共查询到20条相似文献，搜索用时 51 毫秒
1.
讨论用正定矩阵三角分解法解线性对称方程组的问题,将具有正定系数阵的线性方程组中的正定矩阵分解为两个互为转置的上、下三角阵之积,用比较法导出三角阵诸元素与原矩阵诸元素之间的关系式,再将分解式代入原方程,从而导出用三角分解法解线性对称方程组的计算公式,此法计算规律中,既适用于手算又适用于电算,可在测量平差等科学计算中广泛应用。 相似文献
2.
讨论用正定矩阵三角分解法解线性对称方程组的问题,将具有正定系数阵的线性方程组中的正定矩阵分解为两个互为转置的上、下三角阵之积,用比较法导出下三角阵诸元素与原矩阵诸元素之间的关系式,再将分解式代入原方程,从而导出用三角分解法解线性对称方程组的计算公式,此法计算规律性强,既适用于手算又适用于电算,可在测量平差等科学计算中广泛应用。 相似文献
3.
研究对称矩阵原位替换解算方法,包括矩阵行列式、矩阵方程未知数和矩阵逆阵的解算.利用矩阵三角分解原理和矩阵运算的基本法则导出矩阵元素约化值的计算公式,从而进一步导出利用矩阵元素约化值计算矩阵行列式、矩阵方程未知数和矩阵逆阵元素的原位替换解算公式.解算公式用纯量形式表示,有利于编程计算,且可实现按矩阵元素在矩阵中的存储位置原位替换解算.该解算方法可节省所用内存空间和时间,提高科学计算的效率. 相似文献
4.
5.
大型稀疏法方程组的非零结构分解 总被引：1，自引：1，他引：1
针对大型法方程和误差方程解算问题，导出了稀疏对称正定矩阵基于Cholesky分解的非零结构，可以预先确定下三角矩阵中非零元素的位置和个数，从而可预先分配其存储空间。对其后的数值计算，只需按照已安排好的非零元素的位置进行计算，即可得到数值解。 相似文献
6.
正定矩阵一维三角分解法及其应用 总被引：6，自引：1，他引：5
由文献［１］知,正定矩阵三角分解后,下三角阵中各元素在阵中的位置具有一定的分布规律,为此可将矩阵中用二维形式表示的诸元素利用位置函数表示为一维形式,文献［１］中所有利用下三角阵各元素进行计算的公式也都可表示为一维形式,使程序设计简单易行。 相似文献
7.
针对大型法方程和误差方程解算问题,导出了稀疏对称正定矩阵基于Cholesky 分解的非零结构,可以预先确定下三角矩阵中非零元素的位置和个数,从而可预先分配其存储空间.对其后的数值计算,只需按照已安排好的非零元素的位置进行计算,即可得到数值解. 相似文献
8.
直接从条件方程或误差方程系数阵入手,利用修正的Gram-Schmidt正交化过程对系数阵进行三角分解,实现最小二乘求解,导出了基于修正的Gram-Schmidt正交化过程求解系数阵广义逆的数学公式和计算步骤,给出了通过广义逆表示的未知数解向量及其协因数阵的数学表达式。计算过程不仅避免了对矩阵的求逆,并从理论上解决了Gram-Schmidt正交化方法由于舍入误差的影响表现出的数值不稳定性问题,从而很好地解决了具有秩亏系数阵方程组解的不唯一性。算例结果表明,基于修正的Gram-Schmidt正交化方法可以处理包括秩亏阵在内的任意矩阵;在处理不设起算数据的变形监测网观测数据时,能够方便地获得其经典解、伪逆解或拟稳解,而不需要重复计算。 相似文献
9.
大型稀疏正定法方法非零动态存储三角分解法 总被引：2，自引：0，他引：2
本文针对具有正定性质的大型稀疏法方法,提出了大型烯疏正定法方程的非零动态存储三角分解法,动用复式链表来动态存储稀疏矩阵。这种解法规律性强,简单直观,更易于计算机上实现,很好的解决了大型稀疏法方程所遇到的困难,极大提高了数据处理的效率。 相似文献
10.
直接从GPS基线向量法方程系数阵入手,利用修正的Gram-Schmidt算法对法方程系数阵进行三角分解实现最小二乘求解,导出了基于修正的Gram-Schmidt算法求解法方程系数阵广义逆的数学公式和计算步骤,给出了通过广义逆表示的未知数解向量及其协因数阵的数学表达式.计算过程不仅避免了对矩阵的求逆,并从理论上解决了Gr... 相似文献
11.
采用Landsat TM数据分析了阿克苏河—塔里木河断面水质污染状况,通过波段的DN值和常规监测数据建立能反映水质状况的
污染物监测模型。结果发现,将2000年常规监测数据代入模型后,与遥感数据的结果基本吻合| 重建阿克苏河—塔里木河的连续水体
污染变化曲线,得出污染物浓度随着远离上游而增加。 相似文献
12.
