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不完全正交的变参数H-IGMRES(m)算法 被引量:1
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作者 于春肖 杨艳芳 井丁卉 《郑州大学学报(理学版)》 CAS 北大核心 2020年第1期93-98,共6页
为了提高大型线性方程组的求解速率,在变参数H-GMRES(m)算法的基础上,利用不完全正交的Householder变换,提出了截断型的H-IGMRES(m)算法。对算法的收敛性进行了分析,用数值算例验证了算法的可行性,同时对算法的计算精度和效率进行了比... 为了提高大型线性方程组的求解速率,在变参数H-GMRES(m)算法的基础上,利用不完全正交的Householder变换,提出了截断型的H-IGMRES(m)算法。对算法的收敛性进行了分析,用数值算例验证了算法的可行性,同时对算法的计算精度和效率进行了比较。理论分析和研究结果表明,所提出的截断型算法在保证计算精度的前提下,大大减少了迭代次数,显著提高了计算效率。 展开更多
关键词 H-GmRES(m)算法 不完全正交 截断型 h-igmres(m)算法
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基于向量加权平均优化的盲源分离LTE-M同频干扰检测
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作者 王乃鑫 赵恒凯 +1 位作者 何庆军 郑国莘 《工业控制计算机》 2025年第2期45-47,共3页
轨道交通LTE-M(Long Term Evolution-Metro,基于轨道交通的长期演进)同频干扰检测关乎列控信号传输的可靠性,提出一种基于INFO(weIghted meaNoFvectOrs,基于向量加权平均)算法的盲源分离方法,即INFO-BSS。该方法以混合信号的最大化负熵... 轨道交通LTE-M(Long Term Evolution-Metro,基于轨道交通的长期演进)同频干扰检测关乎列控信号传输的可靠性,提出一种基于INFO(weIghted meaNoFvectOrs,基于向量加权平均)算法的盲源分离方法,即INFO-BSS。该方法以混合信号的最大化负熵为目标函数,用INFO优化算法替代牛顿迭代法,解决了牛顿迭代法初始参数易设置不当以及容易陷入局部最优的问题。仿真结果对比表明,在不同分辨率带宽、不同信干比等条件下,INFO-BSS的检测性能都要优于常规算法。 展开更多
关键词 同频干扰 LTE-m 盲源分离 向量加权平均优化算法
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基于改进VMD和L-M神经网络的局部放电信号去噪
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作者 袁莎莎 李梦莹 +3 位作者 戴莹莹 江超 杨传凯 薛亮 《计算机应用与软件》 北大核心 2025年第2期323-329,373,共8页
为有效去除局部放电信号中的噪声干扰,提出改进VMD(Variational Mode Decomposition)算法和L-M神经网络的去噪方法。利用噪声预处理结合分解能量误差自适应地确定VMD算法的最优模态分解层数;引入正态分布直方图区分局部放电信号和窄带... 为有效去除局部放电信号中的噪声干扰,提出改进VMD(Variational Mode Decomposition)算法和L-M神经网络的去噪方法。利用噪声预处理结合分解能量误差自适应地确定VMD算法的最优模态分解层数;引入正态分布直方图区分局部放电信号和窄带干扰信号,重构局部放电信号;利用L-M神经网络对残留白噪声进行拟合滤除。所提方法对仿真和实测信号进行去噪处理,并与传统去噪方法对比。结果表明,所提方法的去噪评估指标更明显,对噪声干扰的去除效果更优。 展开更多
关键词 局部放电 VmD算法 L-m神经网络 窄带干扰 白噪声
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A Reduced Search Soft-Output Detection Algorithm and Its Application to Turbo-Equalization
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作者 樊祥宁 窦怀宇 毕光国 《Journal of Southeast University(English Edition)》 EI CAS 2001年第1期8-12,共5页
To decrease the complexity of MAP algorithm, reduced state or reduced search techniques can be applied. In this paper we propose a reduced search soft output detection algorithm fully based on the principle of M a... To decrease the complexity of MAP algorithm, reduced state or reduced search techniques can be applied. In this paper we propose a reduced search soft output detection algorithm fully based on the principle of M algorithm for turbo equalization, which is a suboptimum version of the Lee algorithm. This algorithm is called soft output M algorithm (denoted as SO M algorithm), which applies the M strategy to both the forward recursion and the extended forward recursion of the Lee algorithm. Computer simulation results show that, by properly selecting and adjusting the breadth parameter and depth parameter during the iteration of turbo equalization, this algorithm can obtain good performance and complexity trade off. 展开更多
关键词 mAP algorithm Lee algorithm soft output m algorithm turbo equalization
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m-WG逆的性质和计算
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作者 韦华全 吴辉 +1 位作者 刘晓冀 靳宏伟 《数学物理学报(A辑)》 CSCD 北大核心 2024年第3期547-562,共16页
该文研究了闵可夫斯基空间中矩阵的m-WG逆的性质和计算.首先,利用值域和零空间给出了m-WG逆的刻画.其次,给出了m-WG逆与非奇异加边矩阵之间的关系,并讨论了m-WG逆的扰动界.最后,利用逐次矩阵平方算法给出了m-WG逆的计算.
