This approach can guarantee that the identified parameters are optimal, by solving a one-dimensional polynomial equation instead of a nonlinear least square problem. 这种方法能够保证辨识出的参数是最佳的;而且不用求解对应的非线性最小二乘问题,只需求一元多项式的根,从而大大减少计算量。
An Accelerated Parallel Iteration Method with Parameters for Solving All Roots of a Polynomial Equation 一种求多项式方程根的参数并行加速迭代法
The greatest sum of the exponents of the variables in a term of a polynomial or polynomial equation. There is a power law relation between the modificatory factor and the time derivative of the period. 次数多项式或多项式方程中变量的幂的最大数从统计上得到修正因子与周期变率的幂律关系。
Lastly, under the optimum condition the experiment results and those from the equation were fitted well, so it indicated that the second order polynomial equation was feasible. 在最佳杀菌条件下得到的实验结果与模型预测值很吻合,说明所建立的模型是切实可行的。
Aiming at solving real roots of unitary real coefficients polynomial equation, a practical numeric solution is put forward. 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。
The parameters of polynomial equation for fitting the experimental results are also reported. 同时给出了关联实验结果的多项式方程的各参数。
Matrix Polynomial Equation and the Canonical Decomposition of Invertible System 矩阵多项式方程与可逆系统的典范分解
Those new methods are based on Jacobson's theory and its characteristic structure which make the problem equivalent to a 2 x 2 matrix polynomial equation with diagonalizable solutions. 新方法以四元数的复表示及其可对角化的特征结构为理论基础,将问题等价为求解2×2矩阵多项式的可对角化解;
A MinimizatiOn Method For Finding Roots of a Polynomial Equation 用极小化技术求多项式方程的根
The formulas that used in the iterative procedure are build by means of the distribution of the roots of polynomial equation on the plane, and therefore the generating images are designed in advance. 可以利用多项式的根在复平面上的分布构造用于迭代的计算式,使能够对生成图形进行预先设计。
Firstly, the parameters are estimated by using the recursive least_square method, then the control law is presented by solving a polynomial equation. 采用递推最小二乘算法进行参数估计,并通过解高次方程得到控制律。
The ( m, n)-threshold scheme, which is constructed on polynomial equation over finite field ( based on LaGrange interpolation formula), is secure as one-time pad's. 加密方案利用有限域中的多项式方程(基于LaGrange插值公式)来构造(m,n)-门限方案,该门限方案和一次一密乱码本一样安全。
Problems on Solving Real Roots of Unitary Real Coefficient's Polynomial Equation 一元实系数多项式方程实根的求解问题
An analytical expression for determining singularity configuration which is a polynomial equation is set, and the numeric symbolic manipulating technique is introduced in the paper. 该奇异位形判别式为一多项式代数方程,在推导过程中引入数值-符号处理技术,得到了多项式代数方程中每一系数的数值-符号形式的解析表达式。
On the basis of the character of the root of polynomial equation and well-known Newton Formula, the paper present a method to extract all real roots of polynomial equation and define initial value of iteration. 运用多项式方程根的性质理论及著名的牛顿公式,解决了牛顿公式用于多项式方程时迭代初值的选取,并求出多项式方程的所有实根。
In the programming for finding the eigenvalues of the companion matrix of the characteristic polynomial equation, a new balancing transformation technique is developed. 求解频率方程时采用求特征多项式伴随矩阵全部特征值的方法。
Two Iteration Methods for a Polynomial Equation 两个求解多项式方程的迭代法
In this paper, auxiliary estimating parameters of models based on bi-ology by polynomial equation was discussed. 本文尝试用多项式辅助估计生物学基础模型多数,并根据辅助对象划分为辅助微分模型和直接辅助参数估计法。
A new method for finding roots of polynomial equation 多项式方程根的求解方法
Auxiliary Estimating Parameters of Animal Growth Model by Polynomial Equation 用多项式辅助估计动物的生长模型参数
Linear Quadratic Control Using Polynomial Equation Method 使用多项式方程方法的线性二次控制
The paper makes some analysis and discussion for establishing stage-discharge relation model, selecting 3 mathematic models: power exponential equation, logarithmic function equation and floating polynomial equation, in allusion to the problems of decided line and calculated discharge by handwork. 文章针对手工定线、推流的诸多问题,采用幂指数方程、对数函数方程、浮动多项式方程等3种数学模型对水位流量关系模型的建立进行了一些初步分析、探索。
The three-dimension curved surface and the corresponding two-order polynomial equation were obtained through the simulation and regression analysis of numerical results by MATLAB and SPSS software. 利用MATLAB软件和SPSS统计分析软件,通过对数值结果的拟合与回归分析,得到描述浸润面趋势的三维曲面图,以及与趋势面基本吻合的二次多项式回归方程。
By solving the polynomial equation with respect to the variable of time, which describes the criterion of the trajectory reaching the critical potential energy point, the critical potential energy can be attained rapidly. 将到达临界势能点的判据展开以时间为自变量的多项式形式,通过解方程求得到达临界势能点的时间,从而快速确定临界势能点的位置。
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
Completing the analysis of the solutions of the quadratic equation by using the new method and also obtaining the diagonalizable solutions of standard matrix polynomial equation. 应用新方法完成了二次方程解的完整分析及得到了一般矩阵多项式方程的可对角化解。
Next, an equation system of the mechanism structure constraint and an initial equation system are established. Next, a versatile software for solving polynomial equation system is compiled. As giving one displacement, all inverse kinematics are obtained from this software. 建立了该机构的结构约束方程组和构造了初始方程组,编制了求解多项式方程组全部解的通用软件,并用编制的软件解出了该机构在一种位置下的全部位置反解。
Then polynomial equation model is established about beam deflection by the polynomial fitting method. 然后采用多项式拟合方法,建立梁挠度曲线的多项式方程模型,并将梁挠度最大值与真实理论值进行误差分析。
Therefore, this paper used quadratic polynomial equation to fit, and its first order derivation is optimal stand density of forest type. 故本文采用二次多项式方程进行拟合,对其一阶求导即得到各森林类型的适宜林分密度。