| 同伦扰动方法在非线性方程组上的应用 |
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| 引用本文： | 白晓丽,郭文彬,郑义.同伦扰动方法在非线性方程组上的应用[J].聊城大学学报(自然科学版),2011,24(1):1-5. |
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| 作者姓名： | 白晓丽 郭文彬 郑义 |
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| 作者单位： | 聊城大学,数学科学学院,山东,聊城,252059 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 在非线性方程组上延拓并发展A.Golbabai提出的同伦扰动方法,从而得到新的迭代方法.
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| 关 键 词： | 同伦扰动方法 雅克比矩阵 非线性代数方程组 牛顿法 |
The Application of Homotopy Perturbation Methods in the System of Nonlinear Algebraic Equations |
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| BAI Xiao-li,GUO Wen-bin,ZHENG-Yi.The Application of Homotopy Perturbation Methods in the System of Nonlinear Algebraic Equations[J].Journal of Liaocheng University:Natural Science Edition,2011,24(1):1-5. |
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| Authors: | BAI Xiao-li GUO Wen-bin ZHENG-Yi |
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| Institution: | BAI Xiao-li GUO Wen-bin ZHENG-Yi(School of Mathematics Science,Liaocheng University,Liaocheng 252059,China) |
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| Abstract: | By extending and developing the homotopy perturbation methods which were proposed by A.Golbabai in the system of nonlinear algebraic equations,thus new iterative methods are obtained. |
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| Keywords: | Homotopy perturbation method Jacobi matrix nonlinear algebraic equations Newton method |
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