关键词 m-WG逆 加边矩阵 扰动界 逐次矩阵平方算法
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Application of the L-M optimized algorithm to predicting blast vibration parameters 被引量:6
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作者 张艺峰 姚道平 +2 位作者 谢志招 杨江峰 叶友权 《地震学报》 CSCD 北大核心 2008年第5期540-544,554,共5页
当前,以振动峰值作为单一爆破振动安全指标的回归经验公式,在国内外爆破工程界得到广泛应用.但由于爆破机理和爆破介质环境复杂,影响因素诸多,很难用一个经验公式把这些因素都考虑进去;再加上回归分析方法固有的局限性(要求数据... 当前,以振动峰值作为单一爆破振动安全指标的回归经验公式,在国内外爆破工程界得到广泛应用.但由于爆破机理和爆破介质环境复杂,影响因素诸多,很难用一个经验公式把这些因素都考虑进去;再加上回归分析方法固有的局限性(要求数据有较好的分布规律和大样本量),经验公式方法进行振动预测的效果不甚理想(李保珍,1997;陈寿如,2001;张继春,2001). 展开更多
关键词 爆破振动 神经网络 L-m算法 预测
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Nonlinear optimal model and solving algorithms for platform planning problem in battlefield 被引量:2
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作者 WANG Xun YAO Peiyang +1 位作者 ZHANG Jieyong WAN Lujun 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2018年第5期983-994,共12页
Platform planning is one of the important problems in the command and control(C2) field. Hereto, we analyze the platform planning problem and present nonlinear optimal model aiming at maximizing the task completion qu... Platform planning is one of the important problems in the command and control(C2) field. Hereto, we analyze the platform planning problem and present nonlinear optimal model aiming at maximizing the task completion qualities. Firstly, we take into account the relation among tasks and build the single task nonlinear optimal model with a set of platform constraints. The Lagrange relaxation method and the pruning strategy are used to solve the model. Secondly, this paper presents optimization-based planning algorithms for efficiently allocating platforms to multiple tasks. To achieve the balance of the resource assignments among tasks, the m-best assignment algorithm and the pair-wise exchange(PWE)method are used to maximize multiple tasks completion qualities.Finally, a series of experiments are designed to verify the superiority and effectiveness of the proposed model and algorithms. 展开更多
关键词 platform planning nonlinear optimal model Lagrange relaxation method m-best algorithm pair-wise exchange(PWE)
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Greedy Algorithm in m-Term Approximation for Periodic Besov Class with Mixed Smoothness
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作者 宋占杰 叶培新 《Transactions of Tianjin University》 EI CAS 2009年第1期75-78,共4页
Nonlinear m-term approximation plays an important role in machine learning, signal processing and statistical estimating. In this paper by means of a nondecreasing dominated function, a greedy adaptive compression num... Nonlinear m-term approximation plays an important role in machine learning, signal processing and statistical estimating. In this paper by means of a nondecreasing dominated function, a greedy adaptive compression numerical algorithm in the best m -term approximation with regard to tensor product wavelet-type basis is pro-posed. The algorithm provides the asymptotically optimal approximation for the class of periodic functions with mixed Besov smoothness in the L q norm. Moreover, it depends only on the expansion of function f by tensor pro-duct wavelet-type basis, but neither on q nor on any special features of f. 展开更多
关键词 greedy algorithm m -term approximation Besov space mixed smoothness
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PARTIAL ELIMINTATION ALGORITHM FOR A LINEAR RECURRENCE SYSTEM R(n, m) OF ORDER m
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作者 郑慧娆 黄传河 樊戊 《Acta Mathematica Scientia》 SCIE CSCD 1993年第3期241-250,共10页
This paper presents an algorithm for computing a linear recurrence system R(n, m) of order m for n equations on MIMD parallel system. This algorithm is not only easy to be programmed on a parallel computer system, but... This paper presents an algorithm for computing a linear recurrence system R(n, m) of order m for n equations on MIMD parallel system. This algorithm is not only easy to be programmed on a parallel computer system, but also reduces the data-waiting time due to compute-ahead strategy. The paper analyses how to achieve maximal load balancing when the algorithm is implemented on MIMD parallel system. By the end of the paper, an analysis on the speedup and parallel efficiency are given. The results indicate that the new parallel elimination algorithm has great improvement compared with the old ones. 展开更多
