The analysis of computation time of different subroutines shows that the solution of linear equations account for 75 percent of total workload and it is also the main work in the study.
通过对串行程序中各功能模块计算工作量的分析，线性方程组的求解在该串行程序中占有75%的工作量，并行求解线性方程组是本论文的一项主要工作。
To the inverse problem of the system of linear algebraic equations, tiauthor gives a symmetric matrix solution and the expression of its general solution.
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。
In the second part, we mainly consider oscillations of solution of some linear and nonlinear partial difference equations with discrete variables and delays.
第二章主要是研究某些类型的线性或非线性的带有离散时滞的偏差分方程解的振动性的判别法。
Such steps mean the simultaneous solution of either two linear equations.
这样的步骤意味着同时求解两个线性方程。
Analyzing inverse DFT, we obtained a system of linear equations, whose solution can be taken as the spectrum of the data series.
通过对离散傅立叶逆变换的分析，我们得到一个线性方程组，它的解可以作为序列的谱。
In this paper, we study an approximate solution of the second-order linear ordinary differential equations with variable coefficients.
本文研究了二阶变系数线性常微分方程的一种近似求解方法。
On the basis of the solution identification theorem in linear equations, a method is presented to ascertain whether there exists all-nonzero solutions to an inhomogeneous linear equation.
在线性方程组有解判别定理的基础上，给出了一个判定非齐次线性方程组存在全非零解的方法。
The solution of system of linear congruence equations can be provided by the Chinese remainder theorem or recursive process.
一般可以用中国剩余定理或者递推算法等方法给出一次同余方程组的解法。
Row standard simplest form matrix is introduced, the traditional solution of system of linear equations is improved and the solution process is standardized.
本文引进规范行最简形矩阵概念，改进了线性方程组的传统解法，并规范了解题过程。
The basic idea is to use the single crack solution and the expansions of the local coordinates to reduce the complicated problem into a set of linear algebraic equations.
基本思想是首先利用圆盘状单裂纹之解以及局部坐标展开法将裂纹群问题化为求解一组线代数方程。
Because of the linear limit condition of equivalent composite sandwich shells, the problem gets much more simple during the solution of equations.
由于夹层壳结构的极限条件是线性的，因而在求解时问题得到了大大的简化。
This paper presents directly the general solution to sets of linear equations by properly bordering on augmented matrix and elementary transformation, and produeces some theoretical proving.
通过对增广矩阵适当“加边”，利用矩阵的初等行变换，直接求出线性方程组的通解形式，并在理论上给予了论证。
The judging methods of the vectors group related dependence from determinant values, rank of matrix, solution of system of linear equations etc were studied.
将行列式的值、矩阵的秩、齐次线性方程组的解等知识运用于向量组线性相关性判定，归纳出六种判定向量组线性相关性的方法。
Based on the iterative solution of linear algebra equations, the parallel computational steps are introduced in this method.
基于线性代数方程的迭代解，并行计算步骤，在该方法中引入。
Based on the concept of linear predication coding, analyzes and researches the linear predication coding technique and the auto-correlation solution of its LPC regularity equations.
从线性预测编码技术的概念入手，分析和研究了线性预测编码技术及其LPC正则方程的自相关解法。
Using the exponential dichotomy and ergodicity of functions, we discuss the existence conditions of asymptotically almost periodic solution for some linear differential equations.
利用指数二分及函数的遍历性，讨论了一类线性微分方程渐近概周期解的存在性。
The paper investigates the solution of a class of linear homogeneous differential equations with varied coefficients and methods of decreasing order of the DE.
探求一类变系数方程的求特解的方法以及对方程的降阶。
The dynamic equation of motion chain is a group of high non-linear differential equations, the solution is difficulty.
锚泊线的运动方程是一组高非线性的偏微分方程组，求解困难。
The article discusses rank of a matrix by the solution theorem of system of homogeneous linear equations, and proves several famous inequalities and two propositions on rank of a matrix.
利用齐次线性方程组解的理论讨论矩阵的秩，给出几个关于矩阵秩的著名不等式的证明，并证明了两个命题。
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。
In this paper, the tangent spectrum method is extended to account for solution of incremental dynamic equations of RC structures with general segmental linear hysteretic models.
对切线谱法进行拓展，使之适用于具有一般分段线性恢复力模型结构的非线性地震反应增量运动方程的求解。
With the help of auxiliary variables or plane, a graphical solution for homogeneous linear equations is presented.
借助于辅助变量，或辅助平面，提出了齐次线性方程组的图解法。
Through suitable transformations, the solution of the simultaneous pole assignment problem is resort to the solution of a number of linear equations.
通过适当的变换，将同时极点配置问题归结为一系列线性方程组的求解问题。
Kepler s equations can be solved with the gradual approach, which can be further extended to the solution of the non-linear equations.
求解开普勒方程可用逐次逼近法，这种方法还可推广到非线性方程的求解问题中。
Many mathematical models in the fields of physics, chemistry, biology and geology can be boiled down to the fixed solution problem of linear or nonlinear partial differential equations (PDE.)
物理、化学、生物、地质等领域的很多模型都可归结为线性或非线性偏微分方程的定解问题。
A solution of linear circuit based on Kirchhoff"s rule and its dual rule is presented. By means of this solution, analysis are required to the structure of graph, no any circuit equations are needed."
提出一个建立在基尔霍夫定则及其对偶定则基础之上的线性电路解法，只需对网络图的结构进行分析，不需列写任何电路方程式。
Precise integration method for a kind of non-homogeneous linear ordinary differential equations is presented. This method can give precise numerical results approaching the exact solution.
提出了一种求解一类非齐次线性常微分方程的精细积分方法，通过该方法可以得到逼近计算机精度的结果。
Using linear transform, the simple proof for solution of higher order linear differential equations was given.
利用线性变换，统一给出常系数线性方程齐次通解和非齐次特解解构造定理的简化证明。
Using linear transform, the simple proof for solution of higher order linear differential equations was given.
利用线性变换，统一给出常系数线性方程齐次通解和非齐次特解解构造定理的简化证明。
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