系数矩阵

That algorithm only needs to solve two systems of linear equations with the same nonsingular coefficient matrix.

只需求解两个具有相同系数矩阵的线性方程组以得到搜索方向。

It only needs to solve two systems of linear equations with the same nonsingular coefficient matrix, which results in a less computation.

该算法只需求解两个具有相同系数矩阵的线性方程组以得到搜索方向，因此计算量较小。

Based on a 5th-order model and the electromagnetic characteristics of an induction motor, we prove that the coefficient matrix is nonsingular, confirming the existence of the inverse decoupling control of stator flux and torque in any conditions.

本文从异步电动机的5阶模型及其固有的电磁特性出发，证明了其系数矩阵的非奇异性，进而结合逆系统理论证明定子磁链与电磁转矩的逆解耦在任何状态下都是存在的。

A important result is the one-order expression of AR Yt = DYt-1 + E, from paralleling a high-order differential equation transformation into a one-order differential equation system, the one-order expression exposes that the AR is only a certain more-multivariable power series processAnd, if a process is described as an AR, the sufficient and necessary condition is the spectrum norm A of the coefficient matrix D less than one.

作者用高阶微分方程化一阶微分方程组的方法，获得多元弱平稳序列p阶自回归模型的一步滑动平均表达式，证明了AR的是一个更高维的幂级数的线性过程，从而，说明了AR关于序列依概率成立的充要条件是：该模型更高维的幂级数的线性过程的表达式中系数矩阵D的谱范数λ＜1。

In this paper, the stability of the normal equations in the adjustment and its effects on the estimation of parameters are discussed in a great detail along with the methods and theories of GPS short—arc adjustment.

本文分析了在GPS定位中平差模、型法方程组系数矩阵状态的稳定性及对参数估计的影响，进一步探讨了适合于GPS短弧法平差的理论和方法。

As an additive N-way classification model is fitted to the data, the structure of the coefficient matrix of reduced normal equation obtained by eliminating the parameters of the other factors is discussed.

当对由实验所产生的资料配适具相加性的N-方式分类模型，我们讨论消去与其他因子有关的未知参数所获得之缩小的正规方程的系数矩阵之结构。

A new method for construction of multiwavelet filter coefficients matrix using orthonormal expansion technique was proposed.

根据正交多小波的特点，提出了一种利用正交扩充来构造多小波滤波器系数矩阵的方法。

In the parallel program, the in-core and out-of-core algorithms can be identified and chosen to use automatically. So the algorithms are united.(3) The re-orthonormalization technique is used to solve the loss of orthonormality of basis vector during the classical GMRES method solving large-scale three dimensional elasto-static BE problems.

3采用重正交技术解决了经典GMRES方法在求解大型三维弹性静力边界元问题过程中出现的基向量正交性丧失的问题；结合边界元基本解和系数矩阵的特点以及并行化的要求，研究了几种预条件技术；并以重正交技术和预条件技术实现了经典GMRES的实用化。

In this study, symmetric successive overrelaxation preconditioned conjugate gradient algorithm is used to solve large linear system derived from 3-D finite-element resistivity forward modeling. Using row-indexed sparse storage mode to store coefficient matrix, the algorithm converges much quickly and requires much less storage of computer.

引入对称超松弛预条件共轭梯度迭代算法求解电阻率三维有限元计算形成的大型线性方程组，并有机结合系数矩阵的稀疏存储模式，使得三维有限元正演计算的速度大大提高而内存需求则大大减少。

First, the paper proves the well-posedness of the encryption and decryption problems, which provides theoretical bases for experiments of encryption and decryption; Then presents a fast iterative algorithm, which is proposed based on the special sparse structure of the coefficient matrix of the two-dimensional C-N difference scheme, and successfully experiments on images encryption and decryption; At the end, the security of the methods of images encryption and decryption based on the two-dimensional Pseudo -parabolic Partial Differential Equation is experimented and discussed particularly.

首先证明了基于二维连续模型的加、解密问题是适定的，为加、解密实验提供了理论依据；然后根据模型的二维C-N格式系数矩阵的特殊稀疏结构，给出快速迭代求解算法，并成功地进行了图像加、解密的数值试验；最后对基于二维伪抛物型方程的图像加、解密方法的安全性进行了详细的试验讨论。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新