Quasi-Shephard’s problem on projections of convex bodies

In this paper, we develop a Fourier analytic approach to study the problem in the Brunn-Minkowski-Firey theory of convex bodies. We formulate and solve a quasi-Shephard＇s problem on projections of convex bodies.     

Program evaluation and its application to equipment based on super-efficiency DEA and gray relation projection method

For the gray attributes of the equipment program and its difficulty to carry out the quantitative assessment of the equipment program information, the gray relation projection method is simply reviewed. Combining the super-data envelopment analysis（DEA） model and the gray system theory, a new super-DEA for measuring the weight is proposed, and a gray relation projection model is established to rank the equipment programs. Finally, this approach is used to evaluate the equipment program. The results are verified valid and can provide a new way for evaluating the equipment program.     

乌鲁木齐市米东路交通量预测方法浅析

文章阐述了城市道路交通量预测方法,通过实例分析,对交通预测方法提出了独到的见解。     

B(H)上的Jordan正交可导映射

目的 研究B(H)上的Jordan正交可导映射.方法 算子论方法.结果 若φ:(B(H))→(B(H))上的Jordan正交可导线性映射,则存在数μ,λ∈R和算子M,N∈(B(H)),且M+M*=μ1,N+N*=λI,使得对所有的A∈(B(H)),有φ(A)=AM+M.结论 (B(H))上的Jordan正交可导线性映射...     

一类带有混合约束的二次半定规划及其投影收缩算法

研究带有线性等式及线性不等式约束的二次半定规划问题.讨论对偶理论、最优性条件及其等价的单调变分不等式,给出相应的投影收缩算法.经收敛性分析,可得该算法是全局收敛的.     

均衡约束最优化的一个共轭投影梯度算法

讨论均衡约束最优化问题,利用一个互补函数和扰动技术将原问题转换为非线性等式和不等式约束最优化问题,结合罚函数法提出了一个共轭投影梯度算法,在适当的条件下,证明了算法的全局收敛性,且具有超线性收敛性.     

Hilbert空间中闭的拟严格伪压缩映像的收缩投影方法(英文)

在Hilbert空间中,引入和研究了一种新的收缩投影迭代算法,用以逼近拟严格伪压缩映像的不动点.在适当的条件下,利用所提出的收缩投影算法证明了闭的拟严格伪压缩映像的不动点的强收敛定理,所得结果改进和推广了近期文献的相关结果.     

一种改进的自适应投影法解广义纳什均衡问题

广义纳什均衡是非合作博弈论中一个重要的概念,在经济学、管理科学、交通规划等领域有着广泛的应用.本文提出一种改进的自适应投影方法求解广义纳什均衡问题,并证明了新算法的全局收敛性.数值实验结果也表明新方法的可靠性和有效性.     

GPGPU Accelerated Fast Convolution Back-Projection for Radar Image Reconstruction

This paper describes a parallel fast convolution back-projection algorithm design for radar image reconstruction. State-of-the-art general purpose graphic processing units (GPGPU) were utilized to accelerate the processing. The implementation achieves much better performance than conventional processing systems, with a speedup of more than 890 times on NVIDIA Tesla C1060 supercomputing cards compared to an Intel P4 2.4 GHz CPU. 256×256 pixel images could be reconstructed within 6.3 s, which makes real-time ...     

胎儿心电提取自适应滤波器仿真对比研究

为了提高胎儿心电(FECG)提取的准确性和效率,研究了采用最小均方算法、递归最小二乘(RLS)算法、仿射投影算法、能量归一化最小均方算法的四种自适应滤波器应用于FECG提取的速度和准确性.根据设计的基于MATLAB的FECG提取算法仿真分析了四种自适应滤波器的收敛速度与稳态性能的影响因素,并通过调整和优化FECG提取参数对四种自适应滤波器进行了仿真对比.研究结果表明,RLS算法自适应滤波器性能最优,可以快速准确地从母体心电中分离出FECG.