梯度法

When used in signal expansion, this model can give a relative constant error of approximation in a larger frequency band.

实现了采用此模型的匹配算法，并且通过实验对比了梯度法、相位法和新算法的性能

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。

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。

Through adding new state variable and using supplement functions,the problem with restriction conditions was converted into nonrestriction problem.

通过增加新的状态变量和用补偿函数法，将本课题的有约束条件问题化为无约束条件问题，并提出了最优步长参数的动态搜索法来修改传统的梯度法，从而较完善地解决了多变量最优周期控制的计算问题。

Through adding new state variable and using supplement functions,the problem with restriction conditions was converted into nonrestriction problem.In addition,the dynamic searching method of optimal step coefficient was developed to modify the conventional gradient method,consequently the calculation problem of the multivariable optimal periodic control was able to be resolved better.

通过增加新的状态变量和用补偿函数法，将本课题的有约束条件问题化为无约束条件问题，并提出了最优步长参数的动态搜索法来修改传统的梯度法，从而较完善地解决了多变量最优周期控制的计算问题。

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。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。