| 同伦迭代法的研究及其应用于机构学问题的求解 |
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| 引用本文： | 李立,张剑,陈永.同伦迭代法的研究及其应用于机构学问题的求解[J].西南交通大学学报,2000,35(1):57-60. |
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| 作者姓名： | 李立 张剑 陈永 |
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| 作者单位： | 西南交通大学机械工程学院,四川,成都,610031 |
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| 摘 要： | 通过分析多项式映射同伦函数零点集的特性，提出了一种改进路径跟踪方案的同伦迭代方法，并论证了同伦迭代法求解非线性多项式方程组的可行性和可靠性，说明了该方法解高亏欠度多项式方程组时具有很高的计算效率。给出的机构学问题的数值实例说明了该同伦迭代法的有效性和可靠性。
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| 关 键 词： | 同伦迭代法 机械综合 机构学 数学模型 |
On the Homotopy Iteration Method and Its Application in the Mechanism Problems |
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| LI Li,ZHANG Jian,CHEN Yong.On the Homotopy Iteration Method and Its Application in the Mechanism Problems[J].Journal of Southwest Jiaotong University,2000,35(1):57-60. |
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| Authors: | LI Li ZHANG Jian CHEN Yong |
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| Abstract: | Based on the analysis of the zero set characteristics of the nonlinear polynomial mapping homotopy function, a homotopy iteration method with an improved homotopy tracking scheme is proposed in this paper, and the feasibility and reliability of the homotopy iteration method for solving nonlinear polynomial systems is proved. The proposed method possesses a high efficiency in solving the high deficient polynomial systems. Numerical examples of mechanism problems demonstrate the efficiency and reliability of the method. |
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| Keywords: | homotopy iteration method synthesis of mechanisms mechanism |
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