该文基于非线性同伦内点法提出了检测无功优化不可行问题的新算法。
This paper presents new algorithm for detecting the solution infeasiblity in reactive power optimization calculation based on nonlinear homogeneous interior point method.
利用精细积分技术对同伦摄动方法进行了改进，构造了一种求解非线性动力学方程的新的渐近数值方法。
A new asymptotic numerical method for nonlinear dynamic equations was proposed. In this method, the homotopy perturbation method was improved by using the precise integration technique.
阐述利用最新提出的同伦分析方法求解有正阻尼的强非线性振动方程，得到了该方程的六阶近似解析解。
In this paper, the sixth-order approximate analytical solutions of the strong nonlinear oscillation with positive damping are obtained by using newly developed homotopy analysis method.
本文利用连续同伦方法讨论非线性映射在有界区域内零点的存在性和零点数目，以及推广若干经典定理。
With homotopy methods, this paper discusses the existence and the number of zeroes of nonlinear mappings on bounded regions and extends some classical theorems.
为了寻求一种更有效的非线性最小二乘平差算法，根据同伦思想提出了一种改进的同伦算法。
Based on the homotopy idea, an improved homotopy algorithm was proposed in order to search a more efficient algorithm for nonlinear least squares adjustment.
地球物理反问题大部分是非线性问题，基于路径跟踪的同伦法是求解该类问题的有效方法。
Most of geophysical inversion are non-linear problems, the homotopy method based on path tracking is effective method for solving this kind of problems.
本文用某种同伦方法，借助于一些适当的变换，讨论了有序的局部凸拓扑线性空间中集值凝聚映象方程的正解问题。
Under several suitable transformations, the problem of positive solutions for set-valued condensing mapping equation in an ordered locally convex topological space is studied by some homotopy method.
在网络方程同伦的概念的基础上，给出了一种求解非线性电阻性网络的有效算法。
Based on the homotopy idea of network equation, an efficient algorithm for solving nonlinear resistive network is given in the paper.
利用同伦映射理论，本文研究了一类非线性问题。
Using the homotopy mapping theory, a class of nonlinear problems were studied.
同时，在求解连杆曲线非线性方程组中引入同伦算法，使算法具有大范围收敛性，从而保证了优化过程的稳定收敛。
At the same time, homotopy algorithm is applied in the solution of non-linear equation of plane link curve, it enlarges the convergence range of optimization process steadily.
运用同伦方法的基本思想研究飞机非线性平衡状态的求解。
In this paper, the method of solving nonlinear equilibrium state of aircraft is studied according to homotopy concept.
结果表明，同伦分析法在求解高维非线性演化方程时，仍然是一种行之有效的方法。
The results indicate that the HAM is still valid for solving a class of higher dimensional evolution equations.
利用组合极大熵同伦方法，研究一般的非凸非线性规划问题。
We utilized the combined maximum entropy homotopy method to solve the general nonconvex nonlinear programming problems.
本文一篇综述类文章，综述了同伦摄动方法及它在非线性微积分方程中的某些应用。
The paper reviews Some applications of the homotopy perturbation method to nonlinear differential and integral equations.
基于同伦映射的思想，改进了求解非线性反问题的梯度正则化算法。
Based on idea of homotopy mapping, an improved gradient regularization algorithm was developed.
用同伦方法分析了可分解映射的零点存在性，并获得它对一类非线性特征值问题的应用。
Using homotopy methods, this paper gives an analysis on the existence of zeros of the decomposable mapping, and finds its application to a class of nonlinear eigenvalue problems.
运用齐次化同伦连续法给出了两组非线性设计方程组的数值解。
By using the generalized homotopy iteration method, the sets of nonlinear synthesis equations were solved, and the whole numerical solutions were given out as a result.
应用“同伦分析方法”成功求解了科学和工程中众多类型的非线性问题，证实了其有效性和普遍适用性。
The homotopy analysis method has been successfully applied to a lots of different types of nonlinear problems in science and engineering so as to prove its general validity in a wide region of fields.
利用组合极大熵同伦方法，研究一般的非凸非线性规划问题。
In this paper, we present a new interior point method-combined homotopy interior point method.
利用组合极大熵同伦方法，研究一般的非凸非线性规划问题。
In this paper, we present a new interior point method-combined homotopy interior point method.
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