查询词典 componentwise convergence

Combined CD method and a new conjugate gradient method given by Liu.Y, Storey. C, the second class of nonlinear conjugate gradient method is proposed, which not only has descent property, but also is proved global convergence with the general Wolfe line search. Finally, the numerical results show this class of conjugate gradient methods is very efficient.

第二类算法是结合CD法和Liu.Y， Storey.C提出的新共轭梯度法，提出一类新的非线性共轭梯度法，新方法不但具有下降性质，而且在推广的Wolfe线搜索下是全局收敛的，最后进行了数值验证。

The characteristics of the steepest descent method's small amount of computations and conjugate direction method's fast convergence combined, a conjugate vector base method for solving ill-conditioned linear equations was proposed.

结合最速下降法计算量小和共轭方向法收敛速度快的特点，提出了一种求解病态方程组的共轭向量基的方法。

In terms of the minimum question of a positive definite quadratic function,a set of Newton directions in minimum points derived with an accurate single dimensional search are used to produce a set of conjugate direction ,and a proof of convergence is presented.

对正定二次函数极小问题，利用精确一维搜索所得极小点处的牛顿方向来生成一组共轭方向，并给出收敛性证明

If the method is applied to a convex quadratic function, conjugate directions are chosen with the goal of accelerating convergence.

直接目标是保证该方法应用于凸二次函数，选择共厄方向来加速收敛。

Regarding to this inverse problem, it is solved by the conjugate gradient method for the stable solution and quick convergence.

在反演求解时，使用共轭梯度算法，以保证求解的稳定性，加快解的收敛速度。

In this dissertation, we presented the global convergence properties of nonlinear conjugate gradient methods without line search and with strong Wolfe conditions, Goldstein inexact line search.

本文给出了无约束最优化算法—非线性共轭梯度法在不需线搜索和用强Wolfe条件下以及用Goldstein非精确线搜索产生搜索步长情况下的全局收敛性证明。

Nonlinear Conjugate Gradient Method; Line Search; Sufficient Descent Direction; Global Convergence

基础科学，数学，运筹学非线性共轭梯度法；线性搜索；充分下降方向；全局收敛性

Order Hilbert ill-conditioned linear equations were solved, and the relative error was less than 0.45%. Numerical experiments verified that the method was efficient compared with the efficient methods used commonly nowadays. Numerical experiments results showed that the conjugate vector base method was suited for solving large-scale ill-conditioned linear equations with fast convergence and high precision.

通过对5000阶的Hilbert方程组进行求解，结果的相对误差小于0.45%，并与当前普遍使用有效的方法进行了比较，数值实验结果表明，该算法适合求解大型病态线性方程组，且具有快速收敛，精度较高的特性。

The convergence of them is proved, i.e if the parameters estimation is consistent, then self-tuning fusion estimator will converge to the optimal fusion estimator with known model parameters and noise statistics, and the accuracy of self-tuning fusion estimator is higher than that of each local self-tuning estimator.

证明了它们的收敛性，即若ARMA新息模型的参数估计是一致的，则自校正信息融合Wiener估值器将收敛于当模型参数和噪声方差己知时的最优信息融合Wiener估值器，且自校正信息融合Wiener估值器的精度高于每个局部自校正Wiener估值器。

The paper considers applying generalized pattern search methods to linear equality constrained minimization and analyzes the global convergence.

本文的主要内容是对广义模式搜索算法关于线性等式约束最优化问题的全局收敛性做了一些研究。

Molecular Distillation is a kind of high vacuum distillation method, which is suitable for the separation of high boiling, heat sensitivity and viscidity products.

分子蒸馏技术是一种在高真空条件下进行的连续蒸馏过程，适合于分离高沸点、热敏性及具有生物活性的混合物。

They are to the Noughties what yuppies were to the Eighties .

那在六十年代是时髦的，但在八十年代肯定是过时了