GNSS水汽层析的约束条件方程变权代数重构算法     

王昊  丁楠  张文渊  冯遵德 《大地测量与地球动力学》2022,42(8):857-862

基于传统代数重构算法（algebraic reconstruction technique, ART）提出一种约束条件方程变权的代数重构算法(variable weight algebraic reconstruction technique, VWART),利用2019-08香港地区CORS网GNSS观测数据进行实验,选用京士柏探空气象站探空数据进行验证分析。结果表明,相比于传统代数重构算法,变权代数重构算法的精度、稳定性和可靠性均有所提高。以探空数据为例,其RMSE降低20.334%;在不同程度降水条件下,变权代数重构算法反演的垂直水汽廓线分布均优于传统代数重构算法。  相似文献   

水汽层析代数重构算法   总被引：1，自引：0，他引：1  

何林  柳林涛  苏晓庆  许超钤  段鹏硕 《测绘学报》2015,44(1):32-38

讨论了代数重构算法在水汽层析应用中的各种问题,包括约束条件的构造、层析初值的选择、松弛因子的计算、终止条件的确定等,给出了计算最优松弛因子的黄金分割搜索法和确定终止条件的NCP规则,对比分析了Kaczmarz、Randkaczmarz、Symkaczmarz、SART、Landweber、Cimmino、CAV、DROP等8种常见的代数重构算法,并以香港SatRef的观测数据进行了试验。试验结果表明,以上8种代数重构技术都能够满足水汽层析的要求;迭代终止条件比松弛因子更为重要;采用文中计算最优松弛因子的黄金分割搜索法和NCP迭代终止条件,CAV算法结果最优,其次为Cimmino算法。  相似文献   

Efficient block preconditioners for the coupled equations of pressure and deformation in highly discontinuous media     

Joachim Berdal Haga  Harald Osnes  Hans Petter Langtangen 《国际地质力学数值与分析法杂志》2011,35(13):1466-1482

Large‐scale simulations of flow in deformable porous media require efficient iterative methods for solving the involved systems of linear algebraic equations. Construction of efficient iterative methods is particularly challenging in problems with large jumps in material properties, which is often the case in geological applications, such as basin evolution at regional scales. The success of iterative methods for this type of problems depends strongly on finding effective preconditioners. This paper investigates how the block‐structured matrix system arising from single‐phase flow in elastic porous media should be preconditioned, in particular for highly discontinuous permeability and significant jumps in elastic properties. The most promising preconditioner combines algebraic multigrid with a Schur complement‐based exact block decomposition. The paper compares numerous block preconditioners with the aim of providing guidelines on how to formulate efficient preconditioners. Copyright © 2010 John Wiley & Sons, Ltd.  相似文献   

The Parabolic Three-Body Problem     

C. Beaugé 《Celestial Mechanics and Dynamical Astronomy》2004,88(1):51-68

In this communication we present an analytical model for the restricted three-body problem, in the case where the perturber is in a parabolic orbit with respect to the central mass. The equations of motion are derived explicitly using the so-called Global Expansion of the disturbing function, and are valid for any eccentricity of the massless body, as well as in the case where both secondary masses have crossing orbits. Integrating the equations of motion over the complete passage of the perturber through the system, we are then able to construct a first-order algebraic mapping for the change in semimajor axis, eccentricity and inclination of the perturbed body.Comparisons with numerical solutions of the exact equations show that the map yields precise results, as long as the minimum distance between both bodies is not too small. Finally, we discuss several possible applications of this model, including the evolution of asteroidal satellites due to background bodies, and simulations of passing stars on extra-solar planets.  相似文献   

利用GCV优化的正则化方法对硬X射线望远镜图象重建研究     

孟莉  岩间尚文 《CT理论与应用研究》1998,7(3):7-11

图象重建是一个求逆过程具有不适定性。本文介绍的是一种从少数投影数据进行图象重建的线性代数法－Ｐｈｉｌｌｉｐｓ－Ｔｉｋｈｏｎｏｖ正则化方法,同时选择优化工具ＧＣＶ确定最优的正则参数。为验证该方法,我们对日本Ｙｏｈｋｏｈ卫星上塔载的硬Ｘ射线望远镜（ＨＸＴ）拍摄的太阳图象进行重建。  相似文献   

