共轭梯度法

In this thesis, we mainly discuss the algorithm and the theory of conjugate gradient method .

本文主要研究了共轭梯度法的算法和理论，得到了一些理论和数值结果。

Generally, the PRP method is regarded as one of the most effective CG methods.

在所有的共轭梯度法中，PRP方法被认为是数值表现最好的方法之一。

Application of complex conjugate gradient method and fast Fourier transform to study multitudinous scattering in near-field optics.

利用共轭梯度法与快速傅立叶变换相结合的方法来研究近场多体散射问题。

is applied to construct the three-dimension model for finite element analysis. Short circuit and open circuit of the field winding and the teeth and slots structure of the rotor are discussed. An appropriate three-dimensional mesh is made. The corner point problem of conductor is eliminated. Furthermore, a new memory structure for sparse complex matrix and a PCCG method based on it are introduced to save memory and computation time.

在汽轮发电机失磁异步运行转子三维涡流场数值计算模型中，应用了〓法建立了三维有限元计算模型，考虑了转子绕组的开、短路状态及转子齿槽结构，形成了合适的三维剖分网格，解决了三维电磁场有限元计算中角点奇异的问题，创立了一种新的稀疏矩阵的存储格式以及基于该格式的预处理复数共轭梯度法从而减少内存开销和加快了求解速度。

The key idea is that the proposed numerical scheme involves the operator splitting technique, balance tensor diffusivity, Runge-Kutta time-stepping method, and a conjugate gradient iterative solver.

此法最主要的概念是使用一种分离的离散式、数值平衡扩散式、时间前进法及共轭梯度法来求解。

This paper improves the iterative format of the symmetric successive overrelaxation PCG method,as a result the computation is reduced by 8%～50%.This paper also presents some key subroutines for application of the SSOR PCG method to the solution of finite element equations.

本文改进了对称逐步超松驰预处理共轭梯度法的迭代格式，可节省计算量8％～50％，并给出应用SSORPCG法求解有限元方程组时的几个关键子程序。

This method takes the advantages of fast convergence of CG and not easily to trap the local extreme of SH, which make it can converge to global extreme at a high rate of speed in solving the problems of quadratic function optimization.

这种方法结合了共轭梯度法的快速收敛和随机爬山法的全局收敛的优点，在求解二次函数极值的问题上具有收敛速度快，并能收敛到全局极值的特点。

The preconditioned conjugated gradient method is a very efficient iterative method for solving large sparse linear equations.

预处理共轭梯度法是求解大型稀疏线性方程组的极为有效的迭代法。

A sufficient condition ensuring the Gauss-Newton method quadratically convergent exactly is given.

给出了保证Gauss-Newton法恰2阶收敛的条件，在此基础上构造了利用条件预优共轭梯度法求解Gauss-Newton方程的新的有效算法。

Based on experiment data, equivalent gray absorption coefficient s at various gas temperature distributions are calculated using inverse analysis,which combines the zone method and the minimization of a performance function stylizing the conjugated gradient method.

以实验数据为基础，采用区域法与求目标函数最小值的共轭梯度法相结合的方法反演计算了不同烟气温度下的当量灰吸收系数。

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％。