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An Iteration Method Based on Homotopy Function for Solving Polynomial Systems and Application to Mechanisms Problems 被引量:1

An Iteration Method Based on Homotopy Function for Solving Polynomial Systems and Application to Mechanisms Problems *
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摘要 A new iterating method based on homotopy function is developed in this paper. All solutions can be found easily without the need of choosing proper initial values. Compared to the homotopy continuation method, the solution process of the present method is simplified, and the computation efficiency as well as the reliability for obtaining all solutions is also improved. By application of the method to the mechanisms problems, the results are satisfactory. A new iterating method based on homotopy function is developed in this paper. All solutions can be found easily without the need of choosing proper initial values. Compared to the homotopy continuation method, the solution process of the present method is simplified, and the computation efficiency as well as the reliability for obtaining all solutions is also improved. By application of the method to the mechanisms problems, the results are satisfactory.
出处 《Journal of Modern Transportation》 1997年第1期37-44,共8页 现代交通学报(英文版)
关键词 numerical iteration method homotopy iteration algorithm polynomial systems kinematic analysis and synthesis of mechanisms numerical iteration method, homotopy iteration algorithm, polynomial systems, kinematic analysis and synthesis of mechanisms
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