代数系的FUZZY理想(英文)     

刘文斌 《中国海洋大学学报(自然科学版)》1991,(1)

作者曾给出了模糊代数系的统一定义和一个代数系上的模糊子集是模糊子代数的充要条件。本文是以上结果的继续,给出了一个模糊子代数系是模糊理想的统一定义和充要条件,是诸文献上模糊正规子群,环的模糊理想等概念的统一和推广。  相似文献   

变质反应的代数识别方法     

吴春明  张志国 《世界地质》1996,15(2):25-34

在回顾变质矿物共生组合和变质反应图解分析法的基础上，论述了录求变质矿物组合之间、同一组合内矿物之间的平衡变质反应的代数方法，即矩阵高斯变换，线性回归分析、矩阵奇值分解。  相似文献   

裂隙岩体中的对流扩散研究     

陈尤雯  莫海鸿 《岩土力学》1997,18(3):47-52

揭示一个基于代数拓扑理论的裂隙网络中物质弥散模型，还给出了应用于网络中的对流扩散的对应性原理的证明。应用拓扑理论给出的框架，使其起了一个数据结构的组织者的作用，由此得到网络中每一个分支上的浓度的解。这个解是在拉普拉斯空间上的解析解。网络中任意点在任何时刻的浓度可以很方便地用数值拉氏反变换求出。  相似文献   

Multi-stage pseudomorphic replacement of garnet during polymetamorphism: 2. Algebraic analysis of mineral assemblages   总被引：1，自引：0，他引：1  

Cesare 《Journal of Metamorphic Geology》1999,17(6):735-746

Chemical relationships among four metapelites have been studied by investigation of mineral and bulk chemistry data and by singular value decomposition analysis of single and composite assemblage matrices. Bulk rock compositions cluster close together in an AFM diagram, all within the intersection space defined by the four sample assemblages. The similarity of bulk compositions normalized on a silica-free, anhydrous basis indicates that sample chemistries differ mainly as a result of inhomogeneous distribution of quartz layers. The existence of mass balance relationships among samples indicates that assemblages also overlap in the Si–Ti–Al–Fe–Mg–Mn–Ca–Na–K multisystem. Analysis of single and composite matrices helps in defining possible mass balances linking sample mineral facies to one another during progressive contact metamorphism. The assemblage in sample A can form as the result of the model reaction 5.000  Ky+0.269 Grt+0.965 Bt+0.314 Pl=0.049 Ilm+1.115 Ms+0.849 Chl+0.306 St and react to assemblage B via reaction 0.97 Chl+0.52 Grt+0.66 Ms+0.14 Ilm+1.26  Ky=0.42 St+0.63 Bt+0.22 Pl coupled with the Ky→And transition. Assemblage B can transform into C by initial progress of Ky+Ilm+Chl+Grt+Ms=And+St+Bt+Pl followed by 0.142 Ilm+0.175 St+1.089 Chl+1.533 Ms+0.003 Grt=5.000 And+1.266 Bt+0.551 Pl Matrix analysis cannot satisfactorily model the C–D transition, because it predicts a net production of staurolite, which is in disagreement with petrographic evidence. All mass balances in the C–D composite matrix indicate net consumption of muscovite; this is integrated with the contrasting evidence of prograde pseudomorphs of muscovite after staurolite, observed in the nodules of sample D, within a model involving the progress of ionic reaction cycles.  相似文献   

An algebraic solution of maximum likelihood function in case of Gaussian mixture distribution     

J. L. Awange  B. Palancz  R. Lewis  T. Lovas  B. Heck  Y. Fukuda 《Australian Journal of Earth Sciences》2016,63(2):193-203

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