| 基于QR分解的Ⅱ类病态性诊断 |
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| 引用本文： | 刘纪敏,卢秀山,曹学伟.基于QR分解的Ⅱ类病态性诊断[J].测绘科学,2011,36(4):92-94. |
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| 作者姓名： | 刘纪敏 卢秀山 曹学伟 |
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| 作者单位： | 1. 山东科技大学测绘科学与工程学院,山东青岛266510;山东科技大学信息工程系,山东泰安271021
2. 山东科技大学测绘科学与工程学院,山东青岛,266510 |
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| 摘 要： | 为了对现代测绘数据处理中参数估计系统的Ⅱ类病态性1]进行诊断,利用观测结构分析方法解决了观测有效性的分析问题.通过对观测矩阵的QR分解,将观测结构的分析过渡到对R矩阵的分析,提出了相对体积法,方法几何意义明确.算例表明,该方法能够准确度量参数估计系统的Ⅱ类病态性程度,是一种对Ⅱ类病态性进行定量诊断的新方法.
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| 关 键 词： | QR分解 观测结构 Ⅱ类病态性 观测有效性 相对体积法 |
Diagnosis of Ⅱ ill-conditioning based on QR decomposition |
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| LIU Ji-min,LU Xiu-shan,CAO Xue-wei.Diagnosis of Ⅱ ill-conditioning based on QR decomposition[J].Science of Surveying and Mapping,2011,36(4):92-94. |
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| Authors: | LIU Ji-min LU Xiu-shan CAO Xue-wei |
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| Institution: | ①(①Geomatics College,Shandong University of Science and Technology,Shandong Qingdao 266510,China;②Information Engineering Department,Shandong University of Science and Technology,Shandong Tai’an 271021,China) |
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| Abstract: | In order to diagnose the Ⅱill-conditioning1] of the parameter estimation system in the modern surveying and mapping data processing,the effectiveness of observation was analyzed using observation structure in the paper.Through the QR decomposition of observation matrix and transition of the analysis of the observation structure to the analysis of the R matrix,it proposed relative-volume method and explained its geometry.Examples showed that this method could accurately measure the Ⅱill-conditioning of parameter estimation system and would be a referential method for quantitative diagnosis of Ⅱill-conditioning. |
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| Keywords: | QR decomposition observation structure Ⅱill-conditioning effectiveness of observation relative-volume method |
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