查询词典 iterative method for eigenvalue problems

Fist, comprehensive analysis on the current study on data processing is made, and characters of Newton methods about nonlinear surveying and mapping data processing are discussed, and then new solutions to parameters estimate with multi-sources, multi-types, multi-dimension, multi-precision bynonlinear least square are presented such as PSB algorithm, digital continuation and generalized digital continuation algorithm, cone model method, tensor analysis method, GCMA(mixed algorithm of gradient method and conjugate gradient method), combining algorithm based on Newton method and gradient method and confidence region and so on, and a new fast difference iterative algorithm is proposed towards parameters estimation containing random parameters in nonlinear models, and a new solutions to nonlinear least squares surveying and mapping adjustment by parameters estimation both considering the random and nonrandom parameters is presented after studying on nonlinear data processing in deformation monitoring, and at last primary analysis on error propagation of spatial data is made and approximate error propagation formula and error analysis formula to length and area are proposed.

首先比较全面分析了目前测量数据处理理论的研究现状，讨论了牛顿类方法在处理非线性模型参数估计方面的特点，研究并给出了求解多源、多类型、多维、多精度、非线性最小二乘测量平差参数估计的若干种新方法，这包括PSB算法、数值延拓及其广义数值延拓算法、锥模型法、张量分析法、基于最速下降法和牛顿法的组合算法、基于最速下降

In this paper,the asymptotic property for two kinds of ecological systems and oscillation for solutions of a neutral differential equations is studied by employing differential inequalities and using eigenvalue analysis,iterative algorithm,induction and comparison theorem etc.Here, the system\'s asymptotic property includes the uniform persistence,the global attractability of the solutions,the asmptotic stability of the solutions and the oscillation of solutions.

本文利用微分不等式、特征根分析法、迭代法、归纳法及比较原理等方法和理论，研究了两类生态模型解的渐近性和一类脉冲中立型微分方程解的振动性，其中包括模型的一致持久生存性，正平衡态的全局吸引性、局部与全局渐近稳定性以及解的振动性。

An iterative algorithm for quadratic eigenvalue problem of non-symmetric matrix is put forward. The results show the convergence and effectiveness of the algorithm.

提出了一个二次非对称矩阵特征值问题的迭代算法，算例表明了算法的收敛性和有效性。

As we know, many results on analytic solutions of iterative equations are obtained by constructing a majorant series. For technical reasons, in previous works an indeterminate constant α, as the eigenvalue of the linearization of unknown function at its fixed point, is required to be off the unit circle or lie on the circle with the Diophantine condition.

已有的许多关于迭代方程的解析解结果都是运用优级数法得到的，并要求一个作为未知函数在其不动点处的线性部分的特征值的常数α不在单位圆周上或者α在单位圆周上但满足Diophantine条件。

As we know, many results on analytic solutions of iterative equations are obtained by constructing a majorant series. For technical reasons, in previous works an indeterminate constant a, as the eigenvalue of the linearization of unknown function at its fixed point, is required to be off the unit circle or lie on the circle with the Diophantine condition.

已有的许多关于迭代方程的解析解结果都是运用优级数法得到的，并要求一个作为未知函数在其不动点处的线性部分的特征值的常数α不在单位圆周上或者α在单位圆周上但满足Diophantine条件。

This paper investigates the smallest singular value of matrices, the spectral radius of the iterative matrix, the minimal eigenvalue of irreducible M-matrices and some spectral properties of tensor product of matrices.

本文主要研究了矩阵最小奇异值，迭代矩阵的谱半径，不可约M矩阵的最小特征值以及矩阵张量积的一些谱性质。

The Radar Cross Section of an S-shaped circular wave guide and that coated with absorber layer on the inner wall are computed by the fast Iterative Physical Optics method using algorithms of initial value succession and Forward-Backward Iterative.

在此基础上采用初值继承算法和前后向迭代结合的快速IPO方法计算了采用S弯和在腔体内壁涂敷吸波材料对腔体雷达截面的减缩效果。

Besides, as to inpainting problem in wavelet domain, we introduce a new iterative model. In this model low frequency and high frequency will carry on processing separately, enormous speed up the image repair convergence rate, and even if as high as 90% wavelet coefficient have been lost, this model will also be able to have the very good repair effect. In the old model, to compute the curvature we have to transform the coefficients to the pixel domain, and then transform back to the coefficient domain for several times and this method can solve this problem and speed up the iterative convergence.

其次针对小波域中图像修复的问题，本文提出了一种新的小波域图像修复模型，该模型根据小波变换后系数相关性的特点，将低频和高频分别进行处理，极大的加快了图像修复的收敛速度，并且即使丢失高达90%的小波系数，该模型也会有很好的修复效果，有效的解决了传统的TV- Wavelet模型在计算图像的平均曲率WCURV时，需要反复进行小波分解与重构的计算，迭代速度慢的问题。

It can be found that the IPCA, as a non-iterative method, can obtain one principal component by only one calculating process. Therefore the IPCA is not only fast in calculation, but can avoid the cumulative error suffered by iterative methods.

使用模拟和实验HPLC-DAD数据对IPCA进行了验证，结果表明IPCA是一种非迭代方法，只需要完成一次计算过程即可得到一个主成分，因此IPCA不仅能够显著提高运算速度，而且可以避免迭代法中的误差积累问题。

The apparatus and method further comprise c separately storing the synchronization data serving as the iterative information and combining the separately-stored results when the synchronization data is determined to be iterative information, or divisionally storing the synchronization data, combining the divisionally-stored results, and transmitting the combined result when the synchronization data is determined to be divisionally-designated data; and d terminating a backup operation of the mobile terminal when the backup server generates a response signal after the data is transmitted to the backup server.

该装置和方法进一步包括c当确定同步数据是重复信息时，单独存储用作重复信息的同步数据以及合并所单独存储的结果，或者当确定同步数据确定为分开指定的数据时，分开存储同步数据，合并所分开存储的结果，以及传送所合并的结果；以及d在将数据传送到备份服务器后，当备份服务器生成应答信号时，中止移动终端的备份操作。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。