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机构学中非线性问题的解法述评
引用本文:张纪元.机构学中非线性问题的解法述评[J].上海海事大学学报,2000,21(4):8-18.
作者姓名:张纪元
作者单位:上海海运学院工学院,上海,200135
基金项目:国家自然科学基金,交通部重点资助项目
摘    要:综述了机构学中常见非线性问题的数学模型及其解法 ,着重述评非线性代数方程组解法的分类、求解思路、研究现状、存在问题和发展方向 ,特别推荐基组结式消元法、同伦法和分解法等实用新型的解法

关 键 词:机构学  非线性方程组  多项式  同伦  分解法

A Review of Methods for Solving Nonlinear Problems in Mechanisms
Zhang Jiyuan.A Review of Methods for Solving Nonlinear Problems in Mechanisms[J].Journal of Shanghai Maritime University,2000,21(4):8-18.
Authors:Zhang Jiyuan
Institution:Zhang Jiyuan
Abstract:In this paper, a review of mathematical models and methods for solving nonlinear problems in mechanisms has been made. The paper emphatically summarizes the classification, thinking mode, present status, problems and devolopment of methods for solving nonlinear system of equations, and specially recommends some practical and new methods, such as the elimination by eliminant with aid of basic sets, homotopy method and decomposition method, etc. The review has important theoretical significance and practical value for researches and creative designs of mechanisms.
Keywords:mechanisms  nonlinear system of equations  polynomials  homotopy  decomposition meth4
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