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Credit matrix and credit correlation matrix were presented. Based on the iteration theories of linear equations, the convergence property of CA-CMAC in incremental learning was analyzed.

然后提出了信任度矩阵和信任度关联矩阵的概念,并根据线性方程组迭代理论,证明了改进算法在增量学习时的收敛性,给出了收敛条件并进行了验证。

In Chapter 4, using the formula A_k(2) given by Wei, we propose a new A_k(2)-SQP method, which develepments the using of the quasi-Newton formula BFGS, and combines with SQP method to solve constrained optimization problems, the corresponding algorithm possesses global convergence and supei linear convergence property.

第四章,利用韦提出的A_κ(2)公式,我们给出了一种A_κ(2)-SQP方法,该方法把拟牛顿修正公式BFGS进行了推广,并结合SQP方法去解约束优化问题,相应的算法具有全局收敛性和超线性收敛性。

This is 1 the firstsharp uniform convergence result for linear transport equations in di?usive regime, aproblem that involves both transport and di?usive scales; and 2 the first uniform con-vergence valid up to the boundary even if the boundary layers exist.

这是对线性输运方程已知的第一个在扩散域中和输运扩散同时存在时具有高阶一致收敛性的算法,同时也是第一个一致收敛性在边界层也成立的算法。

The classic iterative ones need special characters of the coefficient matrix; CG has over linear convergence, but the coefficient matrix is positive definite; Krylov subspace ones can deal with non-symmetric linear systems, but sometimes it must face"collapse"problems.

经典迭代法的收敛需要由系数矩阵的一些特定性质来保证;共轭梯度法具有超线性收敛性,但是系数矩阵必须是正定矩阵;Krvlov子空间法可用于非对称矩阵问题,但可能出现崩溃现象。

In chapter 3 constructs firstlya new differential merit function by a perturbation structure of VIP and study theproperties of this merit function.Based on this merit function,a continuation-typeNewton method is proposed,which use the technique of inexact linear search forassuring its global convergence,and improves essentially the method of Taji,Fukushima and Ibaraki which can only solve the strong monotone VIP,and has locallyquadratic convergent rate under some condition.

第三章利用变分不等式问题的一种扰动结构构造了新的可微效用函数,并研究了效用函数的性质;在此基础上,给出了一类求解一般单调变分不等式问题的连续型Newton方法CN,方法采用了不精确的线性搜索技术以确保整体收敛性,从本质上改进了Taji、Fukushima和Ibaraki方法只能求解强单调变分不等式问题的局限性,同时又保持了局部二次收敛率。

On the base of the good convergence of FR, and in view of the descend property of the paper presents a new conjugate gradient method, and studies the global convergence with two kinds of Armijo-type linear search.

基于FR方法好的收敛性并考虑到d的下降性,提出了一类新的共轭梯度法,并在两种Armijo型搜索下,研究了新方法的全局收敛性。

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。

We prove general convergence and local convergence of this algorithm.

第四章证明了对偶算法的全局收敛性和局部收敛速率。

The global convergence and local superlinear rate are obtained under certain conditions.

在一般信赖域方法的假摘要设条件下,我们证明了该方法的全局收敛性及局部收敛速度。

Under some suitable conditions, we prove the global and local super-linear convergence of our algorithms.

在一定条件下,证明了该类算法具有全局收敛性和局部超线性收敛性。

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