| 连续方法解非线性方程组 |
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| 引用本文： | 陈昆亭,张爱芹.连续方法解非线性方程组[J].中国石油大学学报(自然科学版),1996(4). |
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| 作者姓名： | 陈昆亭 张爱芹 |
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| 作者单位： | 石油大学数理系 山东东营257062
(陈昆亭)，石油大学数理系 山东东营257062(张爱芹) |
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| 摘 要： | 讨论了在用连续法解非线性方程组时.解的存在及数值连续法的可行性条件.给出了几个同伦解曲线存在唯一的条件.
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| 关 键 词： | 同伦 局部同胚 连续法 非线性方程 全局同胚 |
THE METHOD OF NUMERICAL CONTINUATION FOR NONLINEAR SYSTEMS OF EQUATIONS |
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| Chen Kunting Zhang Aiqin.THE METHOD OF NUMERICAL CONTINUATION FOR NONLINEAR SYSTEMS OF EQUATIONS[J].Journal of China University of Petroleum,1996(4). |
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| Authors: | Chen Kunting Zhang Aiqin |
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| Abstract: | Two computational conditions are used to discuss the continuation method for nonlinear systems of equations. The feasibility of the numerical continuation method is analyzed. Some sufficient conditions are given for the existence and uniqueness of the solution curve of the homotopy equations. |
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| Keywords: | Continuation method Nonlinear equation Homotopy Local homeomorphism Global homeomorphism |
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