查询词典 order of convergence

By a-priori choice of the regularization parameter respectively, the optimum asymptotic convergence order of the regularized solution is obtained.

给出了正则参数的先验选取，并通过正则参数的先验选取证明了正则解的误差具有渐进最优阶。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

This paper gives a way to work out the domain of convergence of high-order Runge-Kutta and its nested methods.

提出了一种研究高阶Runge-Kutta法及其嵌套方法(以Runge-Kutta-Merson法为例)的稳定域。

By improving the Holder condition which the divided differences of order one satisfy,we obtain radius of convergence ball the uniqueness ball.All the theoretical conclusions are tested and verified by a numerical example.

通过改进一阶差商所满足的Holder连续条件，得到了两点弦截法的收敛球半径和方程具惟一解的球半径，并用数值例子验证了理论结果。

The Pade approximation is combined with 3-D frequency-domain finite difference (3D-FDFD) for the first time. The impact of expansion point and the order of rational function on the accuracy and the convergence radius is discussed in this dissertation.

主要包括以下内容：首次将Pade逼近运用到三维频域有限差分法中，详细讨论了Pade逼近中展开点选取、收敛半径与有理阶数的关系问题。

Because of the complexity of the terms in the expansions, many turned to the research of the second-order (also called one-term) Edgeworth expansions, and the rate of convergence of the distributions of the standard...

最近，在更弱的矩的条件下，关于单样本学生化U统计量的Edgeworth展开的收敛速度问题有了更进一步的结果。

In this thesis,we investigated the order of growth and the exponent of convergence of the solution of linear differential equations.

本文研究了线性微分方程解的增长级与收敛指数。

In this paper, we study the finite iterated order of growth and the iterated convergence exponent of the zero sequence of nonzero meromorphic solutions of second order homogeneous linear differential equation , and obtain some precision evaluation.

摘要研究了二阶齐次线性微分方程非零亚纯解的迭代级与零点迭代收敛指数，得到了它们的精确估计。

In chapter 3,we investigated the relationship between exponent of convergence to zero - sequence of the solution of certain homogeneous linear differential equation f + Af = 0 and the order of growth of A.

第四部分研究了一类二阶线性微分方程f+Q_1e~(p_1+Q_2e~(p_2)+Q/df=0中p_1，p_2首项系数的比值对方程解的零点收敛指数的影响，并推广到更广泛一类方程。

There exists convergence speed is slow problem in neural networks. In order to solve the problem of convergence speed, Genetic Algorithm is used to optimize BP nerve network.

3由于神经网络存在收敛速度慢的问题，利用遗传算法对神经网络进行优化以解决神经网络收敛速度慢的问题，仿真结果表明了方法的有效性。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。