关键词 mImD OF ORDER m PARTIAL ELImINTATION algorithm FOR A LINEAR RECURRENCE SYSTEm R
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On Over-Relaxed Proximal Point Algorithms for Generalized Nonlinear Operator Equation with (A,η,m)-Monotonicity Framework
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作者 Fang Li 《International Journal of Modern Nonlinear Theory and Application》 2012年第3期67-72,共6页
In this paper, a new class of over-relaxed proximal point algorithms for solving nonlinear operator equations with (A,η,m)-monotonicity framework in Hilbert spaces is introduced and studied. Further, by using the gen... In this paper, a new class of over-relaxed proximal point algorithms for solving nonlinear operator equations with (A,η,m)-monotonicity framework in Hilbert spaces is introduced and studied. Further, by using the generalized resolvent operator technique associated with the (A,η,m)-monotone operators, the approximation solvability of the operator equation problems and the convergence of iterative sequences generated by the algorithm are discussed. Our results improve and generalize the corresponding results in the literature. 展开更多
关键词 New Over-Relaxed Proximal Point algorithm Nonlinear OPERATOR Equation with (A η m)-monotonicity FRAmEWORK Generalized RESOLVENT OPERATOR Technique Solvability and Convergence
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Research on Algorithm M8 Applying to TIP Prediction of China's Strong Earthquake Cases in the Past Decades
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作者 Huang Deyu and Chen YongCenter for Analysis and Prediction,SSB,Beijing 100036,China State Seismological Bureau,Beijing 100036,China 《Earthquake Research in China》 1994年第4期4-10,共7页
This paper offers a positive research result of TIP before 16 strong earthquakes in North and Southwest China and their nearby areas since 1979 by using improved algorithm M8.The result showed that 14 of them were det... This paper offers a positive research result of TIP before 16 strong earthquakes in North and Southwest China and their nearby areas since 1979 by using improved algorithm M8.The result showed that 14 of them were determined to occur within the times of increased probability.TIP precaution occupies about 37% of the total space-time domain.That means we have made quite good results of intermediate-term prediction of strong earthquakes.So the method could be used as one of the useful means of the intermediate-term prediction of strong earthquakes. 展开更多
关键词 m8 algorithm Intermediate-term earthquake PREDICTION
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LEVERRIER'S ALGORITHM FOR m-D SYSTEM
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作者 王国荣 郑兵 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 2004年第1期10-23,共14页
A Leverrier-like algorithm is presented which allows the computation of the transfer function of a linear regular system from its m-D state-space description,without inverting a multivariable polynomial matrix. This a... A Leverrier-like algorithm is presented which allows the computation of the transfer function of a linear regular system from its m-D state-space description,without inverting a multivariable polynomial matrix. This algorithm is an extension of the classic Leverrier's algorithm for 1-D system and it reduces the computational cost.ra-D Cayley-Hamilton theorem is also shown by the algorithm. 展开更多
关键词 LEVERRIER算法 多维系统 凯莱-哈密顿理论 状态空间矩阵 多元多项式矩阵 控制论
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A DIRECT ALGORITHM FOR DISTINGUISHING NONSINGULAR M-MATRIX AND H-MATRIX
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作者 李耀堂 朱艳 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 2005年第1期79-86,共8页
A direct algorithm is proposed by which one can distinguish whether a matrix is an M-matrix (or H-matrix) or not quickly and effectively. Numerical examples show that it is effective and convincible to distinguish M-m... A direct algorithm is proposed by which one can distinguish whether a matrix is an M-matrix (or H-matrix) or not quickly and effectively. Numerical examples show that it is effective and convincible to distinguish M-matrix (or H-matrix) by using the algorithm. 展开更多
关键词 计算方法 非奇m-矩阵 H-矩阵 线性代数
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水下视觉SLAM分段式光束平差算法
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作者 白云鹏 徐会希 吕凤天 《测绘通报》 CSCD 北大核心 2024年第11期7-12,共6页
