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However, to establish global convergence for these latter methods, one must enforce either sufficient decrease conditions (the Armijo-Goldstein-Wolfe conditions)or a fraction of Cauchy decrease condition - all of which rely on explicit numerical function values, as well as explicit approximations to the directional derivative at the current iterate.

但是,为了保证后面方法的全局收敛,必须有足够的减少条件(Armijo-Goldstein-Wolfe条件)或者部分柯西减少条件——它们全都依赖于外在的数值函数值,就和在当前迭代逼近方向导数一样。

Chapter 1 outlines the research development of Dirichlet series, and presents the main results obtained in the thesis.

第二章研究了三重Dirichlet级数和n重Dirichlet级数的收敛性,同时在一定的条件下研究了三重随机Dirichlet级数的收敛性。

Under the locally uniform τ-Opial condition, using product topological net, a new convergence condition of X with locally uniform τ-Opial condition is obtained, and give the ergodic theorem and τ-convergence theorem of the almost-orbits for asympotically nonexpansive typesemigroups in Banach space X are given.

首先给出了局部一致τ-Opial条件的概念,运用乘积拓扑网技巧得到了具有局部一致τ-Opial条件下空间X的新的收敛条件。

The stability and convergence for spectral methods and spectral element methods are presented, with the aid of the knowledge of functional analysis and calculus and with the help of the theorem of Lax-Milagram, the stability and convergence for steady problems, evolution equations and Navier-Stokes Equations are analyzed in detail.

利用泛函分析和微积分的基本知识,运用Lax-Milagram定理等,从理论上比较详细地分析了谱方法和谱元方法在定常问题、非定常问题以及求解Navier-Stokes方程方面的稳定性和收敛性问题,得出了Navier-Stokes方程谱近似的稳定性条件和收敛性准则。

In this paper,we study convergence theories of this inexact Newton method .

分析了求解对称特征值问题的不精确Newton法,给出了相应的收敛性定理,并证明了在适当的条件下,不精确Newton法超线性收敛。

We discussed the convergence of MAP path, i.e. in the condition of global optimization, we researched into the convergence of hidden state sequence when observational state sequence is infinite.

讨论了MAP路径估计的收敛性,即在全局最优的条件下考察了当观测序列趋于无限时隐状态序列的收敛性问题。

Furthermore, the global convergence and superlinear convergence rate are proved under mild assumptions without the strict complementarity.

此外,在不需要严格互补的温和条件下,我们证明了算法的全局收敛性和超线性收敛性。

In this paper,the problem of the rate of uniform convergence in the normal approximations of the Von Mises Statistics will be considered.

本文讨论了Von Mises统计量向正态逼近的一致收敛速度问题,在核函数仅满足二阶矩条件下,给出了上述收敛速度的上、下界,所得结果改进了 [2 ]中相应结论

And trust region type algorithm with memoryless technology not only satisfies new factorized quasi-Newton equation, but also saves much storage and algebraic operations than the original factorized quasi-Newton methods.we prove it posses the global convergence and the local superlinear convergence under some condition.

本文中利用无记忆技术产生的无记忆型信赖域算法不仅满足新分解牛顿方程,具有其所有的良好性质,而且比一般的分裂拟牛顿法节省存储空间,减少计算量。本文证明了在一定假设条件下该算法具有全局收敛性及局部超线性收敛性。

Under certain conditions, the global and superlinear convergences of the algorithm are proved.

在一定条件下,给出了算法的全局收敛性以及具有超线性收敛速度的证明。

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Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势,并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。

This dramatic range, steeper than the Himalayas, is the upturned rim of the eastern edge of Tibet, a plateau that has risen to 5 km in response to the slow but un stoppable collision of India with Asia that began about 55 million years ago and which continues unabated today.

这一引人注目的地域范围,比喜马拉雅山更加陡峭,是处于西藏东部边缘的朝上翻的边框地带。响应启始于约5500万年前的、缓慢的但却不可阻挡的印度与亚洲地壳板块碰撞,高原已上升至五千米,这种碰撞持续至今,毫无衰退。