They appear in many scientific and engineering applications. For structured matrix eigenvalue problems, the key problem of computational mathematics is to develop structure-preserving algorithms. Structured backward error analysis may be done to test the strong stability of a numerical algorithm. 对于结构特征值问题,计算数学的主要问题是发展保结构算法(Structure-preservingalgorithm),而结构向后误差可以用来检验数值算法的强稳定性。
An improved Backward Error Propagation Algorithm used as neural network controllers to control a nonlinear system is presented in this paper. 对非线性系统神经网络控制器提出了一种改进的误差反向传播算法。
Minback: A Minimum Backward Error Algorithm For Symmetric Linear Systems MINBACK:解对称线性方程组的极小化向后误差方法
Backward error correction, forward error correction and hybrid error correction are typical errors in control technology. 典型的差错控制技术包括后向差错控制(BEC)、前向差错控制(FEC)和混合差错控制(HEC)。
Disturbed structured matrix is still restricted to the subclass that it originally belongs to, therefore, more exactly speaking, we should study structured backward error while studying structure-preserving algorithm. 因为扰动后的矩阵仍被限制在该类结构子类里。更确切地说,研究结构算法的同时应研究结构向后误差。
It is shown that using backward selection algorithm select centers can minimize the net work output error in great extent, make network structure more simple and more generalization and approximation. 用后向选择法选择中心能最大程度地减小网络的输出误差,使网络结构简化,并且具有更强的泛化能力和逼近能力。
In this paper the authors construct a class of parallel predict correct algorithm for solving delay differential equations with Newton backward interpolation as predictor and Runge Kutta methods as corrector and the local error estimation of the algorithm is also given. 利用牛顿向后插值公式作预估式且利用单步龙格库塔方法作校正式,构造了一类用于求解延迟动力系统(DDEs)的并行预校龙格库塔算法,并给出了方法的局部误差分析。
Backward Error Analysis for Structured Unitary Matrix Eigenvalue Problems 结构酉阵特征值问题向后扰动分析
In this paper, we use the Fourier regularization method to stabilize a backward heat conduction problem. The advantage of the Fourier regularization method lies in its simplicity and effectiveness. A Holder stability error estimate for the problem is obtained. 反向热传导问题是一类严重不适定问题.可以用Fourier正则化方法去稳定近似一个反向热传导问题.Fourier正则化的优点是简单而有效.一个Holder型稳定性误差估计被得到。
An improved Backward Error Propagation Algorithm is used to build neural network model of tyre sideforce. The relations between the model precision and the network structure as well as the training method are researched. 用改进的误差反向传播(BP)算法建立了轮胎侧向力的数学模型,研究了模型精度与网络结构、训练方法之间的关系。
Finite Wordlength Effects in Adaptive SLC by Backward Error Analysis 自适应旁瓣对消有限字长效应的后向分析
Backward Error Analysis for Maximum Snr Adaptive Array 最大信噪比自适应阵处理的后向误差分析
In addition, the backward error for eigenvalue and eigenvector are analyzed respectively. 此外还单独考虑了对特征值和对特征向量的结构向后误差和向后误差。
Backward error analysis of a class of the periodic symplectic matrices for eigenproblem 一类周期辛矩阵对特征值问题的向后误差分析
This paper still studies the mains of the forward error analysis and backward error analysis. 还研究了向前误差分析和向后误差分析的要点。
The dispersion equation of the traveling wave mode and backward wave mode are put forward for the engineering application. The coupling coefficient of the dispersion equation is simplified, whose error is about 1%. 提出了适合工程实用的行波模式和返波模式的色散方程,并对方程中的耦合系数进行了简化,误差在1%左右。
In order to solve the visualization problem of fluid chaotic mixing, in the paper a backward Poincare cell mapping ( BPCM) method has been developed to control the evolution of error and the interpolation cell mapping method is used for the simulation efficiency. 为解决流体混沌混合的可视化问题,本文提出采用逆向庞加莱胞映射方法,来控制混沌系统数值模拟过程中的初始误差敏感,用插值胞映射的方法,来提高模拟效率。
In the environment where the backward channel is available, the proposed algorithm is capable of utilizing the real macroblock error information from the decoder's feedback, tracking the error propagation, estimating the error more precisely, resulting in higher resilience performance. 在存在反向信道的环境中,该算法可以利用解码器反馈的实际宏块错误信息,跟踪差错扩散,对其进行更准确的估计,以提高容错性能。
Structured Backward Error for Tridiagonal Systems 三对角系统的最佳向后扰动分析
Compared to BP algorithm, it can be applied without the need of backward propagating the error throughout a feedback network. This important property makes it possible to design the simple neural network controller directly. 与常用的BP算法相比,它不需要反馈网络反向传播误差,可以直接用来设计自适应神经网络控制器,使控制器的设计简单化。
A Neural Network Model with Improved Backward Error Propagation Algorithm for Tyres Sideforce 改进BP算法的轮胎侧向力神经网络模型
The reasons of hand leaving in horizontal bar giant swing backward such as technical error and muscle tension etc. 单杠向后大回环脱手的原因主要是倒立后摆阶段抬头、挺胸、塌腰和悬垂前摆时翻腕等技术错误,以及思想和肌肉过度紧张等。
But limited by personal factors, there are some defects such as the backward thinking, error methods, which brought some destructiveness to society in the Northeast. 但是受自身因素局限,在斗争中有思想观念落后、手段方式错误的缺陷,给社会带来一定的破坏性。
Through the comparisons with the backward sweep method, symplectic guidance algorithm has the strong robustness on random control parameters, and it has the small trajectory error. 另外,与向后扫描方法比较,实时制导保辛算法对控制参数不确定性具有更强的鲁棒性,且实时制导保辛算法的轨迹偏离峰值较小。
The upper bound of the backward error is obtained by Brouwer fixed-point theorem and the lower bound of the backward error is obtained through singular-value decomposition. 因此利用不动点定理及奇异值分解对结构向后误差的上下界进行了估计。
For the LSS and the LSE problems, the author derives linearization estimates of the backward errors and numerically compare them with existing backward error bounds. 对于球上最小二乘问题和等式约束最小二乘问题,本文给出了向后误差的线性化估计,并且与前人给出的向后误差界做了数值比较。
The backward error is a basic concept in numerical algebra and the back-ward error analysis is useful in many respects. For example, it is applied to examine the stability of new algorithms. 向后误差是数值代数中的一个基本概念。向后误差分析的结果有多方面的应用,如:检测新算法的向后稳定性。
In Chapter 3, we discuss the structured backward error and condition numbers of saddle point problem. The explicit general expression of structured backward error is obtained, and the structured condition number is applied to analyze the sensitivity of the solution. 第三章讨论鞍点问题的结构化向后误差和条件数,给出了鞍点问题结构化向后误差的一般表达式,并用结构化条件数分析了解的敏感性。
At present, the method of detecting Petroleum-series Contaminants in our country is backward. Between our country and the developed country has the gap. The operating process of the traditional examination method is tedious, easy to cause the error, and cannot in-site detect. 目前,我国对于水中油含量的检测手段落后,与国际先进水平存在差距,传统的检测方法操作过程繁琐,容易引入误差,且不能现场作业。
The backward prediction and the state update procedure improve the estimation accuracy of the last state estimate and reduce the current state prediction error. 通过反向预测与更新提高了上一时刻状态估计的精度,减小了当前时刻的状态预测误差。