自主水下机器人(AUV)采用视觉SLAM系统可以实现近距离精确定位,但是面对水下大规模场景时,后端优化采用的光束平差算法(BA)存在内存不足和计算效率低的问题,对此本文提出了一种改进的分段式BA优化算法。首先采用基于运动模式的分段方法... 自主水下机器人(AUV)采用视觉SLAM系统可以实现近距离精确定位,但是面对水下大规模场景时,后端优化采用的光束平差算法(BA)存在内存不足和计算效率低的问题,对此本文提出了一种改进的分段式BA优化算法。首先采用基于运动模式的分段方法,根据相机的直行运动和转弯运动将轨迹分段后对每个子分段分别进行BA优化;然后各子分段采用动态调整优化权重的求解方法,根据不同子分段的运动模式动态调整优化参数;最后针对BA代价函数的求解,采用改进的列文伯格-马夸尔特(L-M)求解算法,将信赖域定义为可调参数,优化由雅克比矩阵非正定性引发的算法稳定性问题,提高运算效率。在数据集上的试验结果表明,在运行时间较长、环境较恶劣的数据集序列上,本文算法相较于ORB-SLAM3算法有更好的精度,同时全局BA的效率有显著提高。 展开更多
关键词 水下视觉SLAm 后端优化 光束平差法 分段式BA L-m算法
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An Algorithm for Cavity Reconstruction in Electrical Impedance Tomography
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作者 FENG TIAN-HONG MA FU-MING 《Communications in Mathematical Research》 CSCD 2011年第3期279-288,共10页
We consider the inverse problem of finding cavities within some object from electrostatic measurements on the boundary. By a cavity we understand any object with a different electrical conductivity from the background... We consider the inverse problem of finding cavities within some object from electrostatic measurements on the boundary. By a cavity we understand any object with a different electrical conductivity from the background material of the body. We give an algorithm for solving this inverse problem based on the output nonlinear least-square formulation and the regularized Newton-type iteration. In particular, we present a number of numerical results to highlight the potential and the limitations of this method. 展开更多
关键词 electrical impedance tomography CONDUCTIVITY Levenberg-marquardt (L-m algorithm
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A SIMPLIFIED QRD-M SIGNAL DETECTION ALGORITHM FOR MIMO-OFDM SYSTEMS
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作者 Jian Haifang Yao Xiaocheng Shi Yin 《Journal of Electronics(China)》 2010年第1期88-93,共6页
QR Decompositon with an M-algorithm(QRD-M) has good performance with low complexity,which is considered as a promising technique in Multiple-Input Multiple-Output(MIMO) detections.This paper presented a simplified QRD... QR Decompositon with an M-algorithm(QRD-M) has good performance with low complexity,which is considered as a promising technique in Multiple-Input Multiple-Output(MIMO) detections.This paper presented a simplified QRD-M algorithm for MIMO Orthogonal Frequency Division Multiplexing(MIMO-OFDM) systems.In the proposed scheme,each surviving path is expanded only to partial branches in order to carry out a limited tree search.The nodes are expanded on demand and sorted in a distributed manner,based on the novel expansion scheme which can pre-determine the children's ascending order by their local distances.Consequently,the proposed scheme can significantly decrease the complexity compared with conventional QRD-M algorithm.Hence,it is especially attractive to VLSI implementation of the high-throughput MIMO-OFDM systems.Simulation results prove that the proposed scheme can achieve a performance very close to the conventional QRD-M algorithm. 展开更多
关键词 multiple-Input multiple-Output(mImO) Orthogonal Frequency Division multiplexing(OFDm) QR Decompositon with an m-algorithm(QRD-m) Detection
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PARALLEL(M-N) SVD ALGORITHMS ON THE SIMD COMPUTERS
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作者 Wang Guorong Wei Yimin(Dept. of Mathematics, Shanghai Normal University Shanghai 200234, P. R. China Institute of Mathematics, Fudan University Shanghai 200133, P. R. China) 《Wuhan University Journal of Natural Sciences》 CAS 1996年第Z1期541-546,共6页
Let A be m by n matrix, M and N be positive definite matrices of order in and n respectively. This paper presents an efficient method for computing (M-N) singular value decomposition((M-N) SVD) of A on a cube connecte... Let A be m by n matrix, M and N be positive definite matrices of order in and n respectively. This paper presents an efficient method for computing (M-N) singular value decomposition((M-N) SVD) of A on a cube connected single instruction stream-multiple data stream(SIMD) parallel computer. This method is based on a one-sided orthogonalization algorithm due to Hestenes. On the cube connected SIMD parallel computer with o(n) processors, the (M -- N) SVD of a matrix A requires a computation time of o(m3 log m/n). 展开更多
关键词 Parallel algorithm cube connected SImD machine (m-N) SVD.
