三步投影方法的广义收敛及其在变分不等式中的应用

在这篇文章中,首先介绍了带有误差估计的三步投影法的广义模型,其次将其应用到解决一组在Hilbert空间中的非线性变分不等式的近似解。令H是实值Hilbert空间,K是H中的非空闭凸集。对任意选定的起始点x0,y0,z0∈K,计算序列｛xn｝,｛yn｝and｛zn｝,使得xn1=(1-an-dn)xn anPk[zn-ρT(zn)] dnunforρ>0Yn=(1-bn-en)xn bnPk[xn-ηT(xn)] enνnforη>0zn=(1-cn-fn)xn cnPκ[yn-λT(yn)] fnwnforλ>0其中T:K→H是K上的非线性映射,PK是H到K的投影且o≤an,bn,cn,dn,en,fn≤1,｛un｝,｛vn｝,｛wn｝是K中的有界序列。三步投影模型应用到许多变分不等式问题。     

三类G-广义单调性 G-凸性及其应用

研究了三类G-广义单调映射———严格G-单调映射、严格G-拟单调映射和强G-伪单调映射。文中讨论了严格G-单调映射、严格G-拟单调映射分别与严格G-凸函数、严格G-拟凸函数之间的重要关系,并给出了强G-伪单调映射与强G-伪凸函数间的的一个充分条件,最后还深入讨论了G-伪单调映射在似变分不等式中的重要应用。     

正则环的模比较和模刻画

主要对正则环的相关理论进行了研究,包括正则环理想上的模比较,并进一步研究了强正则环的模刻画.     

网格计算中任务的优化分配

网格计算是一种新兴技术,有很多的优点,也有亟待解决的问题。阐述了网格计算的基本概念及其几个关键性问题,就网格计算中任务分配问题,着重考虑工作完成时间和所耗成本,提出了A*R和OASS两种算法,并对测试结果进行了分析比较。     

LF-拓扑空间中S*P-连通性的樊畿定理

在LF-拓扑空间中利用强半预闭集引入了强半预远域的概念,并借助于强半预远域给出了S*P-连通性的樊畿定理.     

Tree-ring based PDSI reconstruction since AD 1842 in the Ortindag Sand Land, east Inner Mongolia

epartment of Wood Science, University of Hamburg, Hamburg D-21031, GermanyBased on three Chinese pine (Pinus tabulaeformis Carr.) and one Meyer spruce (Picea meyeri Rehd. et Wils.) ring-width chronologies, a 163-year drought history was reconstructed in the eastern Ortindag Sand Land. All tree-ring chronologies show large inter-annual variations and strong common signals and fairly consistent variation between different chronologies, indicating that they are excellent proxy of regional climate. A regional chronology (RC) was established by averaging the four standard chronologies and further employed for the analysis and climatic reconstruction. The analysis revealed that tree growth is primarily limited by low precipitation in February-March and June-July and high temperature in May-July. In addition, RC has high correlations with the monthly Palmer drought severity index (PDSI) prior to and during the growing season because the PDSI considers the accumulation of the droughts. Response function analysis revealed that RC only exhibits significant correlations with the PDSI in June and July (close to the 95% significance level in May). Because May―July is a critical period for tree growth, the average May-July PDSI (PDSI5-7) was reconstructed back to 1842 using RC in the Ortindag Sand Land. The reconstruction can explain 52% of the PDSI variance and the equation was rather stable over time. It agrees well with the variation of the average dryness/wetness indices in North China,and captures the decline process of the East Asian summer monsoon since the mid-1960s. It is worth noting that the Ortindag Sand Land has experienced the most severe drought in the recent 40 years based on the 163-year drought reconstruction. Like summer precipitation in North China the reconstructed PDSI5-7 also displays a 20-year oscillation.     

强α-预不变凸函数

研究了一类重要的广义凸函数—强α-预不变凸函数,讨论了它与α-预不变凸函数、严格α-预不变凸函数及半严格α-预不变凸函数之间的关系,并在中间点的强α-预不变凸性下得到了它的3个重要的性质定理,同时给出了强α-预不变凸函数在优化中的两个重要应用,这些结果在一定程度上完善了对强α-预不变凸函数的研究。     

塔里木河下游胡杨径向生长与水文的响应

借助树木水文学的方法,文章以对塔里木河下游主要建群植物胡杨年轮的生长量变化进行深入分析。结果显示：（1）塔里木河下游生态输水后,胡杨样枝年轮生长量变化明显,说明输水对胡杨生长量的影响是显著的和积极的;并表现出明显的时空动态变化规律;（3）胡杨样枝的中部和底部年轮径向生长量之间的相关性显著,主枝顶部和侧枝顶部以及主枝中部和侧枝中部之间的相关性显著;（4）随着输水时间的延续,样枝胡杨主枝和侧枝径向生长量呈上升趋势;而且胡杨样枝不同部位径向生长量年际变化规律呈上升趋势,这充分说明塔里木河下游实施的生态输水工程对胡杨生长量的影响是显著的和积极的。     

素环上非线性Lie中心化子

M是包含非平凡投影P的单位素环. 利用算子论方法证明了: 如果φ: M→M是非线性Lie中心化子, 则存在λ∈C及映射ξ: M→C满足ξ(［A,B］)=0(A,B∈M), 使得对任意的X∈M, 有φ(X)=λX+ξ(X)I.     

Hilbert C*-模中本原理想子模的一些性质

给出了Hilbert C*-模中本原理想子模的定义,研究了Hilbert C*-模的本原理想子模空间以及谱空间的一些性质,所得结果推广和改进了已有的结果。