| 1. | The approach of combination matrix on bivariate three degree polynomial equation system with symbolic coefficients
符号系数二元三次方程组的组合矩阵方法 |
| 2. | Solving systems of ( symbolic or numerical ) polynomial equations in several variables has been a very important topic for theoretical oriented research groups
多项式组的求解(包括符号和数值的)不仅有很强的理论意义，同时也有广泛的应用前景。 |
| 3. | We propose a new algorithm for a sample and all nash equilibria by using heuristic search in game supports and the solution techniques of polynomial equation systems
摘要应用搜索博弈支持集和方程组求解技术，提出了一个计算单一和全部纳什均衡点的启发搜索方法。 |
| 4. | Firstly , a 52 degree univariate polynomial equation is deduced by using resultant elimination method . 6 extraneous roots are found during the process to obtain the other 3 variables by using euclidean algorithm
首先使用结式对4个多项式方程直接消元，得到1个一元52次的多项式方程，再用辗转相除法求其他3个变量，在此过程中发现了6个增根。 |
| 5. | To solve the polynomial equation ? ( z ) = 0 , this paper proposes a simultaneous iteration and investigates its convergence and initial condition . it proves that the convergence has order 3 under the initial condition
摘要采用文[ 1 - 3 ]中提到的加速方法，对经典的牛顿迭代法进行加速，得到了一个新的求多项式方程根的迭代法，主要对其收敛性进行了分析，得到了在较好的初始条件下该法是3阶收敛的。 |
| 6. | The production reason of extraneous roots is analyzed and the improved method is proposed , that is the degree of the variables during the elimination process is reduced by searching relations among the vectors , so that a 46 degree univariate polynomial equation can be obtained directly
分析了产生增根的原因并提出了消元过程中避免增根的改进措施，即寻找相关向量之间的关系，在消元过程中降低变量的次数，直接得到一元46次方程。 |
| 7. | Based on the cutting force surface model , a polynomial equation of side cutting depth and feedrate is created to calculate the feedrate of each cl data and the calculated feedrate value is written out with the g - code position data block to an updated version of the die - cavity
基于切削力曲面模型，采用多项式拟合的方法构建刀具在许可切削力下的侧向切深和进给率的方程，根据建立的方程计算每个刀位点处的进给率并反写到初始的g代码文件中。 |
| 8. | A set of nonlinear equations of precise synthesis are established for special case according to co - planarity and equal distance conditions . by resultant elimination , 3 polynomial equations containing 3 variables are obtained . all of the groups of real solution within a certain value range are generated with computer graphic method
针对实现两个函数，每个函数四个精确点的rssr机构，通过结式消元法消元，得到三元高次多项式方程组，并采用计算机图解法，在一定值范围内解出了方程组的全部实数解。 |
