代数方程组

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

同时推导出了含有六个方程的线性代数方程组，并给出了透射系数和反射系数的解析表达式。

The system of linear algebraic equations , which contain six equations , is deduced and the expressions of the reflection and transmission coefficients are obtained .

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

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

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

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 .

解线代数方程组的游动点估计量零方差MonteCarlo迭代格式

A zero variance iteration scheme of collision estimator for solving linear algebraic equations by Monte Carlo method

离散后的三对角线性代数方程组用ADI方法求解。

The discretized tri-dia-gonal linear algebraic equations are solved with ADI method .

解线性代数方程组的传统方法是利用LU分解等直接求解，虽然传统方法具有理论上直接得到真解的优点，但当系数矩阵条件数很大时，存在严重的稳定性问题。

The traditional methods are to solve the linear algebra equations directly , based on matrix factorization such as LU decomposition .

称由基尔霍夫（Kirchhoff）定律建立的线性代数方程组为基尔霍夫方程组。

The Kirchhoff equations is the linear algebraic equations set up by the Kirchhoff theory .

然后以三次B样条函数为试函数，用配点法将此线性的微分方程组化成线性代数方程组。

Then choosing cubic B-spline function as try function and by the method of point collocation , the linear differential equations can be transformed into linear algebraic equations which can be solved by using recursion formulas .

超立方体连接的分布式存贮MIMD上稠密线性代数方程组求解

Solving Dense Linear Systems on Hypercube Connected MIMD Distributed-Memory System

一类非线性代数方程组的并行算法&适用于MIMD系统

A parallel algorithm for a class of nonlinear equations applicable to MIMD systems

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 .

解一类病态线性代数方程组的逐次调整消元（SAE）法

The Successive Adjustment Elimination ( SAE ) Method of Solving some Systems of Linear Equation with Ill-condition

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 .

一类复代数方程组的高阶PCG法

High-order PCG method solving complex systems

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

形成的代数方程组用带有预条件器的共轭梯度平方法（CGS）求解。

The discrete algebraic equation systems are solved using CGS method with incomplete LU preconditioner .

将网架的联立线性代数方程组看作是泊松（Poisson，S.D.）方程的差分方程。

The linear algebraic equations are solved usually by treating them as difference equations of Poisson 's equation .

将级数解代入边界条件，通过傅立叶级数法可建立有关待定系数E的线性代数方程组。

The series in real form are substituted to the boundary conditions and a set of linear algebraic equations with undeter - mined displacement coefficient ( E ) is obtained by the method of Fouries series .

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 .

给出一个串行模拟在分布式存储MIMD一级3叉树机上求解任意三对角线性代数方程组的分布式迭代算法的C语言程序。

This paper gives a C program used in the analogue-distributed parallel algorithm which is based on the 1-th and 3-nary machine model with MIMD computer of distributed memory to solve a Tri-diagonal system .

用Galerkin方法把无量纲化之后的控制方程转化为一组非线性代数方程组。

Galerkin ′ s method is used to transfer dimensionless governing equations to an infinite set of nonlinear algebraic equations . All equations have been made dimensionless and weighted function has been taken as one .

第二节利用covolume方法的基本思想建立离散格式（代数方程组）。

The second section forms the algebra equations of the discretization scheme depending on the basic idea of covolume method .

提供两个高效而实用的FORTRAN程序（例行子程序形式），用于对称三对角矩阵的两个计算问题（其一是线性代数方程组的求解，其二是广义特征值问题的计算）。

This paper provides two FORTRAN subroutines for the two computational problems of the symmetric tridiagonal matrix ( solution of the system of liner algebraic equations , and computation of the generalized eigenvalues and eigenvectors ) .