期刊文献+
共找到4篇文章
< 1 >
每页显示 20 50 100
块AOR、块SOR和块JOR迭代法的收敛性
1
作者 宋永忠 《南京师大学报(自然科学版)》 CAS CSCD 1990年第3期17-25,共9页
本文引进块Jacobi迭代矩阵B的优矩阵(?),来研究解线性方程组的块AOR、块SOR和块JOR迭代法的收敛性。即若‖·‖是矩阵的某个相容范数。且‖B_(ij)‖(?)β_(ij),i,j=1,…,m,则令(?)=(β_(ij))。利用(?),我们给出了块AOR(0(?)γ<2/... 本文引进块Jacobi迭代矩阵B的优矩阵(?),来研究解线性方程组的块AOR、块SOR和块JOR迭代法的收敛性。即若‖·‖是矩阵的某个相容范数。且‖B_(ij)‖(?)β_(ij),i,j=1,…,m,则令(?)=(β_(ij))。利用(?),我们给出了块AOR(0(?)γ<2/[1+ρ(?)]),0<ω<max(2γ/[1+ρ(Lγ)],2/[1+ρ(?)]),块SOR(0<ω<2/[1+ρ(?)])和块JOR(0<ω<2/[1+ρ(?)]迭代法收敛的若干充分条件。 展开更多
关键词 线性方程组 块迭代法 优阵 收敛性
在线阅读 下载PDF
Improved nonconvex optimization model for low-rank matrix recovery 被引量:1
2
作者 李玲芝 邹北骥 朱承璋 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第3期984-991,共8页
Low-rank matrix recovery is an important problem extensively studied in machine learning, data mining and computer vision communities. A novel method is proposed for low-rank matrix recovery, targeting at higher recov... Low-rank matrix recovery is an important problem extensively studied in machine learning, data mining and computer vision communities. A novel method is proposed for low-rank matrix recovery, targeting at higher recovery accuracy and stronger theoretical guarantee. Specifically, the proposed method is based on a nonconvex optimization model, by solving the low-rank matrix which can be recovered from the noisy observation. To solve the model, an effective algorithm is derived by minimizing over the variables alternately. It is proved theoretically that this algorithm has stronger theoretical guarantee than the existing work. In natural image denoising experiments, the proposed method achieves lower recovery error than the two compared methods. The proposed low-rank matrix recovery method is also applied to solve two real-world problems, i.e., removing noise from verification code and removing watermark from images, in which the images recovered by the proposed method are less noisy than those of the two compared methods. 展开更多
关键词 machine learning computer vision matrix recovery nonconvex optimization
在线阅读 下载PDF
Forecasting and optimal probabilistic scheduling of surplus gas systems in iron and steel industry 被引量:6
3
作者 李磊 李红娟 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第4期1437-1447,共11页
To make full use of the gas resource, stabilize the pipe network pressure, and obtain higher economic benefits in the iron and steel industry, the surplus gas prediction and scheduling models were proposed. Before app... To make full use of the gas resource, stabilize the pipe network pressure, and obtain higher economic benefits in the iron and steel industry, the surplus gas prediction and scheduling models were proposed. Before applying the forecasting techniques, a support vector classifier was first used to classify the data, and then the filtering was used to create separate trend and volatility sequences. After forecasting, the Markov chain transition probability matrix was introduced to adjust the residual. Simulation results using surplus gas data from an iron and steel enterprise demonstrate that the constructed SVC-HP-ENN-LSSVM-MC prediction model prediction is accurate, and that the classification accuracy is high under different conditions. Based on this, the scheduling model was constructed for surplus gas operating, and it has been used to investigate the comprehensive measures for managing the operational probabilistic risk and optimize the economic benefit at various working conditions and implementations. It has extended the concepts of traditional surplus gas dispatching systems, and provides a method for enterprises to determine optimal schedules. 展开更多
关键词 surplus gas prediction probabilistic scheduling iron and steel enterprise HP filter Elman neural network(ENN) least squares support vector machine(LSSVM) Markov chain
在线阅读 下载PDF
A novel stabilization approach for small signal disturbance of power system with time-varying delay 被引量:4
4
作者 杨波 孙元章 《Journal of Central South University》 SCIE EI CAS 2013年第12期3522-3527,共6页
Small signal instability may cause severe accidents for power system if it can not be dear correctly and timely. How to maintain power system stable under small signal disturbance is a big challenge for power system o... Small signal instability may cause severe accidents for power system if it can not be dear correctly and timely. How to maintain power system stable under small signal disturbance is a big challenge for power system operators and dispatchers. Time delay existing in signal transmission process makes the problem more complex. Conventional eigenvalue analysis method neglects time delay influence and can not precisely describe power system dynamic behaviors. In this work, a modified small signal stability model considering time varying delay influence was constructed and a new time delay controller was proposed to stabilize power system under disturbance. By Lyapunov-Krasovskii function, the control law in the form of nonlinear matrix inequality (NLMI) was derived. Considering synthesis method limitation for time delay controller at present, both parameter adjustment method by using linear matrix inequality (LMI) solver and iteration searching method by solving nonlinear minimization problem were suggested to design the controller. Simulation tests were carried out on synchronous-machine infinite-bus power system. Satisfactory test results verify the correctness of the proposed model and the feasibility of the stabilization approach. 展开更多
关键词 power system stability small signal disturbance time-varying delay power system stabilizer
在线阅读 下载PDF
上一页 1 下一页 到第
使用帮助 返回顶部