共轭梯度法

In Chapter 7, the author investigates a class of conjugate gradient methods, which can be regarded as some kind of convex combination of the Fletcher-Reeves method and the method proposed by Dai et al.

第七章着重讨论一簇共轭梯度法，它可被看作是FR法和DY法的凸组合。

A boundary identification problem, i.e., inverse geometry problem of two-dimensional heat conduction was solved by using boundary element method and conjugate gradient method-based inverse algorithm.

采用基于边界元法和共轭梯度法的反演算法求解二维导热边界识别问题，即几何反问题。

A boundary identification problem of two-dimensional unsteady heat conduction was solved by using dual reciprocity boundary element method and conjugate gradient method-based inverse algorithm.

采用基于双倒易边界元法和共轭梯度法的反演算法求解二维非稳态导热边界识别问题。

Conjugate gradient method, the use of Newton's law or the use of parabolic interpolation.

共轭梯度法，使用牛顿法或者使用抛物线插值法。

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。

In the meantime, it can be seen that the conjugate gradient method or steepest descent method is a special case of the mixed method.

同时也可以看到共轭梯度法与最速下降法仅仅是混合算法的特例。

The introduction of line searches requires the solution of sub-problems must be a dropped direction, that is g T k δ k 0, In this paper, we study the existed methods of solving sub-problems, prove Zhang and Xun 1999's dogleg method and Steihaug 1983's conjugate gradient method to meet the condition of adequate decrease, then the solution can be used in line search.

引入线搜索要求子问题的解必须是下降方向，即g T k δ k 0，本文研究了现存的子问题的求解方法，证明了Zhang和Xun1999折线法、Steihaug1983共轭梯度法满足"充分下降条件"，得到的解可以安全实施线搜索。

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。

Equivalent gray absorption coefficient in non-gray system is calculated by inverse analysis, which combines the zonal method and the method of minimization of a performance function stylizing the conjugated gradient.

本文将区域法(zonamethod，亦称段法)与求目标函数最小值的共轭梯度法结合，进行非灰系统当量灰吸收系数的反演。

Conjugate gradient method, the use of Newtons law or the use of parabolic interpolation.

共轭梯度法，使用牛顿法或者使用抛物线插值法。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。