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It is generally difficult to get analytical solutions of the stochastic differential equation's water quality model. What is more, as to the issue like the initial boundary result of a convection-dispersion equation, it is even more difficult to change the random factors into the uncertainty.

NSFEM法是把Neumann展开式引入以解决矩阵求逆的效率问题,如果对每一次随机抽样,只需形成刚度矩阵,进行前代、回代以及矩阵乘和矩阵加减,而无需矩阵分解,则可大大减少工作量。

The procedure for solving the Eqs is called back substitution.

解方程组的这一步骤叫回代

Firstly, based on natural gradient and nonlinear principal component analysis, a matrix equation is obtained by block recursive updating,and then the matrix equation is solved using QR factorization and back substitution to obtain the optimal separating matrix.

此外,结合自然梯度和非线性主分量分析提出了一种块递归的盲源分离方法,构造出按块递归更新的矩阵方程,然后用QR分解和回代法求解该矩阵方程得到最优分离矩阵。

Firstly, based on natural gradient and nonlinear principle component analysis, a matrix equation is obtained by block recursive updating, and then the matrix equation is solved by using QR factorization and back substitution to obtain the optimal separating matrix.

首先基于自然梯度和非线性主分量分析,构造出按块递归更新的矩阵方程,然后用QR分解和回代法逐块求解该矩阵方程得到最优分离矩阵。

The Schur subspace iteration method is applied for the dynamic characteristic analysis of damped structure vibration system and coupled fluid-structure system. This method avoids complex computation and has good numerical stability. A accelerated technique and a pre-process method for the system matrix are suggested to improve the computational efficiency. The generalized uncoupled equation is obtained from the Schur matrix and a back substitution scheme of response computaton is developed.

第三部分将非对称特征值问题的Schur子空间迭代法应用于非经典阻尼结构振动系统和流固耦合系统的特征值分析,建立了相应的具体算法,并给出了用以提高迭代收敛速度的迭代加速和矩阵预处理等实用技术;利用Schur矩阵的结构特点,推导了系统方程的动力解耦形式,给出了响应计算的回代求解格式。

Based on performing QR decomposition of an affine scaling equality constraint matrix, the conducted subproblem in the algorithm is the general trust region subprob-lem defined by minimizing a quadratic function subject only to an ellipsoidal constraint.

基于矩阵QR分解的技巧,将仿射零空间的信赖域子问题变换成通常的信赖域子问题,然后结合线搜索技术,在每次迭代信赖域子问题都将产生新的回代内点。

Based on the return2calculating sequential conditional least-squares technique and the upper-triangular Cholesky decomposition algorithm, a new approach to resolve GPS carrier phase integer ambiguity solution , which is referred as Return-Calculating LAMBDA approach , has proposed in this paper.

基于回代解算的序贯条件最小二乘技术和上三角的Cholesky分解算法,提出求解载波相位模糊度的一种新算法——回代解算的LAMBDA方法。

Based on data collected from health check-up of a group of submariners,the authors established a discriminatory model of submariner's health level by the application of Bayes progressive discrimination method.

根据一组潜艇艇员体格检查资料中的14项指标,应用Bayes逐步判别分析法,选择其中6项指标建立了潜艇艇员健康等级的判别模型,用所建立的判别模型对原数据进行回代考核,总回代符合率为74.1%。

This paper discusses the latent parallel characteristic of the forward and backward substitution method in tidal current computation.

本文针对前推回代法的潮流计算的潜在并行特点,对前推回代的在数据结构表达方式进行研究,比较了各种数据结构形式并行性计算速度的影响,并进行了仿真计算。

The resubstitution accuracy and the cross-validation accuracy were 87.88 percent and 78.79 percent for the data from Tianshui.

四川马尔康回代准确率为100%,交叉验证准确率81.82%;甘肃天水回代准确率为87.88%,交叉验证准确率为78.79%。

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