The m-homogeneous homotopy method gives a better upper bound for the number of solutions to a polynomial system.
齐次同伦方法给出了方程组解的个数一个比较紧的上界。
参考来源 - 计算最小m—齐次Bézout数的启发式算法The homotopy method is awidely convergent method for solving the nonlinear operator equation and also hasimportant applications in many fields.
同伦方法是求解非线性算子方程的一种大范围收敛的方法,在许多领域有着十分重要的应用。
参考来源 - 流体饱和多孔介质弹性波方程正反演方法研究·2,447,543篇论文数据，部分数据来源于NoteExpress
理论和数值实验都表明同伦方法是一种收敛稳定的方法。
Theory and numerical simulation show that the method presented is a convergence and stable method.
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.
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.
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