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From the matrix theory and the general principle of the iterative convergence of the linear coupled equations, this dissertation firstly proved the sufficient necessary convergent conditions for CMAC batch learning as well as the necessary convergent conditions for CMAC incremental learning, in which no additive conditions were needed. The past researchers'conclusions under the special condition of the positive articulation matrix are generalized and improved.

从矩阵理论和线性方程组迭代收敛的一般性原理出发,首次在不附加特殊条件的情况下,证明了CMAC学习算法在批量和增量两种学习方式下收敛的一般性定理,给出CMAC算法在批量学习方式下收敛的充要条件,以及在增量学习方式下收敛的必要条件,对前人在关联矩阵正定的特殊条件下得出的结论进行了推广和改进。

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。

Moreover, existence, uniqueness and continuous dependence of decreasing solutions and non-monotonic solutions for a linear iterative functional equation are discussed.

第三章研究了线性型迭代方程的拟凸解、拟凹解、凸解及凹解的存在性。

It was pointed out that even if for m ≥ 3, the existence of C~m solutions of the linear iterative functional equation F -= 0 is a difficult and very interesting problem.

有关文献指出,当m≥3时,即使是线性型的迭代函数方程F-∑_(k=1)~nλ_kf~k=0的C~m解的存在性也是一个困难而很有意思的问题。

The Gauss-Seidel iteration and modified successive over-relaxation iterative method are used to solve linear equation group.

同时,对主动式多用户动态检测方法的软件无线电实现进行了初步考虑。

Use c language to make a Jacobi iterative arithmetic which could solve the linear equation group, but it s may be more ...

求解线性方程组的迭代,是一种简单的迭代法,可不如 Gauss-Seidel迭代法收敛速度快。

In this paper, an iterative approach to potential field continuation from curved surface to plane is proposed. The continuation of potential field data from a curved surface to a plane can be viewed as an inverse problem of upward continuation of plane potential field data, getting a linear integral equation. Through viewing the potential field data on the curved surface as the data on the average elevation plane of the curved surface, then using the wavenumber domain generalized inverse algorithm to downward continue the data from the average elevation plane to a given plane, and a topography correction based on the change of curved surface relative to its average elevation is implemented to the downward continued data on the given plane, finally the downward continued data plane is upward continued to the curved surface.

本文提出一种位场数据曲化平的迭代方法,即通过把位场数据曲化平视为平面位场数据向上延拓的反问题,得到曲化平的线性积分方程,再把曲面上位场数据视为曲面平均高程面上的位场数据,利用向下延拓的波数域广义逆算法把平均高程面上的位场数据向下延拓到设定平面上,再根据曲面和其平均高程面的相对起伏对设定平面上的向下延拓数据进行起伏校正,最后再把所得平面上的位场数据向上延拓得到曲面上的位场数据,并进行迭代。

In view of convergence of iterative arithmetic, the arithmetic of selfadjusting the linear search directions during iteration was put forward based on practice, which guaranteed fast convergence and robustness of the system.

5对于Newton-Rapson迭代过程,根据实践,提出自动控制和调节收敛因子的算法,使系统具有较高的收敛性和计算稳定性。

An iterative factorization method based on linear subspace for projective reconstruction is presented in the paper. It relies on the facts that the rows in the matrix including all the image points span the same linear subspace as the rows in the matrix including space points and the fact that any basis of the subspace can be regarded as projective reconstruction. The projective reconstruction and the depth factors are obtained based on linear iteration.

摘要该文提出了一种基于子空间线性迭代的射影重建方法,该方法利用所有的图像序列构成的行向量生成的线性子空间之和与射影重建结构点构成的行向量生成的子空间是同一线性子空间及在该子空间中任何一个基底都可以作为射影重建的特性,线性迭代地求取射影重建及图像深度因子。

In this paper,the new Theorems are presented to prove some sufficient and necessary condition of Ishikawa iterative sequence with error member for Lipschitz hemi-contraction mapping in Hilbert space converging to the fixed point.

本文给出了Hilbert空间上的Lipschitz半压缩映像的具有误差项的Ishikawa迭代序列收敛于不动点的充分必要条件。

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This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

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