989(3). |
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| 作者姓名： | 潘壮元 周世平 |
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| 作者单位： | 哈尔滨电工学院
(潘壮元)，佳木斯师专(周世平) |
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| 摘 要： | 本文在Banach空间中讨论了用Chord法求解非线性方程F(x)=0的奇异问题,推广了Decker和Kelley的结果.在文献1]中,Decker和Kelley对F′(x~*)的零空间为一维的情况证明了Chord法的次收敛性.本文证明了零空间为有限维时Chord法的次收敛性.
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| 关 键 词： | 非线性方程 奇异问题 弦线法 |
Chord Method for Solving Non-linear Equations at Singular Points |
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| Pan Zhuangyuan Harbin Institute of Electrical Technology,Zhou Shiping Jiamusi Teachers College.Chord Method for Solving Non-linear Equations at Singular Points[J].Electric Machines and Control,1989(3). |
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| Authors: | Pan Zhuangyuan Harbin Institute of Electrical Technology Zhou Shiping Jiamusi Teachers College |
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| Affiliation: | Pan Zhuangyuan Harbin Institute of Electrical Technology
Zhou Shiping Jiamusi Teachers College |
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| Abstract: | In this paper, chord method for Solving nonlinear systems at singular points is discussed, under the conditions that the dimension of the null space of F'(x~*) is finite, the sublinear convergence of Chord method is proved. |
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| Keywords: | non - linear equations singularity Chord method |
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