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A Sphere Detection Based Adaptive MIMO Detection Algorithm for LTE-A System
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作者 Xuanli Wu Lukuan Sun Mingxin Luo 《Communications and Network》 2013年第2期25-29,共5页
An adaptive MIMO detection algorithm for LTE-A system which is based on sphere detection is proposed in this paper. The proposed algorithm uses M-algorithm for reference to remove unreliable constellation candidates b... An adaptive MIMO detection algorithm for LTE-A system which is based on sphere detection is proposed in this paper. The proposed algorithm uses M-algorithm for reference to remove unreliable constellation candidates before search, and the number of constellation reservation is adaptively adjusted according to SNR. Simulations of LTE-A downlink show that the BER performance of the proposed detection algorithm is nearly the same as maximum likelihood (ML) detection algorithm. However, the complexity is reduced by about 30% compared with full constellation sphere detection. 展开更多
关键词 ADAPTIVE mImO DETECTION SPHERE DETECTION m-algorithm LTE-A System
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Image Encryption and Decryption Based on Chaotic Algorithm
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作者 Yue Hu Ruyue Tian 《Journal of Applied Mathematics and Physics》 2020年第9期1814-1825,共12页
This paper analyzes the problems in image encryption and decryption based on chaos theory. This article introduces the application of the two-stage Logistic algorithm in image encryption and decryption, then by inform... This paper analyzes the problems in image encryption and decryption based on chaos theory. This article introduces the application of the two-stage Logistic algorithm in image encryption and decryption, then by information entropy analysis it is concluded that the security of this algorithm is higher compared with the original image;And a new image encryption and decryption algorithm based on the combination of two-stage Logistic mapping and <i>M</i> sequence is proposed. This new algorithm is very sensitive to keys;the key space is large and its security is higher than two-stage Logistic mapping of image encryption and decryption technology. 展开更多
关键词 Chaos algorithm Image Encryption and Decryption Two-Stage Logistic mapping m Sequence
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Optimal M-BCJR Turbo Decoding: The Z-MAP Algorithm
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作者 Aissa Ouardi Ali Djebbari Boubakar Seddik Bouazza 《Wireless Engineering and Technology》 2011年第4期230-234,共5页
In this paper, we propose a novel idea for improvement performances of the leader M-BCJR algorithm functioning in low complexity. The basic idea consists to localize error instant possibility, and then increase the co... In this paper, we propose a novel idea for improvement performances of the leader M-BCJR algorithm functioning in low complexity. The basic idea consists to localize error instant possibility, and then increase the complexity around this moment. We also propose an easy and important idea for early localisation of erroneous moments. We call this new algorithm Z-MAP. The simulations show that the improvement of performances is significant. The performances of Z-MAP turbo decoding are so close to full MAP-BCJR performances. Furthermore, the complexity is the same that of the M-BCJR. So, Z-MAP is an optimal version of M-BCJR algorithm. 展开更多
关键词 mAP-BCJR algorithm m-BCJR TURBO Decoding Complexity Reduction Error LOCALISATION Criterion
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