肖兆兵,宋迎春,谢雪梅

• 1:中南大学地球科学与信息物理学院

摘要(Abstract)：

针对测量数据中带有区间约束先验信息和附加信息,基于Kuhn-Tucker条件,将测量平差问题转化为二次规划问题,该文提出了一种处理参数带有区间不确定性的新算法,给出了算法具体模型和解算步骤,并且通过模拟数值实验和病态测边网数据计算,分析了在处理病态问题时,最小二乘平差的局限性,通过与岭估计和奇异值分解法的结果相比较,说明了参数带有区间不确定性的平差算法的有效性。

关键词(KeyWords)： Kuhn-Tucker条件;参数区间不确定性;病态问题;岭估计;奇异值分解

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金项目(41574006,41674009)

作者(Author): 肖兆兵,宋迎春,谢雪梅

DOI: 10.16251/j.cnki.1009-2307.2018.05.017

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