复合非光滑最优化线搜索方法的全局收敛性

考虑复合非光滑最优化问题minh(f(x))，其中f是一个局部Lipschitzian函数，h是一个连续可微凸函数。本文给出了复合非光滑最优化问题的一个线搜索算法，并且在一定条件下证明了该算法的全局收敛性。     

复合非光滑优化的一种非单调线搜索方法

给出了一个处理复合非光滑极小化问题minh(f(x))的非单调线搜索算法．目标函数中，f：R^n→R^n是局部Lipschitz函数，h：R^n→R是连续可微的凸函数．推广了Pang在文献[5]中的算法，并证明了所给算法的全局收敛性．     

具有前瞻区间和不相容工件族的流水车间在线排序问题

研究对多台单位流水车间上具有前瞻区间的不相容工件族无界批处理的在线排序问题。通过组合优化的方法分类讨论得到问题的下界，对算法Am（β）进行了竞争比分析说明这是该问题最好可能的在线算法。给出了该问题的下界为1+η，其中η是方程(2f－1)η2+(f+β)η+β－f=0的一个正根，这里0≤β<1。同时提供了一个最好可能的在线算法Am（β）。通过竞争比分析说明了算法的可行性。     

用牛顿法求解凸集上的一类最佳插值问题

讨论一般的最佳插值问题(k≥3):min∫a^b|D^kf|^2dt,f满足插值条件f(ti)=yi,i=1,…,n和约束f^(k)≥0.该问题可转化为非线性方程组，从而用半光滑牛顿型算法求解，算法具超线性收敛性。然后给出一个由函数的k阶导数计算求得原函数的算法。算例显示了所有算法的有效性。     

组合映射零点存在的一个条件

利用连续同伦算法讨论具有形式F(x)=x f(x)的组合映射F:R~n→R~n的零点的计算,其中f是二阶连续可微映射,给出了F零点存在的一个条件,在此条件下,本文给出的算法是整体收敛的。     

一些简化的NP完全实例类

(k，s)-SAT是命题满足性问题限制在一种特殊的命题公式上，该命题公式具有每个子句只有k个不同的文字且每个变元出现的次数少于s次的特点。已经验明对于正整数k，s存在一个指数函数f，满足：对任意s≤f(后)，所有的(k，s)-SAT例都是可满足的，而(k,f(k)-SAT却是一个NP-完全问题。目前为止，只知道f(3)和f(4)的精确值．对于，是否可计算是一个仍未解决的问题．由于每个满足某种条件的数值序列对应一个MU(1)中的公式，在[2]中，作者S．Horry和S．Seizder通过对数值序列的运算来构造(k，s)-SAT中的MU(1)公式例，得到了函数厂的可计算上界函数。但当k比较大时，该方法不太实用。作者定义了一种树规则来减少数值计算的步数，得到了一个确定的实用的算法来计算函数f的上界，该上界接近[2]中的上界，同时，也得到了一些NP-完全满足性问题类。     

网格图的2-彩虹控制数

给定一个图G和正整数k,图的彩虹控制函数f是满足下列条件的映射f:V(G)→2{1,2,…,k},使得对某个顶点v满足f(v)=,则∪u∈N(v)f(u)={1,2,…,k},其中V(G)是图G的顶点集,N(v)表示所有与v相邻的顶点的集合.彩虹控制函数f的权定义为w(f)=∑v∈V(G)|f(v)|.图的k-彩虹控制数γrk(G)是所有彩虹控制函数的权中的最小权.研究了2-彩虹控制函数的启发式算法的网格图的构造方法,实验结果表明,基于禁忌搜索策略的模拟退火算法比传统的模拟退火算法具有较好的效果.     

用牛顿法求解凸集上的一类最佳插值问题

讨论一般的最佳插值问题(k≥3):min∫ba|Dkf|2dt,f满足插值条件f(ti)=yi,i=1,...,n和约束f(k)≥0.该问题可转化为非线性方程组,从而用半光滑牛顿型算法求解,算法具超线性收敛性.然后给出一个由函数的k阶导数计算求得原函数的算法.算例显示了所有算法的有效性.     

一个新的非单调自动确定信赖域半径的信赖域算法

将非单调线搜索技术与自动确定信赖域半径的方法相结合,提出了求解无约束优化问题的一个新的非单调自动确定信赖域半径的信赖域算法.在假设对任意x1∈Rn,水平集L(x1)={x|f(x)≤f(x1)}有界,且目标函数f(x)在水平集L(x1)上连续可微;矩阵序列{Bk}一致有界的条件下证明了本算法的全局收敛性.数值结果显示本算法是有效的.     

关于(g,f)一致图的有关结果

设G是一个图，若对于图G的任一条边e,都有图G的一个(g,f)-因子包含它而且有G的一个(g,f)-因子不包含它, 则称图G是一个(g,f)一致图. 研究了［m,n］- 图与(g,f)一致图的关系，并给出了一个图是f一致图的一个充分条件.     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with