一致凸Banach空间中渐近非扩张映射的收敛定理     

柏传志 《南京气象学院学报》2003,26(2):281-284

在一致凸Banach(巴拿赫)空间中研究了渐近非扩张映射的带误差的Ishikawa迭代序列的收敛性。结果推广了原来的定理。  相似文献   

线性约束严凸可分规划的对偶梯度法     

朱建青 《测绘学院学报》1993,(4)

在[1]及[2]中考虑了原目标函数是强凸的情形,本文考虑更一般的情形,即原目标函数是严凸的,给出了其求解的对偶梯度法;对偶问题可分解成n个一维问题,而一维问题的解可直接得到,从而得到原问题的解,并证明了算法的收敛性。  相似文献   

一种面向地理信息系统的空间索引方法   总被引：17，自引：0，他引：17  

史文中  郭薇  彭奕彰 《测绘学报》2001,30(2):156-161

空间检索技术是有交地管理和操纵空间数据的一种必要手段，本文分析了目前常用的空间检索方法在地理信息系统应用上的局限性，指出了一种基于凸多边形的空间索引技术，本文首衔介绍了目前常用的几类空间索引技术及其特点，接着讨论卫面向地理信息的空间索引技术面临的基本问题，提出了基于凸多边形的空间索引结构－CP－树，并侧重分析了其空间运算算法及时空效率，最后指出了空间索引技术所存在的问题及下一步的研究方向。  相似文献   

Histogram and scattergram smoothing using convex quadratic programming   总被引：1，自引：0，他引：1  

Wenlong Xu  André G. Journel 《Mathematical Geology》1995,27(1):83-103

An algorithm, based on convex quadratic programming, is proposed to smooth sample histograms. The resulting smoothed histogram remains close to the original histogram and honors target mean and variance. The algorithm is extended to smooth sample scattergrams. The resulting smoothed scattergram remains close to the original scattergram shape and the two previously smoothed marginal distributions and honors the target correlation coefficient.  相似文献   

凸度量空间中渐近拟非扩张映象的Ishikawa型迭代序列的收敛性     

陈孝春  叶明富 《成都信息工程学院学报》2004,19(4):584-587

给出了凸度量空间中渐近拟非扩张映象的Ishikawa型迭代序列收敛于不动点的充要条件,所得结果推广、改进和包含了刘启厚[1]等人的最新成果.  相似文献   

基于LiDAR点云数据的树冠空隙度指数分析     

郑莎莎  董品亮  王成  习晓环  吕毅斌 《国土资源遥感》2014,(4)

分形维数法是分析空间结构分布的一种典型方法,但它对于区分不同的分布形式还存在缺陷。针对这一问题,该文介绍了空隙度指数的定义和树冠空隙度的计算方法;以模拟的树冠点云数据为对象,提出了一种基于三维凸包和三维滑动盒算法的激光雷达(Li DAR)点云数据空隙度分析方法,详尽分析了不同冠型产生的空隙度指数差异;并利用4棵实测的树冠点云数据做检验;最后阐述了空隙度指数在树冠空间异质性分析研究中的作用,并对其应用范围和前景作了展望。结果表明:划分尺度相同时,在一定的尺度范围内,锥型树冠、半球型和半椭球型树冠的差别可以通过空隙度指数曲线有效地区分,实测树冠的结果也体现了空隙度指数对于判断树冠空间结构的有效性。  相似文献   

凸度量空间中渐近拟非扩张映象新的带误差的Ishikawa迭代逼近     

曾永琴  彭勇 《成都信息工程学院学报》2006,21(5):739-741

在凸度量空间中，利用新的解析法，征明了由集合序列{On}产生的在多值渐近拟非扩张映象下的新的带误差的lshikawa迭代序列的收敛性。  相似文献   

Stress–dilatancy based modelling of granular materials and extensions to soils with crushable grains     

Antonio DeSimone  Claudio Tamagnini 《国际地质力学数值与分析法杂志》2005,29(1):73-101

Stress–dilatancy relations have played a crucial role in the understanding of the mechanical behaviour of soils and in the development of realistic constitutive models for their response. Recent investigations on the mechanical behaviour of materials with crushable grains have called into question the validity of classical relations such as those used in critical state soil mechanics. In this paper, a method to construct thermodynamically consistent (isotropic, three‐invariant) elasto‐plastic models based on a given stress–dilatancy relation is discussed. Extensions to cover the case of granular materials with crushable grains are also presented, based on the interpretation of some classical model parameters (e.g. the stress ratio at critical state) as internal variables that evolve according to suitable hardening laws. Copyright © 2004 John Wiley & Sons, Ltd.  相似文献   

实解析函数在极值点附近的凹凸性     

孙刘平  周展宏 《广东海洋大学学报》2006,26(3):64-67

讨论了一类实解析函数在极小（大）值点附近存在凸（凹）性区间的条件，得到了如下主要结果：若非常值函数y=f（x）在x0处取得极小（大）值，且在x0的某一邻域G内实解析的。则存在x0的一小邻域G^＊包含G，使得原函数在G^＊上为凸（凹）的。  相似文献   

Quantifying groundwater sensitivity and resilience over peninsular India     

Nikhil Kumar  Jhilam Sinha  Chandra A. Madramootoo  Manish Kumar Goyal 《水文研究》2020,34(26):5327-5339

Groundwater in India plays an important role to support livelihoods and maintain ecosystems and the present rate of depletion of groundwater resources poses a serious threat to water security. Yet, the sensitivity of the hydrological processes governing groundwater recharge to climate variability remains unclear in the region. Here we assess the groundwater sensitivity (precipitation–recharge relationship) and its potential resilience towards climatic variability over peninsular India using a conceptual water balance model and a convex model, respectively in 54 catchments over peninsular India. Based on the model performance using a comprehensive approach (Nash Sutcliffe Efficiency [NSE], bias and variability), 24 out of 54 catchments are selected for assessment of groundwater sensitivity and its resilience. Further, a systematic approach is used to understand the changes in resilience on a temporal scale based upon the convex model and principle of critical slowing down theory. The results of the study indicate that the catchments with higher mean groundwater sensitivity (GWS) encompass high variability in GWS over the period (1988–2011), thus indicating the associated vulnerability towards hydroclimatic disturbances. Moreover, it was found that the catchments pertaining to a lower magnitude of mean resilience index incorporates a high variability in resilience index over the period (1993–2007), clearly illustrating the inherent vulnerability of these catchments. The resilience of groundwater towards climatic variability and hydroclimatic disturbances that is revealed by groundwater sensitivity is essential to understand the future impacts of changing climate on groundwater and can further facilitate effective adaptation strategies.  相似文献