红黑排序混合算法收敛速度分析

The algorithm of applying the block Gauss elimination to the Red-Black or-dering matrix to reduce the order of the system then solve the reduced system byiterative methods is called Hybrid Red-Black Ordering algorithm.In this paper,we discuss the convergence rate of the hybrid methods combined with JACOBI,CG,GMRES(m).Theoretical analysis shows that without preconditioner thesethree hybrid methods converge about 2 times as fast as the corresponding natural ordering methods.For the case that all the eigenvalues is near the real axis, the GMRES(m) algorithm converges about 3 times faster than the natural ordering GMRES(m).Various numerical experiments are presented.For large scale prob-lem with preconditioners, numerical experiments show that the GMRES(m) hybrid methods converge from about 3 times to even 5 times as fast as the natural order-ing methods and the computing time is reduced to about 1/3 even 1/6 of that of the natural ordering methods.     

Lp-混合误差下线性与非参数回归模型估计量的平均相合性

1 引言 本文研究了一类误差是L~p_混合的线性模型与非参数回归模型,在免去了文献中对模型所施加的“误差绝对值的p次方一致可积”这一限制条件后,仍得到了估计量的p阶平均相合性. 定义1 设p≥1,(X_n,n≥1)为定义在概率空间(Ω,F,P)上的L~p-可积的随机变量列,{F_n,-∞相似文献   

双阱结构含时量子输运的微扰论及输运方程

利用Lewis-Riesenfeld不变量理论和与不变量有关的幺正变换方法研究了双阱结构含时量子 输运的微扰论.获得了双阱内含时薛定谔方程的精确解的完备集，在此基础上，把双阱与左 右热库的相互作用作为微挠，获得了双阱结构一阶近似下的输运方程，并在绝热近似下提供 了一种用于研究量子输运过程中几何相因子(Berry相因子)的方法. 关键词： 含时量子输运 输运方程 不变量 几何相因子     

多周期公用工程系统运行的模型,优化方法与应用

针对多周期公用工程系统的运行优化问题，考虑了设备的启停费用的情况下。建立了混合整数非线性规划模型并证明了最优解的存在性。针对该运行优化问题本将其分解成若干子问题，然后利用改进的Hooke-Jeeves优化算法求解每个子问题。应用于具体实例，其数值结果与其它方法得到的相比。运行时间短，且更适合多周期公用工程问题的求解。     

Time-Resolved Femtosecond Degenerate Four-Wave Mixing in LiNbO3：Fe,Mg Crystal

Forward degenerate four-wave mixing （DFWM） processes are investigated with a femtosecond pulsed laser in lithium niobate crystal doubly-doped with magnesium and iron （LiNbO3：Fe, Mg）. The pulse energy dependence reveals a pure third-order nonlinear response, and the third-order nonlinear susceptibility x^（3） in the material is evaluated to be 4.96 × 10^-13 esu. The time-resolved DFWM process shows a response time of x^（3） shorter than 100fs, which is due to the nonresonant electronic nonlinearities. Our results indicate that LiNbO3 crystals have potentials for ultrafast real-time optical processing systems, which require a large and fast x^（3） optical nonlinearity.     

DUAL RECIPROCITY HYBRID BOUNDARY NODE METHOD FOR THREE-DIMENSIONAL ELASTICITY WITH BODY FORCE

Combining Dual Reciprocity Method （DRM） with Hybrid Boundary Node Method （HBNM）, the Dual Reciprocity Hybrid Boundary Node Method （DRHBNM） is developed for three-dimensional linear elasticity problems with body force. This method can be used to solve the elasticity problems with body force without domain integral, which is inevitable by HBNM. To demonstrate the versatility and the fast convergence of this method, some numerical examples of 3-D elasticity problems with body forces are examined. The computational results show that the present method is effective and can be widely applied in solving practical engineering problems.     

Coriolis耦合对Cl+H2→H+HCl非绝热反应的影响

使用含时波包方法 ,在Capecchi和Werner拟合的非绝热耦合势能面上 ,研究了Cl处在自旋轨道基态以及自旋轨道激发态时与H2 反应的活性 ,并且讨论了Coriolis耦合的影响 .计算了某些角动量时的反应几率 .计算结果显示 ,当Cl原子处在自旋轨道激发态与处在基态的H2 的反应活性很小 ,Coriolis耦合在这个反应中起了很小的作用 .     

后退火温度对溅射沉积Pb(Zr0.52Ti0.48)O3铁电薄膜结构和性能的影响

在具有Ti缓冲层的Pt(111)底电极上,用射频溅射工艺在较低的衬底温度(370℃)和纯Ar气氛中沉积Pb(Zr0.52Ti0.48)O3(PZT)薄膜,沉积过程中基片架作15°摇摆以提高膜厚的均匀性。然后将样品在大气中进行5min快速热退火处理,退火温度550-680℃。用XRD、SEM分析薄膜的微结构,RT66A标准铁电测试系统测量样品的铁电和介电性能。结果表明,所沉积的Pt为(111)取向,仅当后退火温度高于580℃,沉积在Pt(111)上的PZT薄膜才能形成钙钛矿结构的铁电相,退火温度在580-600℃时结晶为(110)择优取向,退火温度高于600℃时结晶为(111)择优取向。PZT薄膜的极化强度随退火温度的升高而增加,但退火温度超过650℃时漏电流急剧上升,因此退火处理的温度对PZT薄膜的结构和性能有决定性的影响。     

Measurements of Boundary Plasma in Synergy Discharges of IBW and LHCD on the HT-7 Tokamak

By applying ion Bernstein wave (IBW) heating into the lower hybrid current drive (LHCD) plasma, improved confinements have been obtained in the HT-7 tokamak. The central electron temperature was doubled and the storage energy was increased significantly. The core electron density and temperature were broadened and ther profiles near the edge were steepened. A transport barrier has been formed in the vicinity of the limlter radial location. An enhanced shear in poloidal phase velocity was found in the same region with reduction of the fluctuation levels and the coherences between fluctuations. The results suggest that the improved confinement in the IBW and LHCD plasma is at least partially due to the modification of shear in poloidal velocity and then the suppression of fluctuations and fluctuation induced fluxes via de-correlation effect.     

电感耦合等离子体发射光谱法同时测定涂料中的Pb、Cd、Cr和Hg

研究了电感耦合等离子体发射光谱法测定涂料中的重金属Pb，Cd，Cr和Hg，确定了测定涂料中的重金属Pb，Cd，Cr和Hg的最佳条件。加标回收试验和实际样品测定结果表明，方法的回收率和精密度分别在99.5％-110．0％和0．95％-1．98％范围，该方法快速、准确、可靠，各元素的检出限能满足涂料安全标准，适用于涂料的日常检验。