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.
举例来说，一个学生可能在代数方程序的学习上有困难，但他可能在空间几何方面有天赋。
A student who has trouble with algebraic equations, for instance, may have a talent for spatial geometry.
采用收敛速度快的块迭代法解代数方程组。
The block iteration method is used in solving these linear equations.
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.
差分方程形成的代数方程组用线松弛迭代求解。
The algebraical equations obtained from the difference equations are solved by the line relaxation iterative method.
移项把(一个项)从代数方程的一边移到另一边。
To move (a term) from one side of an algebraic equation to the other side, reversing its sign to maintain equality.
最优偏置参数能用一个易于求解的代数方程表示。
Optimum bias is expressed through a simple algebraic equation.
后者以高斯的“代数方程的基本定理”作为结束。
The latter is concluded by Gauss's famous "Fundamental Theorem of Algebra".
问题最后可归结为求解一组无穷型的线性代数方程。
The solution of the problem is finally reduced to solving a set of infinite algebraic equations.
讨论使用迭代法解线性代数方程组的误差检验问题。
In solving system of linear algebraic equation with iteration method, the error checking is discussed.
结构分析的数值方法最终归结为代数方程组的求解。
The application of numerical value method to structure analysis leads to solving a set of algebraic equation.
非线性代数方程组的求解是一个尚未完全解决的问题。
The solving of nonlinear algebraic equation system still needs further study.
飞行动力学研究中常遇到求解非线性代数方程组的问题。
The solution of nonlinear algebraic equations is usually met in the study of flight dynamics.
本文介绍了一种求实系数高次代数方程全部根的新方法。
This paper presents a new method in which all roots of a higher degree algebraic equation with real coefficients can be found out.
根据逻辑代数方程理论，提出了格蕴涵代数方程的概念。
According to the theory about logic algebraic equation, the notion of lattice implication algebraic equation was proposed.
本文提出求解微分代数方程的一类并行算法，进行误差估计。
In this paper, a class of parallel algorithms for the problems in differential algebraic equations are proposed. The errors of the algorithms are estimated.
提出一种求解非线性代数方程和非线性常微分方程的新方法。
A new approach for solution of nonlinear algebraic and differential equation sets was presented.
问题最后和初参数算法一样能归结为求解一个低阶代数方程组。
Finally, the problems can be reduced to solving a low order system of algebraic equations like the initial parameter algorithm.
这些系统能够用定常差分方程，有时甚至能用代数方程来描述。
They are described by ordinary difference equations, or in some cases by purely algebraic equations.
将偏微分控制方程化为三次代数方程，获得结构内力的精确解。
After partial differential equations was changed into cubic algebraic equation, accurate solution of the structure was able to be obtained.
本文给出线性代数方程组反问题的对称矩阵解，及其通解表达式。
To the inverse problem of the system of linear algebraic equations, tiauthor gives a symmetric matrix solution and the expression of its general solution.
采用样条插值函数将均匀介质的边界积分方程离散为代数方程组。
The boundary integral equation in homogeneous media was dispersed into algebraic equations through the use of spline function.
常系数的常微分方程变换为代数方程可以用于实现传递函数的概念。
Ordinary differential equation with constant coefficients transform into algebraic equations that can be used to implement the transfer function concept.
用有限体积法离散控制方程，用块隐式法求解离散后的代数方程组。
The governing partial differential equations were discretized by finite volumes and the nonlinear algebraic equations were solved by a block implicit algorithm.
通过变换可将该无约束优化问题转化为求解非线性代数方程组的问题。
This unconstrained optimization problem may be transformed into nonlinear algebraic system of equations.
大型稀疏代数方程组是稳态过程模拟与过程设计数学模型的典型形式。
A large system of sparse linear and nonlinear algebraic equations is the typical form of mathematical models of process design and steady state process simulation.
由二阶谐波平衡法得到的非线性代数方程组很容易用符号运算软件求出。
The nonlinear algebraic equations for the second order approximate solution were solved by using symbolic computation software.
本文研究了具有滞后的代数方程解的存在性，唯一性及解对滞后的依赖性。
In this paper, the existence and the uniqueness of the solutions of the algebraic equation with time lags are investigated, the dependence of solutions on the time lags is investigated also.
对系统应用第一类拉格朗日方程，得到系统位形坐标的微分—代数方程组。
Apply Lagrange equation of the first kind to the system, and get a set of the differential - algebraic equations (DAEs) of its absolute coordinates.
对系统应用第一类拉格朗日方程，得到系统位形坐标的微分—代数方程组。
Apply Lagrange equation of the first kind to the system, and get a set of the differential - algebraic equations (DAEs) of its absolute coordinates.
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