收敛因子

Chapter 9: We report a large quantity of numerical experiments of 13 different algebraic multigrid algorithms for solving the Poisson equation, anisotropic equation, equation with cross-derivative terms, general matrix problems with large off-diagonal positive entries, biharmonic equation, Toeplity matrix, elasticity systems, finite element discretization of the Laplacian and even 3D problems. Particular attention is focused on asymptotic convergence factors and CPU-time consumed. Numerical results for many different types of practical problems demonstrate the efficiency and robustness of the proposed algebraic multigrid methods.

第九章：在各种代数多重网格算法的基础上，进行了大量的数值试验，具体给出了十三种不同的代数多重网格方法求解泊松方程，各向异性方程，带混合导数项的方程，带有大的非对角正元素的一般矩阵问题，重调和方程，托普利兹矩阵，弹性力学方程组，拉普拉斯算子的有限元离散，甚至三维问题的较为丰富的数值结果，重点关注它们的渐近收敛因子和所需的CPU时间，来源于不同类型问题的计算结果既为代数多重网格理论分析和算法的改进提供了很实用的资料，同时也证实了本文给出的代数多重网格算法的效绩和稳健性。

This paper analyzes the relationships between the convergence of the Least Mean Square algorithm and convergence factor and number of taps.

本论文首先详细地分析了最小均方算法的收敛速度与收敛因子、抽头数目的关系，并用MATLAB 仿真证实了这些关系。

And convergence factor and initial feedforward weight were designed according to convergence property and convergence velocity.

并根据算法收敛性和收敛速度设计收敛因子和权初值。

The simulation result derives the suitable convergence factor and verifies the improvement of ...

最后通过仿真对比得到算法收敛因子的合理取值，验证了可变步长功率控制算法可有效提高功率控制精度和收敛速度。

The convergence condition can be used to design the time-varying, convergence factor, and ensure variable step-size adaptive digital filters to be stable.

利用该权值收敛条件，可设计确保变步长自适应数字滤波器的稳定的变收敛因子。

Because of the problem of convergence, the key techniques to complete the one step simulation were explored thoroughly. The geometry mapping method based on finite element model and inverse deformation was developed to get the approximate initial blank for one step simulation. The effective selection of convergence factor in Newton-Raphson method was studied. The divergence criterion in iterative process for one step simulation was put forward. Also the countermeasure to ill equations coefficient matrix was studied.

由于存在收敛性的问题，本文重点研究了一步模拟方法计算机实现的关键技术：提出了基于有限元模型的几何映射方法和反向变形方法来确定初始毛坯的近似解，研究了带收敛因子的Newton-Raphson方法中如何高效地选取收敛因子，提出了一步模拟迭代求解过程中的发散准则，并研究了病态方程组系数矩阵的修正方法。

By the method, we can obtain the convergence factor of each subband according to every subband statistical character driven by a standard Gaussian white noise. The hard threshold of every directional subband of each scale is determined by modifying the 3σ(or 4σ) rule in terms of corresponding effect factor.

该方法根据标准高斯白噪声作用在每个子带上的统计特性，得到每个子带的收敛因子；使用该收敛因子对标准的3σ(或4σ)准则进行修正来确定不同尺度不同方向子带的硬阈值；并在轮廓波域进行子带硬阈值处理之后，使用自适应维纳滤波进行后处理。

In view of convergence of iterative arithmetic, the arithmetic of selfadjusting the linear search directions during iteration was put forward based on practice, which guaranteed fast convergence and robustness of the system.

5对于Newton-Rapson迭代过程，根据实践，提出自动控制和调节收敛因子的算法，使系统具有较高的收敛性和计算稳定性。

The non-reference-signal's adaptive digital filter algorithm of multi-sensor data fusion in the course of adaptive filter can be done without reference signals. It can adjust convergence constant automatically, it can also be recurred with real gradient value. Thus the field to apply the adaptive filter is widened, the convergence speed of the adaptive filter is sped up, the weighted disadjustmend is decreased, so that the last error of mean square approaches its minimum value more.

这章研究的基于多传感器数据融合无参考信号的自适应数字滤波算法其在自适应滤波过程中具有不用参考信号与自动调整收敛因子及使用实际梯度值进行递推的特点，这样不仅可扩大自适应滤波的使用范围，而且还使自适应滤波的收敛速度加快有效地减小权失调，从而使最后的均方误差更接近于其最小值。

It is proved that Newton iteration method is still quadratically convergent under a weak condition, and a new point is added to Newton s method , i.

本文讨论求解非线性方程的牛顿法，证明牛顿法在一个弱条件下仍保持局部二阶收敛性，给出牛顿法的一点改进，即一个不带导数的单参数的二阶收敛的迭代法，而且分别得到这两种迭代法的收敛因子，最后进行数值实验

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。