A convergence proof is given for the continuous analog of the Newton method for linear semi-positive definite operator equations and convergence rates are obtained.
对半正定线性算子方程考虑了一类连续正则化牛顿方法，给出了收敛证明，得到了收敛率。
Based on internal algorithm, a generalized variable metric projection internal algorithm for nonlinear programming with linear constraints and the convergence proof are given.
基于内点算法的思想，利用广义投影技术构造了一求解线性约束的非线性规划问题的变尺度方向内点算法，并给出了其收敛性证明。
This act would be my pièce de résistance, the existential proof that love was the answer, the convergence of art, romance and technology that would make everything beautiful.
这个行动是我对现实的抵抗，是爱情力量的现实证据，是艺术的集中体现，浪漫和科技可以让所有事情变得美妙。
So far many approximate methods have been used to solve the large deflection problems except that only a few exact solutions have been investigated but no strict proof on convergence is presented yet.
迄今为止，除了少数未从数学上严格证明其收敛性的精确解外，大多数均采用近似方法求解。
In many current textbook, the monotone bounded theorem is used to the proof the convergence of a kind of but this method is uneasy to series, understand.
应用单调有界定理证明一类数列的收敛过程中，一般高等数学和数学分析教材中，处理的思路方法不易想到或过程较为繁琐。
This paper points out their wrong and give a new theorem for the convergence and its proof.
本文指出其错误，并给出一个新的收敛性定理及其证明。
Our proof of the convergence is based on an asymptotic diffusion expansion and requires error estimates on a matched boundary layer approximation to the solution of the discrete-ordinate method.
其收敛性的证明是依据其渐近扩散展开式，在边界层上得到的误差估计逼近其离散纵标方法的解。
Using the comparison method, an approximate approach to the delay-differential equations is proposed in this paper. The proof of its convergence and calculation stability is also given.
本文应用比较方法，提出滞后型泛函微分方程初始问题的近似解法，给出了解的近似迭代序列及其误差估计式，并证明迭代序列的收敛性和计算稳定性。
Also the proof of global convergence of the algorithm is presented, which is of value for discussions of convergence of more general algorithms.
还证明了该算法的总体收敛性，其证明方法对一般迭代算法的收敛性讨论具有参考价值。
In this paper, an abstract algorithm is presented, and a proof of a convergence theorem is given.
本文提出了一个抽象算法，并证明了收敛性定理。
By use of multigrid method, this paper proposes a preconditioned iteration method solving the boundary value problem of elliptic equations, the proof of convergence is given.
利用多重网格法的思想，构造出一种求解椭圆型方程边值问题的预处理迭代格式，并给出了收敛性证明。
The proof of convergence of the algorithm is given.
算法的收敛性证明。
Proof reading speed, eye accommodation and convergence time, and subjective visual comfort were employed as indexes.
以核读速度、眼肌调节辐合时间和主观舒适性为测评指标。
In the present note we propose to deduce this result directly from the dominated convergence theorem of stochastic integrals, so our proof is much simpler than the original one.
本文用随机积分的控制收效定理直接推出了这一结果，从而大大简化了原证明。
A detailed account of the algorithm process is given and a proof has been presented for the convergence.
给出了该算法的详细描述过程并证明了算法的收敛性。
The explicit expressions for the parameter adjustments are derived, and strict proof of convergence for method is given.
并在指标服从威布尔分布的情形下定义了调整参数，给出了参数设计的方法和步骤。
The explicit expressions for the parameter adjustments are derived, and strict proof of convergence for method is given.
并在指标服从威布尔分布的情形下定义了调整参数，给出了参数设计的方法和步骤。
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