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针对线性化近似法模型误差大,牛顿迭代法和高斯-牛顿法局部收敛等不足,而同伦算法在非线性数据处理方面有独到优势。通过对同伦路径跟踪过程中牛顿迭代终止判据和步长控制策略进行了改进,得到了一种快速、稳定的同伦路径跟踪算法。 相似文献
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In this paper we present a complete classification of the isolated central configurations of the five-body problem with equal
masses. This is accomplished by using the polyhedral homotopy method to approximate all the isolated solutions of the Albouy-Chenciner
equations. The existence of exact solutions, in a neighborhood of the approximated ones, is then verified using the Krawczyk
method. Although the Albouy-Chenciner equations for the five-body problem are huge, it is possible to solve them in a reasonable
amount of time. 相似文献
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To take into account the variability of the medium through which the groundwater flow takes place, we presented the groundwater flow equation within a confined aquifer with prolate coordinates. The new equation is a perturbed singular equation. The perturbed parameters is introduced and can be used as accurately replicate the variability of the aquifer from one point to another. When the perturbed parameter tends to zero, we recover the Theis equation. We solved analytically and iteratively the new equation. We compared the obtained solution with experimental observed data together with existing solutions. The comparison shows that the modified equation predicts more accurately the physical problem than the existing model. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
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最近学者们提出了组合同伦内点法(简记为CHIP方法)去求解一类非线性规划问题.在求解凸规划问题时,与内路径跟踪算法相比,文中在没有要求对数障碍函数是严格凸的以及解集是非空有界的条件下,取得了CHIP方法的全局收敛性结果.文中对CHIP方法进行了改进并利用改进的方法去求解更大一类的非凸规划问题.数值例子表明此改进是有效的. 相似文献
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LI Xin LI Yong CHEN Duowei .College of Construction Engineering Jilin University Changchun China.College of Foreign Languages Changchun China 《东北亚地学研究》2009,12(2):109-111
The large-scale convergence of homotopy parametric inversion method on the water quality model parameters calculated was used, with application in parametric inversion calculation of total phosphorus of Beijing Miyun Reservoir. Through calculated and compared the error of sedimentation rate by homotopy parametric in- version method and genetic inversion calculation method, the results indicate that homotopy parametric inversion method has good stability, calculating speed, and even if the initial selection away from the objective function, the solution still has a good convergence. 相似文献
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GPS非线性数据处理的同伦最小二乘模型 总被引:4,自引:1,他引:4
基于非线性同伦思想 ,提出了非线性最小二乘同伦方法 ,并推导出相应的GPS同伦非线性模型和算法。算例表明 ,对于精度较差的初始值 ,采用同伦非线性GPS伪距定位模型较线性最小二乘求解精度要好。 相似文献
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This paper describes analytical and numerical methods to analyze the steady state periodic response of an oscillator with
symmetric elastic and inertia nonlinearity. A new implementation of the homotopy perturbation method (HPM) and an ancient
Chinese method called the max-min approach are presented to obtain an approximate solution. The major concern is to assess
the accuracy of these approximate methods in predicting the system response within a certain range of system parameters by
examining their ability to establish an actual (numerical) solution. Therefore, the analytical results are compared with the
numerical results to illustrate the effectiveness and convenience of the proposed methods. 相似文献