Using the homotopy analysis method, the approximation solution is obtained.
利用同伦分析方法，得到了该模型的近似解。
Using the homotopy mapping theory, a class of nonlinear problems were studied.
利用同伦映射理论，本文研究了一类非线性问题。
The homotopy algorithm, basing on homotopy mapping, is convergent with wide range.
基于同伦映射的同伦算法，具有大范围收敛性。
This paper deals with the problem of identifying ARMAX model using homotopy approach.
论述了采用同伦法辨识armax模型的问题。
Based on idea of homotopy mapping, an improved gradient regularization algorithm was developed.
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。
Using the homotopy analysis method, the approximation of the solution for the model was obtained.
利用同伦分析方法，得到了该模型解的近似展开式。
A homotopy continuation algorithm is proposed to deal with parallel computation for this eigenvalue problem.
首次将连续同伦算法应用于非对称广义特征值问题的并行求解，提出并行连续同伦算法。
Homeomorphic morphism and homotopy equivalence are two important concepts in the theory of algebraic topology.
同胚映射和同伦等价是代数拓扑学中的两个重要概念。
Results Generalizing some results of homeomorphic morphism, homotopy equivalence and homotopy regular morphism.
结果推广了同胚映射、同伦等价和同伦正则态射的有关结果。
A time stepping scheme is used for the transient analysis and a homotopy method is adopted to solve the process.
时域上采用精细算法进行离散，并应用同伦算法进行求解。
Homotopy is a concept of algebra topology, and homotopy algorithm has been applied to solving the practical problems.
同伦是代数拓扑学中的概念，同伦算法已应用于一些工程实际问题的求解。
Considering the regularization effect of homotopy parameter, we adopt a two-step update scheme of homotopy parameter.
同时在分析了同伦参数正则化效应的基础上，提出一种两段同伦参数修正方法。
In this paper, the method of solving nonlinear equilibrium state of aircraft is studied according to homotopy concept.
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。
We utilized the combined maximum entropy homotopy method to solve the general nonconvex nonlinear programming problems.
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。
The paper reviews Some applications of the homotopy perturbation method to nonlinear differential and integral equations.
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。
It was showed at first that the loop space functor and the suspension functor preserve the properties of homotopy regular.
首先得到了闭路函子和同纬函子保持同伦正则性。
Based on the homotopy idea of network equation, an efficient algorithm for solving nonlinear resistive network is given in the paper.
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。
We defined the new quasi-cone condition, established the homotopy equation and proved the global convergence of this homotopy method.
通过对可行域定义新的拟锥条件，给出相应同伦方程，并证明此同伦算法在此拟锥条件下具有全局收敛性。
Moreover, the effect of the equivariant homotopy pullback and pushout are investigated while their passing to their H-fixed point Spaces.
此外，关于等变同伦拉回和等变同伦推出，对当其限制在其H -不动点空间上的性质进行了一些探讨。
The approximation of the primal quadratic optimization model can be obtained by solving the regularized one and adjusting the homotopy parameter.
然后通过调节同伦参数，对每个不同的参数用复制子等式进行求解，从而得到原二次规划模型近似解。
Secondly, in order to favor utilizing this theorem, several propositions are given on the homotopy equivalence between two topological space sets.
其次，为使此定理的应用变得直接简便，我们还给出了关于拓扑空间（组）之间同伦等价的几个命题。
The computational software is developed, which is based on the test of even change point, homotopy continuation algorithm and the iterative method.
基于上述研究，论文还研制了均值变点检验、同伦延拓法及迭代法的计算软件。
The existence and convergence of the homotopy path are proved, and efficiency of our method is illustrated by the numerical experimentations at last.
我们给出同伦路径的存在性和收敛性证明，并通过数值实验验证新算法的有效性。
Most of geophysical inversion are non-linear problems, the homotopy method based on path tracking is effective method for solving this kind of problems.
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。
Based on the homotopy idea, an improved homotopy algorithm was proposed in order to search a more efficient algorithm for nonlinear least squares adjustment.
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。
Recently, a combined homotopy interior point method (denoted as CHIP method for convenience) was presented to solve a class of nonlinear programming problems.
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。
With homotopy methods, this paper discusses the existence and the number of zeroes of nonlinear mappings on bounded regions and extends some classical theorems.
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。
Some details in numerical experiment are also presented, such as how to carry out one dimension search, how to set some initial values and how to adjust homotopy parameter.
介绍了在数值试验中一些细节处理，包括如何进行一维搜索，在试验中一些初值的设定，以及同伦参数的调节问题。
Some details in numerical experiment are also presented, such as how to carry out one dimension search, how to set some initial values and how to adjust homotopy parameter.
介绍了在数值试验中一些细节处理，包括如何进行一维搜索，在试验中一些初值的设定，以及同伦参数的调节问题。
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