the algebraic equation from the dual boundary integral equations(dbie) was solved using the generalized minimum residual method(gmres).

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。

this paper presents a new method in which all roots of a higher degree algebraic equation with real coefficients can be found out.

本文介绍了一种求实系数高次代数方程全部根的新方法。

by use of a new differential algebraic equation (dae) model and direct method of reduction, the authors calculate the saddle-node bifurcation (snb) point and the calculation amount is reduced.

采用新的微分代数方程模型和降阶直接法计算鞍结分岔点，减少了分岔点的计算量。

in this paper the algebraic equation model for reynold's stresses is applied to the numerical modelling for velocity field in the combustion chamber of a utility boiler.

本文将雷诺应力代数方程模型应用于锅炉燃烧室流动过程数值模化。

the simultaneous solution for differential and algebraic equation is applied in order that the fast action of facts devices can accurately respond to the power system transient.

为了适应facts设备对电力系统暂态过程的快速作用，本文采用微分方程与代数方程联立求解法求解。

according to the theory about logic algebraic equation, the notion of lattice implication algebraic equation was proposed.

根据逻辑代数方程理论，提出了格蕴涵代数方程的概念。

the deflection differential equation of the cranes box boom is changed into algebraic equation by finite difference in this paper.

本文应用有限差分法，将起重机箱形伸缩臂挠曲微分方程变为代数方程求解，实现用二阶应力理论对吊臂进行弹性设计。

besides, with the calculator the riccati algebraic equation was solved to obtain the optimum control system.

并使用计算机来求解代数黎卡堤方程，以实现系统的最优控制系统。

the second step deals with nonlinearity by solving a nonlinear algebraic equation (group) and satisfies constraint by desaturation.

第二步通过求解非线性代数方程（组）来处理非线性并通过解饱和来满足约束。

a complex example which was composed of partial differential equation, differential equation and algebraic equation was used to discuss this method.

本文以一组由偏微分方程、常微分方程、代数方程等不同类型方程构成的复杂方程组为例，剖析了这一方法。

the equivalauce of roots and solutions between algebraic equation and algebraic equation with time lags is considered.

也考虑了在根与解的问越上代数方程与具有滞后的代数方程的等价性。

to move(a term)from one side of an algebraic equation to the other side, reversing its sign to maintain equality.

移项 把（一个项）从代数方程的一边移到另一边。

in solving system of linear algebraic equation with iteration method, the error checking is discussed.

讨论使用迭代法解线性代数方程组的误差检验问题。

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

我们现在有一个代数方程,可以求解b稳态。

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.

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。

this new method is of considerable value in theory and application and also is one of the effective techniques for solving algebraic equation by numerical calculation.

此方法是用数值计算求解代数方程的比较有效的方法之一，具有一定的理论价值和应用价值。

the solving of nonlinear algebraic equation system still needs further study.

非线性代数方程组的求解是一个尚未完全解决的问题。

based on simple algorithm, the discretization algebraic equation of nonaxisymmetry three dimension turbulent flow is established, and it can simulate nonaxisymmetry three dimension turbulent flow.

以s i m p l e算法为基础，建立了圆柱坐标系下非轴对称三维湍流流动离散化的代数方程，从而可以对非轴对称三维湍流流动进行数值模拟。

by using the orthogonality condition of augmented eigenvector of multibody system, the algebraic equation group with unknowns of structure parameter is formed.

利用多体系统增广特征矢量的正交性条件，可建立以系统物理参数为未知数的代数方程组。