Monitoring drought dynamics in the Aravalli region (India) using different indices based on ground and remote sensing data 总被引：5，自引：0，他引：5
C. Bhuiyan R.P. Singh F.N. Kogan 《International Journal of Applied Earth Observation and Geoinformation》2006,8(4):289-302
The hard-rock hilly Aravalli terrain of Rajasthan province of India suffers with frequent drought due to poor and delayed monsoon, abnormally high summer-temperature and insufficient water resources. In the present study, detailed analysis of meteorological and hydrological data of the Aravalli region has been carried out for the years 1984–2003. Standardised Precipitation Index (SPI) has been used to quantify the precipitation deficit. Standardised Water-Level Index (SWI) has been developed to assess ground-water recharge-deficit. Vegetative drought indices like Vegetation Condition Index (VCI) and Temperature Condition Index (TCI) and Vegetation Health Index (VHI) have been computed using NDVI values obtained from Global Vegetation Index (GVI) and thermal channel data of NOAA AVHRR satellite. Detailed analyses of spatial and temporal drought dynamics during monsoon and non-monsoon seasons have been carried out through drought index maps generated in Geographic Information Systems (GIS) environment. Analysis and interpretation of these maps reveal that negative SPI anomalies not always correspond to drought. In the Aravalli region, aquifer-stress shifts its position time to time, and in certain pockets it is more frequent. In comparison to hydrological stress, vegetative stress in the Aravalli region is found to be slower to begin but quicker to withdraw. 相似文献
13.
Piyoosh Rautela Ramesh Chandra Lakhera 《International Journal of Applied Earth Observation and Geoinformation》2000,2(3-4)
The area around Sataun in the Sirmur district of Himachal Pradesh, India (falling between the rivers Giri and Tons; both tributaries of the Yamuna River) was studied for landslide vulnerability on behalf of the inhabitants. The study was made using extensive remote sensing data (satellite and airborne). It is well supported by field evidence, demographic and infrastructural details and aided by Geographic Information System (GIS) based techniques. Field observations testify that slope, aspect, geology, tectonic planes, drainage, and land use all influence landslides in the region. These parameters were taken into consideration using the statistical approach of landslide hazard zonation. Using the census data of 1991, vulnerability of the populace to the landslide hazard was accessed. As most of the infrastructure in the region is concentrated around population centres, population data alone was used for vulnerability studies. 相似文献
14.
ZHAN F. Benjamin 《地球空间信息科学学报》2011,(1)
Although it is well known that coseismic gravity changes take place during an earthquake, previous research has not yielded convincing evidence demonstrating that significant gravity changes occur before large earthquakes. Furthermore, even if we suspect that gravity changes occur before large earthquakes, we have yet to demonstrate how to consistently observe these changes for useful earthquake forecast that would bring benefits to society. We analyzed ground gravity survey data obtained in 1998, 2000, 200... 相似文献
15.
GNSS系统及其技术的发展研究 总被引：3，自引：1，他引：2
阐述了国际上卫星导航系统的总体发展,对美、俄、欧、中的四大全球系统,以及相关的区域系统和增强系统进行了简单的介绍,研究分析了GNSS系统及其技术的发展趋势,同时分析了我国Compass全球系统面临的机遇和挑战,并提出了我国未来工作的建议. 相似文献
16.
“4D”技术及其应用 总被引：13，自引：0，他引：13
介绍“４Ｄ”（即数字地面模型、数字正射影像、数字栅格地图和数字线划地图）系列产品的生产流程、关键技术、及其在耕地保护、防灾减灾救灾和城市规划等方面的应用方法。 相似文献
17.
《International Journal of Digital Earth》2013,6(1):66-87
Abstract Virtual Australia is not a well-defined or agreed concept. This discussion paper conceptualises Virtual Australia as a ‘virtual [digital] model containing and representing all non-trivial objects and their contextual environment – from blue sky to bedrock – in real world Australia’. It describes a scenario for Virtual Australia, one or two decades from now, in which the locations and conditions of non-trivial objects and their environment are updated automatically through a combination of remote sensing and wireless communication technologies in support of a ‘Supranet’. It then examines the concept of the ‘Supranet’ – a pervasive information network based largely on wireless technology linking the physical world to a virtual model in real time – and develops and discusses three principal characteristics of the Supranet: the ability to have or collect specific information (know); the ability to process information (think); and the ability to communicate that information. If, in the near future, any or all non-trivial devices are to some extent able to know, think and communicate, the potential for object autonomy will be realised. 相似文献
18.
Toward seamless indoor-outdoor applications: Developing stakeholder-oriented location-based services
Kohei OGAWA Edward VERBREE Sisi ZLATANOVA Naohiko KOHTAKE Yoshiaki OHKAMI 《地球空间信息科学学报》2011,14(2):109-118
Location-Based Services (LBS),an emerging new business based on smartphone and mobile networks,are becoming more and more popular.Most of these LBSs,however,only offer non-seamless indoor/outdoor applications and simple applications without giving stakeholders the chance to play an active role.Our specific aim is to solve these issues.This paper presents concepts to solve these issues by expanding the Open Location Services Interface Standard (OpenLS) to allow seamless indoor/outdoor positioning and to extend the content of the services to include information recommended by stakeholders. 相似文献
19.
地理数据库的关系模型及其实现 总被引：1，自引：0，他引：1
本文从以图论观点分析地理实体入手,系统阐述了地理数据库关系模型的设计法和过程。作者于1984年4～9月间在微型机上设计建立了关系型地理数据库的实方验系统(RGDB)。该系统采用了本文提出的关系模型,采用了可动态扩库的子库组合结构,这种结构具有灵活性和提高空间利用率的优点。RGDB含有多种功能的数据操作命令,除了具有一般检索功能外,还能进行“开窗”选取和十分“自由”的映象选取。本文对RGDB系统的主要性能和实现途径作了扼要介绍。 相似文献