| 机构学中初始方程组的自动生成 |
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| 引用本文： | 张纪元.机构学中初始方程组的自动生成[J].上海海事大学学报,1999(1). |
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| 作者姓名： | 张纪元 |
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| 作者单位： | 上海海运学院机械系 |
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| 基金项目： | 国家自然科学基金,上海市高等学校科学技术发展基金 |
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| 摘 要： | 提出与齐次理论［１］相匹配的初始方程组的一般表达式，并给出计算机进行变元分组、自动生成初始方程组和确定初始解的算法。这为构造实数同伦法（笔者另文论述）、求解机构学多解问题奠定了基础。
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| 关 键 词： | 机构学.多项式.同伦 初始方程组 |
Automatic Generation of Polynomial start System of Equations in Mechanism |
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| Zhang,Jiyuan.Automatic Generation of Polynomial start System of Equations in Mechanism[J].Journal of Shanghai Maritime University,1999(1). |
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| Authors: | Zhang Jiyuan |
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| Institution: | Zhang Jiyuan |
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| Abstract: | In this paper, a general expression of polynomial start system of equations that suits well to multihomogeneous theory of paper is suggested, and some algorithms to divide the variables into several groups, to generate palynomial start system of equations, and to determine start solution of a polynomial start system of equations are also put forward. All this has laid a foundation for constructing the real number homotopy method,which can be used to locate all real solutions of a polynomial systems by homotopy method in real domain,and for solving multiple solution problems in mechanisms. |
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| Keywords: | mechanism polynomials homotopy start system of equations |
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