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.
但由于边界元法得到的求解代数方程组的系数矩阵是满阵，对其解题规模有很大的制约作用。
But the scale of the problem that can be solved by BEM is greatly limited, because the matrix of the system equations generated by BEM is fully populated and unsymmetrical.
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.
离散后的三对角线性代数方程组用adi方法求解。
The discretized tri-diagonal linear algebraic equations are solved with ADI method.
“可调节参数的修正迭代法”求解非线性代数方程组。
The value of linear solutions is treated as initial value of the nonlinear solutions for iteration.
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.
在不同的风速条件下，采用牛顿下降梯度法迭代求解非线性代数方程组形式的系缆气球平衡方程。
For the different wind speed, the equilibrium points could be got from the trim equations solving by Newton iteration method.
之后，借鉴牛顿法、平衡法和摄动法对由移动最小二乘法得到的非线性代数方程组提出了新的求解方法。
And then an new iterative method is presented to solve the nonlinear equations system obtained from moving least-square approximation.
为了保证非线性代数方程组求解的收敛性和稳定性，该文根据微梁的受力特点提出了一种增量迭代的算法。
In order to guarantee the convergence and stability in solving nonlinear algebraic equations, an incremental iterative algorithm was put forward according to the load characteristic.
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.
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.
基于对偶边界积分方程（DBIE）构造代数方程组，采用广义极小残值迭代法（GMRES）求解。
The algebraic equation from the dual boundary integral equations(DBIE) was solved using the generalized minimum residual method(GMRES).
因此，该问题的解答可归结为对一组无穷代数方程组的求解问题，并可利用截断有限项的方法对其进行计算。
Therefore, the solution of the problem can be reduced to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations.
确定了本文数值模拟所采用的网格的生成技术，对流扩散项的离散格式，压力修正与速度修正方法，以及非线性代数方程组的求解方法。
The grid generation technique, difference scheme of convective and diffusive terms, pressure and velocity correction methods and arithmetic of nonlinear equations are determined.
利用线性叠加原理，通过求解两组代数方程组，从而分离出点力与点电荷的耦合作用。
Then by the principle of superposition and solving two sets of algebraic equations, the interaction between the point force and the point charge was uncoupled.
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.
用延续算法对该代数方程组进行求解，得到系统的周期解。系统周期解的初始值通过时域数值积分得到。
The system of nonlinear algebraic equations is solved by using the continuation method and its periodic solution is obtained.
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.
稳定化双共轭梯度法用于求解稀疏线性方程组，可调节参数的修正迭代法用于求解非线性代数方程组。
Linear equations of sparse matrix are solved by Biconjugate Gradients Stabilized Method and nonlinear algebraic equations are solved by parameter-regulated iterative procedures.
采用变分法求解薄板大挠度问题的高级近似解时将导致多元三次代数方程组。
The problem of solving large deflection plate by the variational method is changed into that of solving systems of cubic algebraic equations with multi-unknown quantities.
由于二维三温热传导方程具有很强的非线性特性，因此采用全隐格式对该方程离散后，所得非线性代数方程组的求解将变得非常困难。
As 2-d 3-t heat conduct equations are discretized in a fully implicit method, it is very difficult to solve the nonlinear algebraic equations obtained due to strong nonlinearity.
对多钉连接件钉传载荷的计算问题提出了一个解析分析方法，推导了求解钉载的线性代数方程组并给出了若干算例。
A new analytical method of pin load computation for joints with multi-rivets or multi-bolts is presented by means of mathematical theory of elasticity and classical principle of structural mechanics.
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.
本文使用的数学机械化方法可推广到涉及非线性代数方程组的其他机构学问题的求解。
The mathematical mechanization method can be extended to solve other mechanism problems involving nonlinear equations symbolically.
该问题的解答，可以应用移动坐标的方法逐个满足各个圆孔上的边界条件，因此，最终又可归结为对一组无穷代数方程组的求解，可利用截断有限项的方法对其进行计算。
And finally, the solution of the problem can be reduced to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations.
构造了逼近这个问题解答的完备的函数序列和边界条件表达式，并将问题归结为对一组代数方程组的求解。
The complex function series which approach the solution of that problem and general expressions for boundary, conditions are given. The problem is reduced to the solution of algebraic equations.
限定了目标点井眼方向的三维圆弧型井眼轨道设计模型是一个非线性代数方程组，通常需要使用数值迭代方法进行求解。
The borehole trajectory design to be drilled well with defined direction needs to solve a set of 7-element nonlinear equations.
限定了目标点井眼方向的三维圆弧型井眼轨道设计模型是一个非线性代数方程组，通常需要使用数值迭代方法进行求解。
The borehole trajectory design to be drilled well with defined direction needs to solve a set of 7-element nonlinear equations.
应用推荐