Homotopy Analysis Method itsApplications in Mathematics;
同伦分析方法及其在数学中的应用
Improved Homotopy BP Algorithm and Application in Fault Diagnosis;
一种改进的同伦BP算法及其在故障诊断中的应用研究
Application of the Homotopy in Feature Modeling;
同伦算法在特征造型中的应用
This paper introduces the homotopy algorithm into back-propagation neural network and indicates that the convergence speed can be improved and the defects of converging to local extremum can be eliminated.
同伦算法是解决非线性优化问题的新理论,将同伦算法引入误差反向传播神经网络,提高了网络的训练速度,消除了常规BP网络算法收敛于局部极值的缺点。
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 introduces an optimization method of the selective harmonic elimination(SHE) technology based on the homotopy algorithm applied to neutral-point-clamped(NPC) three-level inverters.
文章以中点钳位型三电平逆变器为模型,在介绍SHE-PWM原理的基础上,采用同伦算法对非线性方程组求解,求取SHE-PWM的开关角度,进行NPC逆变器消谐模型的求解,具有收敛范围宽、收敛速度快等优点;用MatLab/Simulink仿真研究了谐波消除的效果,并用IGBT搭建了三电平逆变器实验电路模型,对SHE-PWM的谐波消除效果进行了验证;实验结果证明了基于同伦模型的NPC三电平逆变器SHE-PWM方法的有效性。
A class of nonlinear generalized Landau-Ginzburg-Higgs (LGH) equation was considered by using the homotopic mapping method.
利用同伦映射方法研究了一类非线性广义Landau-Ginzburg-Higgs(LGH)方程。
By using the homotopic mapping method, a class of simplified nonlinear model is studied, and the approximate solution is obtained.
利用同伦映射方法,研究了一类简化型非线性模型。
In this paper,we present a new interior point method-combined homotopy interior point method.
本文针对线性规划问题提出了一个新的内点方法———组合同伦内点方法,并采用预估校正算法来跟踪组合同伦路径从而得到问题的ε-解。
Study on the new homology continuation algorithm and its application in motor;
新型同伦算法及其在电机中的应用
The homology continuation algorithm has resolved this difficult problem without given initial value and can find all solution,but a special programming is compiled at the same time.
通过构造新型同伦函数并结合Maple高级程序设计语言的通用工具箱,提出了同伦算法的原理与实现方法。
The algorithm related to homotopy method provides a systematic approach for deriving optimal solution of relative minimum.
根据同伦算法证明了极大熵函数的最优解序列逼近于非线性lp问题的最优解,并提出了解决计算过程中易于溢出的方法。
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。
A constructive proof of a class of nonconvex Brouwer fixed point problems is pre-sented, and the theoretical base of homotopy method to the problem has been created.
一类非凸Ｂｒｏｕｗｅｒ不动点问题的同伦算法于波，林正华（吉林大学数学研究所，长春１３００２３）关键词不动点定理，构造性证明，同伦算法在７０年代，文［１，２］就提出了求Ｒ￣ｎ中有界闭凸集上连续可微自映射的不动点的同伦算法，这是非线性问题数值解法的突破性。
An Application of Homotopy Method to Solving Primal-Dual Linear Programming Problems;
应用同伦法求解原有-对偶线性规划问题
One type is the system of nonlinear polynomial equations, and a numerical approach using the homotopy method is presented to work out all the complex or real solutions to the polynomial systems without initial value selection.
对于非线性多项式方程组,给出了应用同伦法无需选取初值求其全部复数解或实数解的数值算法。
In this paper,the method is suggested to determine multiple solutions of mechanical optimization problem by real number homotopy method.
提出用实数同伦法[1]确定机械优化问题的多个解的方法。
A numerical solution of new general homology function and homology continuation algorithm was put forward and programming with Maple10.
通过构造新型同伦函数并结合Maple高级程序设计语言的通用工具箱,提出了同伦算法的原理与实现方法。
Backcalculation of modulus for pavements based on homotopy method;
基于同伦方法的路面模量反算研究
Homotopy method for multi-objective programming problems;
多目标规划问题的同伦方法
A regularization homotopy method for solving nonlinear ill-posed problems;
求解非线性不适定问题的正则化同伦方法