代数方程

一个求解非线性代数方程组软件GAS的实现

The Automatic Software GAS for Solving Nonlinear Algebraic Equation System

我们现在有一个代数方程，可以求解B稳态。

We now have an algebraic equation where we can solve for B steady state .

分别采用给定增益矩阵P求权矩阵Q和给定Q阵求P阵的两种方法来求解Riccati矩阵代数方程。

Two approaches are taken for solving the Riccati algebraic equation .

解线性代数方程组的PE方法

The convergence of pseudo-elimination method for solving system of linear algebraic equations

解线性代数方程组的二次PE方法和二次PEk方法

Quadratic PE and PE_k Methods of Solving a System of Linear Algebraic Equations

求解一类块线性代数方程组的LU分解算法

The LU Decomposition Solution for a Class of Block-Linear Algebraic Equations

求代数方程实根界限的VB例程

VB programming for real root boundary of algebraic equation

引入牛顿法线化N－S方程，使得用有限元离散后的大型代数方程组线性化，用高斯－赛德尔迭代法求解。

The Newton 's method is employed to linearize N-S equations , the finite element method is used to obtain discretized equations .

反应精馏（ReactiveDistillation，简称RD）是化工过程强化的重要方法之一，其数学模型一般为一具有强非线性的微分代数方程组，用传统方法进行数值模拟较为困难。

Reactive distillation is one of the important methods of process strengthening in chemical engineering .

连续部分利用重新定义的便于描述微分代数方程的连续Petri网，对应于位于远端的移动机器人。

By redefining the continuous Petri nets , we use it to describe the differential equations of mobile robot .

求解延迟微分代数方程的多步Runge-Kutta方法的渐近稳定性

Asymptotic Stability of Multistep Runge-Kutta Methods for Delay Differential Algebraic Equations

一种求解Riccati代数方程的新方法&矩阵符号函数法

Solving Riccati 's Algebraic Equation by Matrix Sign Function Method

导出了平面机构综合中经常出现的拟线性代数方程的数学机械化解，利用MATLAB系统强大的符号运算功能，给出了该数学机械化解的实现程序。

A mathematics mechanization on the quasi-linear equations from mechanisms synthesis was created . And the program of MATLAB on the related algorithm was presented .

针对高阶（k≥2）微分代数方程系统的归约问题，给出并证明了它的一类新的归约方法。

Aimed at the problem of the differential-algebraic systems with higher index ( k ≥ 2 ), a new explicit method of its reduction is given .

一种求解Riccati代数方程的降阶方法

Solving Algebraic Riccati Equation by Size - Reduction Method

同时，采用有限体积法将控制微分方程离散为代数方程，采用SIMPLE方法求解压力。

The finite volume method is used to transform the controlling differential equations into the algebra ones , and the semi-implicit method for pressure-linked equations ( SIMPLE ) is used to solve the pressure .

避免了Riccati代数方程的求解；

Avoiding to solve Riccati equation ;

根据这一理论设计出C语言程序，并且用C++Builder和Delphi作界面调用这一程序，设计出求解代数方程的计算器。

According to this theory , a calculator of extracting the roots of the algebraic equation is made by using C program , ( C + + ) Builder and Delphi .

利用Fourier分析方法将非线性Coulomb摩擦接触边界波动问题化为一组代数方程。

Fourier analysis is used to cast the considered non_linear wave problem with unilateral Coulomb frictional boundaries to a set of algebraic equations with a simple form .

将求解亚定线性方程组的基本ABS算法进行修改，使之适用于求解超定线性方程组。在满足适当精度的要求下将问题进一步归结为求一超定线代数方程组的最优解。

It proposes a class of modified ABS algorithms for solving overdetermined linear system of equations . Then this problem is further reduced to an overdetermined linear system .

详细介绍了计算流体力学的基本理论和方法、求解代数方程的SIMPLE计算方法以及各种网格生成技术。

A detailed analysis of the basic theory and method about Computational Fluid Dynamics is presented , including contrast and analysis of various models for turbulence , SIMPLE computational method for solving algebra equation group and various techniques for creating grid .

所提出的新综合方法的特点是避免了对Riccati代数方程进行数值求解。

A characteristic of the synthesis method given is that the necessity of solving numerically the Riccati matrix equation is avoided .

求解高次实系数代数方程的Excel算法较程序化地给出了实系数多项式函数实数根的求法。

Excel Method for Calculation Roots of High Order Real Algebraic Equations ; Methods of exploring the real number roots of a real coefficient polynomial function are procedurally given .

采用GMRES算法求解离散所得的大型非对称稀疏代数方程组。

The GMRES method is used to solve the large non-symmetric sparse algebraic equations .

非线性RK方法求解微分代数方程

Nonlinear Runge-Kutta methods for solving differential-algebraic equations

一类求解非线性代数方程组的并行多分裂AOR算法

Parallel Multisplitting AOR Method for Solving a Class of System of Nonlinear Algebraic Equations

第四章引入与系统参数有关的特征代数方程组，清晰明确地刻划出所研究问题的临界指标，得出了系统解的整体存在和有限时刻Blow-up的判定准则。

In Chapter 4 , we establish the critical exponents of the model and get the blow-up criteria for the solutions .

再通过求解该代数方程组，利用解析法对饱和地基上Timoshenko梁的稳态振动进行了系统分析。

Then through solving the algebraic equations , steady-state vibration of Timoshenko beam of saturated soil is systematically analyzed by using analytical method .

首先将二阶Euler－Lagrange方程组化为一阶超定微分／代数方程组，然后通过引入附加Lagrange乘子的方法构造了相应的约束稳定算法。

The second order Euler-Lagrange equations are transformed to a set of first order overdetermined differential / algebraic equations . The corresponding constraint stabilization algorithm is constructed based on lagrange multiplies .

逐次超松弛迭代（SOR）法是求解代数方程组应用较为广泛和有效的方法之一。

The successive overrelaxation ( SOR ) method is one of the more efficient and widely used iterative methods for solving linear systems .