收敛

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 ABS algorithms are utilized in modifying the Zangwill conjugate direction method for nqnconstrained optimization problems.

将ABS方法与Zangwill方法相结合。构造出一种有限步收敛的求解具有线性约束的二次规划问题的共轭方向法－LAZ法

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。

Optimization of the use of punitive factor function in the epitaxial sustaining a conjugate gradient method...

最优化中利用惩罚因子的罚函数法的外延，连带了共轭梯度法，由于罚因子的迅速跌代增大，加速了目标函数的收敛速度。

A hybrid ANN-Lagrangian relaxation approach for generating unit commitment , and for the disadvantages of BP algorithm, a new conjugate gradient algorithm without line searches is used to speed up convergemce.

混合ANN和Lagrange松弛法用于解机组最优投入问题，并针对BP算法不足，利用一种不用精确搜索的共扼梯度训练算法，加速了网络的收敛。

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

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。