相容矩阵方程AXB＝D的极小范数解及其稳定性

给出了相容矩阵方程ＡＸＢ＝Ｄ的极小范数解的结构，并在Ａ＝Ａ＋δＡ，Ｂ＝Ｂ＋δＢ，Ｄ＝Ｄ＋δＤ的扰动下分析了矩阵方程ＡＸＢ＝Ｄ极小范数解的稳定性．     

球面Sn+p中奇数维极小子流形的Ricci曲率

设Mn 是单位球面Sn p的n维紧致极小子流形 ,给出了球面Sn p中奇数维紧致极小子流形的Ricci曲率的一个Pinching定理 .证明了如果Ric(Mn) >n - 2 - 1n - 1,n 5 ,则Mn 是全测地的 .改进了N .Ejiri (MathSocJapan ,1979,31:2 5 1～ 2 5 6 .)的Pinching常数     

微创手术治疗腰椎间盘突出症156例临床观察与护理探讨

目的:探讨156例用微创手术治疗腰椎间盘突出症病人的护理方法及康复锻炼的方法及经验。方法:2000年5月至2004年5月,对不同类型的腰椎间盘突出症患者,采用微创手术治疗腰椎间盘突出症156例,效果显著。结果:本文通过临床观察与护理,随访1-13mo,平均6.8mo,按NaKai标准评定:优102例,良38例,可19例,差3例,均无复发。结论:腰椎间盘镜微创手术系统综合了开放式手术和微创手术的优势,对治疗腰椎间盘突出症,具有手术创伤轻,保持脊柱的完整性,而且出血少,卧床时间短,恢复快,治疗彻底的特点。同时为患者实施全面的整体护理、健康指导、及早期功能锻炼,是腰椎间盘突出术后病人早期康复的关键。     

基于图像信息相关性的质量评价方法

图像质量评价是图像工程的重要内容之一,在图像通信过程中起着举足轻重的作用。评价方法一般来说可分为客观质量评价方法和主观评价方法。文中分析了传统的MSE和MOS图像质量评价方法及其一些缺点,在分析图像信息和相关性理论基础之上,通过对基于结构失真的图像质量评价方法的深入分析,提出了一种对结构失真评价方法进行改进的图像质量评价方法,实验证明所提出的改进方法与人的主观视觉质量具有一致性。     

半相依回归系统参数的c-k型改进估计

针对设计矩阵Xi呈病态时的半相依线性回归系统,提出了系统参数iβ的一种c-k型改进估计,并证明了这种估计在均方误差意义下的若干优良性质.     

Prediction from the One‐Way Error Components Model with AR(1) Disturbances

In this paper we extend the works of Baillie and Baltagi (1999, in Analysis of Panels and Limited Dependent Variables Models, Hsiao C et al. (eds). Cambridge University Press: Cambridge, UK; 255–267) and generalize certain results from the Baltagi and Li (1992, Journal of Forecasting 11 : 561–567) paper accounting for AR(1) errors in the disturbance term. In particular, we derive six predictors for the one‐way error components model, as well as their associated asymptotic mean squared error of multi‐step prediction in the presence of AR(1) errors in the disturbance term. In addition, we also provide both theoretical and simulation evidence as to the relative efficiency of our alternative predictors. The adequacy of the prediction AMSE formula is also investigated by the use of Monte Carlo methods and indicates that the ordinary optimal predictor performs well for various accuracy criteria. Copyright © 2011 John Wiley & Sons, Ltd.     

Testing for the usefulness of forecasts

Ashley (Journal of Forecasting 1983; 2 (3): 211–223) proposes a criterion (known as Ashley's index) to judge whether the external macroeconomic variables are well forecast to serve as explanatory variables in forecasting models, which is crucial for policy makers. In this article, we try to extend Ashley's work by providing three testing procedures, including a ratio‐based test, a difference‐based test, and the Bayesian approach. The Bayesian approach has the advantage of allowing the flexibility of adapting all possible information content within a decision‐making environment such as the change of variable's definition due to the evolving system of national accounts. We demonstrate the proposed methods by applying six macroeconomic forecasts in the Survey of Professional Forecasters. Researchers or practitioners can thus formally test whether the external information is helpful. Copyright © 2010 John Wiley & Sons, Ltd.     

一种求解Riccati代数方程的新方法——矩阵符号函数法

本文提出一种用矩阵符号函数求解Riccati代数方程的新方法,导出了一个改进迭代格式,文中提出的计算矩阵符号函数的三阶收敛迭代格式,可进一步提高收敛速度。     

Banach空间中微分方程的单调迭代技巧与上、下解方法

本文研究了 Banach 空间 E 中一阶微分方程的初值问题,建立了两条定理,即文中的定理2.1与定理3.1。定理2.1给出了一个比较结果。定理3.1讨论了如何用单调技巧构造单调一致收敛到方程的最小与最大解序列。参考文献[1]中的结果是本定理的一个特例.     

线性变换的极限性质

本文讨论了单峰线性变换的迭代规律，将文献[1]中在实数域上提出的有关定理扩展到了复数域，并对这类变换的主值做了一些刻划。