The randomized block Kaczmarz(RBK)method is a randomized orthogonal projection iterative approach,which plays an important role in solving large-scale linear systems.A key point of this type of method is to select wor...The randomized block Kaczmarz(RBK)method is a randomized orthogonal projection iterative approach,which plays an important role in solving large-scale linear systems.A key point of this type of method is to select working rows effectively during iterations.However,in most of the RBK-type methods,one has to scan all the rows of the coefficient matrix in advance to compute probabilities or paving,or to compute the residual vector of the linear system in each iteration to determine the working rows.These are unfavorable for big data problems.To cure these drawbacks,we propose a semi-randomized block Kaczmarz(SRBK)method with simple random sampling for large-scale linear systems in this paper.The convergence of the proposed method is established.Numerical experiments on some real-world and large-scale data sets show that the proposed method is often superior to many state-of-the-art RBK-type methods for large linear systems.展开更多
An optimizing method of observation scheduling based on time-division multiplexing is proposed in this paper,and its efficiency is verified by outdoor experiments. The initial observation scheduling is first obtained ...An optimizing method of observation scheduling based on time-division multiplexing is proposed in this paper,and its efficiency is verified by outdoor experiments. The initial observation scheduling is first obtained by using a semi-random search algorithm,and secondly the connection time pair（ CTP） between adjacent objects is optimized by using a genetic algorithm. After obtaining these two parameters,the final observation scheduling can be obtained. According to pre-designed tracks between each adjacent objects in observation order,the seamless observation of neighboring targets is derived by automatically steering the antenna beam,so the observation efficiency is improved.展开更多
One of the most important issues in inertial confinement fusion (ICF) is to study the uniformity of the radiation field around the implosion pellet containing fuel.To this end,a numerical method linking Monte Carlo wi...One of the most important issues in inertial confinement fusion (ICF) is to study the uniformity of the radiation field around the implosion pellet containing fuel.To this end,a numerical method linking Monte Carlo with iteration method is presented for calculating the radiation transfer problems in a cavity.The detail of the calculation scheme is described and some numerical examples are also given.展开更多
基金National Natural Science Foundation of China under grant 12271518the Fujian Natural Science Foundation under grant 2023J01354+1 种基金the Key Research and Development Project of Xuzhou Natural Science Foundation under grant KC22288the Open Project of Key Laboratory of Data Science and Intelligence Education of the Ministry of Education under grant DSIE202203。
文摘The randomized block Kaczmarz(RBK)method is a randomized orthogonal projection iterative approach,which plays an important role in solving large-scale linear systems.A key point of this type of method is to select working rows effectively during iterations.However,in most of the RBK-type methods,one has to scan all the rows of the coefficient matrix in advance to compute probabilities or paving,or to compute the residual vector of the linear system in each iteration to determine the working rows.These are unfavorable for big data problems.To cure these drawbacks,we propose a semi-randomized block Kaczmarz(SRBK)method with simple random sampling for large-scale linear systems in this paper.The convergence of the proposed method is established.Numerical experiments on some real-world and large-scale data sets show that the proposed method is often superior to many state-of-the-art RBK-type methods for large linear systems.
基金Supported by the National Natural Science Foundation of China(61271373,61571043)111 Project of China(B14010)
文摘An optimizing method of observation scheduling based on time-division multiplexing is proposed in this paper,and its efficiency is verified by outdoor experiments. The initial observation scheduling is first obtained by using a semi-random search algorithm,and secondly the connection time pair（ CTP） between adjacent objects is optimized by using a genetic algorithm. After obtaining these two parameters,the final observation scheduling can be obtained. According to pre-designed tracks between each adjacent objects in observation order,the seamless observation of neighboring targets is derived by automatically steering the antenna beam,so the observation efficiency is improved.
基金Project supported in part by the National Natural Science Foundation of China and the National High-Tech ICF Committee in China.
文摘One of the most important issues in inertial confinement fusion (ICF) is to study the uniformity of the radiation field around the implosion pellet containing fuel.To this end,a numerical method linking Monte Carlo with iteration method is presented for calculating the radiation transfer problems in a cavity.The detail of the calculation scheme is described and some numerical examples are also given.
