| 普通克立格方法的奇异性问题研究 |
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| 引用本文： | 张培德,罗晓春.普通克立格方法的奇异性问题研究[J].物探化探计算技术,2011,33(5):572-576,466. |
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| 作者姓名： | 张培德 罗晓春 |
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| 作者单位： | 1. 成都理工大学信息管理学院,四川成都,610059
2. 221 Trinidad, Dollard - Des - Ormeaux, Quebec Canada H9G 2X3 |
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| 摘 要： | 普通克立格方法是一种广泛应用于各种地质领域的线性插值方法。在普通克立格方法实际应用中，有时会出现方程无解的问题，而这些问题的出现往往与协方差函数的选取以及取样点的空间分布有关。这里通过对协方差函数的严格正定性分析，以及对取样点的空间分布对协方差阵奇异性的影响分析，试图拓展对普通克立格方法奇异性分析的各种思路，从而让人们在普通克立格方法的实际应用中找到奇异性无解的原因，有意识地避免可能发生的奇异性无解问题。
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| 关 键 词： | 普通克立格方法 协方差函数 奇异性 严格正定 时空域 取样点空间分布 |
STUDY ON THE SINGULARITY PROBLEMS OF COMMON KRIGING |
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| ZHANG Pei-de,LUO Xiao-chun.STUDY ON THE SINGULARITY PROBLEMS OF COMMON KRIGING[J].Computing Techniques For Geophysical and Geochemical Exploration,2011,33(5):572-576,466. |
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| Authors: | ZHANG Pei-de LUO Xiao-chun |
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| Institution: | ZHANG Pei-de1,LUO Xiao-chun2(1.College of Information and Management,Chengdu University of Technology,Chengdu 610059,China,2.Macromaples Inc,221 Trinidad,Dollard-Des-Ormeaux,Quebec,Canada H9G 2X3) |
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| Abstract: | Common kriging is one of linear interpolation methods widely used in various geo-science applications.Some times there might be a no-solution problem in its application,and the reason is mostly related to both the selection of covariance functions and the distribution of the sampling locations.Through the analysis of strict positive definite property of covariance function as well as the analysis of the distribution of sampling locations resulted in the singularity of the covariance matrix,this paper explor... |
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| Keywords: | common kriging covariance functions singularity strictly positive definite space-time field distribution of sampling locations |
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