Such as solving linear equations, random number generator.
如解线性方程、随机数产生器。
The one-dimension projection algorithm, which is the steepest descent method, based on residual space for solving linear equations is analyzed in this paper.
分析了基于残差空间求解线性方程组的一维投影算法、最速下降法和最小剩余法。
The one-dimension projection algorithm, which is the steepest descent based, base d on residual space for solving linear equations is analyzed in this paper.
本文分析了基于残差空间求解线性方程组的一维投影算法即最速下降法。
Sequence transformation is based on the principle of extrapolation, interpolating certain items by the kernel of the sequence, and finally is obtained by solving linear equations.
序列变换是依据外推法的原理，通过序列的核来插值序列的某些项，最后求解线性方程组得到的。
After solving the system of linear algebraic equations, another problem is induced that requires revising this coefficient matrix in order to get a new system of equations.
在线性代数方程组已解出之后，另一个课题需要修改它的系数矩阵，从而得到一个新的方程组。
This dissertation successfully used cluster computing for solving large-scale linear algebraic equations problems when the finite element method (FEM) is applied in electrical prospecting.
本文成功地将机群计算应用到解决在电法勘探中使用有限元方法（FEM）时产生的大规模线性方程组问题。
A nonlinear system parameters identification problem is investigated in this paper by introducing a relaxation method used for solving the linear equations of the system.
研究了非线性参数系统模型的识别问题，通过引入求解线性方程组的松驰法思想，构造了一类新的迭代识别算法。
This method can detect and diagnose sensor fault with fixed deviation by establishing linear equations utilizing the residual characteristics of energy conservation equation and solving them.
该方法利用能量守恒方程的残差特征建立线性方程组，通过求解方程来完成多个具有固定偏差的传感器故障的检测和诊断。
The method ICCG. is one of the best iterative method for solving the system of linear algebraic equations, but it can only be applied to the symmetric and positive definite coefficient matrix.
ICCG方法是解线性代数方程组较为理想的方法，但它仅适用于具有正定对称的系数阵。
This paper is investigated a preconditioned conjugate gradient method in solving a linear algebraic system of large sparse symmetric and positive equations.
本文研究了解决大型稀疏对称正定线性方程组的一类预条件共轭梯度法。
From the basic equations of a linear viscoelastic solid, we introduce general expressions of displacement so that the problem is reduced to solving a linear integral equation.
直接从线性粘弹性基本方程着手，引进位移的一般表达式，将问题归结为求解一个线性积分方程。
In the practice for production and scientific experiment the problem of solving large system of linear equations is often met with.
在生产实践和科学实验中常会迂到求解大型线性方程组的问题。
In this paper, an algorithm for finding the inverse matrix of tridiagonal matrix by solving systems of linear algebraic equations is proposed.
根据三对角矩阵的特点，给出一种利用解线性方程组的方法求三对角矩阵的逆矩阵的算法。
Numerical experiments show that RTFHM is efficient for solving linear and nonlinear non-stiff delay differential equations.
数值试验结果表明，RTFHM对线性和非线性的非刚性延迟微分方程都是有效的。
The unified method of solving LDS(linear discrete system) difference equations of determinate and time varying coefficients as well as stochastic and stochastic time varying coefficients is proposed.
首次给出求解确定性与随机常系数差分方程及确定性与随机时变系数差分方程的统一方法；
Swiss mathematician who is known today for Cramer's rule for solving a system of linear equations.
瑞士数学家，因解线性方程组的克莱姆法则而为今人所知。
Then we use the descending dimension algorithm to transform the quadratic program problems into solving a system of linear equations.
本文提出具有线性等式约束多目标规划问题的一个降维算法。
The difficulty in solving this system of non-linear equations is the choice of an initial value, close enough to the true solution to assure convergence.
求解时遇到的主要困难是选择一组足够靠近真解的初值，以保证迭代过程的收敛。
The old methods about solving a system of linear equations all base on using the row's elementary operation to matrix of coefficients or augmented matrix.
现有的关于线性方程组的解法，都是基于对系数阵或增广阵施行初等“行”变换。
Chapter five presents the modified ABS algorithms for solving linear overdetermined linear Diophantine equations and inequations.
第五章给出了求解超定线性丢番图方程组和不等式组的修正abs算法。
There are many methods to solving interior economical operation of the hydroelectric power such as equal incremental equations method, dynamic programming and non-linear programming.
求解水电厂厂内经济运行的方法很多，如等微增率法、非线性规划和动态规划法等。
In the present work, a method for solving the linear delay differential equations of the boundary-value function problem by using Taylor series is given.
本文对线性时滞微分方程边值函数问题提出一种级数近似解方法。
An all-purpose algorithm, Monte Carlo algorithm, for solving linear and nonlinear system of equations was presented in this paper.
提出一种求解线性和非线性方程组的通用算法——蒙特卡罗算法。
The ABS class of algorithms is one of projection algorithms for solving systems of linear and nonlinear equations.
ABS算法是一类求解线性与非线性方程组的投影算法。
In the process of calculation, the computing program is convenient and efficient, there needs no solving of the linear equations and the space precision method is applied directly.
在计算过程中，不解线性方程组，直接进行精细迭代计算，程序简单，效率高。
Finally, the fairing curve can be obtained by solving a linear system of equations.
最终通过求解线性方程组得到光顺曲线。
Demonstrated in this paper is how the Constant-transform method, the typical method for solving differential equations of order one, is used in solving linear differential equations of order three.
利用常数变易法求解具有实特征根的四阶常系数非齐次线性微分方程，在无需求其特解及基本解组的情况下给出其通解公式，并举例验证公式的适用性。
The paper is intended to develop a parallel iterative method for solving positively definite linear algebraic equations, Its convergence has been proved.
本文将给出另一种并行算法。来求线性代数方程组的迭代解，并证明其收敛性。
Several lectures are devoted to solving non-linear equations, including root finding.
另外也有几堂课用来求解非线性方程式，包括求根；
Several lectures are devoted to solving non-linear equations, including root finding.
另外也有几堂课用来求解非线性方程式，包括求根；
应用推荐