The global convergence and linear convergence rate are proved under some mild conditions.
一些温和的条件下证明了全局收敛性和线性收敛速率。
Under some conditions, the global convergence and the super-linear convergence are proven.
在一定的假设条件下，证明了该算法的全局收敛性和超线性收敛。
In this paper an iterative solution with linear convergence rate is presented for linear system.
本文给出一种线性收敛的线性方程组迭代解法。
By means of analysing the global error bound, we prove that the method has a R-linear convergence rate.
借助于全局误差界的分析，证明了所提方法具有R -线性收敛速度。
Furthermore, by using an error bound condition, we establish linear convergence of the proposed algorithm.
在误差界假设条件下，我们得到了改进算法的线性收敛速度。
In addition, we have made a comparison between our methods and other usual ones and finally prove that these methods possess a linear convergence rate under comparatively strong conditions.
此外我们还将此类算法和一些常见算法做出比较，证明了该类算法在条件稍强的情况下具有线性收敛率。
Adaptive controllers based on simplified linear and nonlinear models are studied by simulation and the results show that the latter has better property of convergence.
通过对基于简化线性和非线性模型的自适应控制器的仿真研究，结果表明后者具有更好的收敛性。
Analysis found that the peak strain is linear with the square of peak stress, the inflection point stress, and the convergence point stress is linear with the peak stress.
经过分析发现受腐蚀后混凝土峰值应变与峰值应力的开方，拐点处和收敛点处应力与峰值应力有良好的线性相关性。
Discrete time convergence system is an important tool for investigating the asymptotic theory of linear model in discrete time.
离散时间收敛系统是研究离散时间线性模型渐近理论的重要工具。
Then a solution sequence, which consists of an accurate linear term and nonlinear compensation term, is constructed and its uniform convergence to the optimal solution of the system is proven.
其次，构造了该问题族的由精确线性项和非线性补偿项组成的解序列，并证明了解序列一致收敛到系统的最优解。
The conclusion is that, compared with the parallel-searching and the linear combination methods, the sectional optimization method is more flexible and better in convergence.
通过与并行寻优、线性组合方法的比较，得出了分级优化法具有灵活性及收敛性好等特点的结论。
Kalman filter used in linear discrete stochastic system has good convergence and the ability to remove high frequency noises.
卡尔曼滤波用于线性离散随机系统具有非常好的收敛性和滤除高频噪声的能力。
In this paper a new technique for acceler at ion of convergence of discretized waveform method is proposed for solving ordinary linear differential systems.
提出一种关于求解常微线性系统的离散波形松驰方法的新的加速收敛技巧。
In this paper, We developed a select main element iterative method. For a class linear system of divergence discussed convergence, and illustrate by examples.
本文提出了一种选主元迭代法。对一类发散的线性系统讨论了其收敛性，并举例说明之。
For solving the linear system with the iterative method, it is very important to estimate the spectral radius of the iterative matrices and give the convergence analysis.
在用迭代法求解线性方程组时，迭代矩阵的谱半径估计及其收敛性分析是非常重要的。
Chapter 3 constructs a new generalized pattern search method for linear equality constrained optimization problems and gives the proofs of the global convergence.
第3章给出了广义模式搜索算法对线性等式约束最优化问题的一个新解法，并证明了这种算法的全局收敛性。
Both the convergence speeds of CGA and GA are much slower than the classic linear methods, but their speeds after improved are acceptable, and the convergence speed of CGA is faster than that of GA.
遗传算法和混沌遗传算法的收敛速度比经典的线性优化方法慢很多，但改进后其速度还是可以接受的，且混沌遗传算法的收敛速度比同等条件下的遗传算法速度快得多。
The hyper order, the exponent of convergence and the hyper-exponent of convergence of zeros of solutions for some types of K-order linear differential equations with entire coefficients are discussed.
研究了几类K阶整系数线性微分方程解的超级、零点收敛指数和零点超收敛指数，得到一些精确的结果。
In this thesis, we investigate the hyper-order and the hyper-exponent of convergence of the distinct zeros of solutions of linear differential equations.
本文研究了线性微分方程解的超级和二级不同零点收敛指数。
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。
The difficulty in solving this system of non-linear equations is the choice of an initial value, close enough to the true solution to assure convergence.
求解时遇到的主要困难是选择一组足够靠近真解的初值，以保证迭代过程的收敛。
In this paper, we investigate the problem of the convergence of zeros of the solution of higher order linear differential equation to small order of growth function.
主要讨论了高阶齐次线性微分方程解取小函数的点的收敛指数。
Linear search is incorporated into the inversion method to improve the speed of the convergence rate of inversion.
反演方法中引入了线性搜索来加快反演的收敛速度。
This paper traverses the BP arithmetic to solve non-linear system in one variable, presents and proves the convergence theorem of the arithmetic, shows the application example.
详细研究了一种一元非线性系统的BP算法，提出并证明了该算法的收敛性定理，给出了该算法的应用实例。
Locally implicit finite element method is a satisfactory numerical method to solve non-linear partial differential equations for its unconditional stability and its high rate of convergence.
认为局部隐式有限元法是一种绝对稳定的方法，且具有快速收敛的性质，是求解非线性偏微分方程的一种有效的数值算法。
At the same time, homotopy algorithm is applied in the solution of non-linear equation of plane link curve, it enlarges the convergence range of optimization process steadily.
同时，在求解连杆曲线非线性方程组中引入同伦算法，使算法具有大范围收敛性，从而保证了优化过程的稳定收敛。
At the same time, homotopy algorithm is applied in the solution of non-linear equation of plane link curve, it enlarges the convergence range of optimization process steadily.
同时，在求解连杆曲线非线性方程组中引入同伦算法，使算法具有大范围收敛性，从而保证了优化过程的稳定收敛。
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