测量中不适定问题的统一解的推导

摘要

病态问题和秩亏问题是测量中常见的不适定问题，从正则化矩阵和正则化参数入手对存在于测量中的控制网平差、大地测量反演、GPS快速定位、拟合推估系统误差处理等不适定问题进行处理，成为当前的研究热点。同时，经过统一解的建立，对秩亏问题病态性问题实行新的解法，改进了生产实践中的测量精度，具有一定的学术价值和商业价值。%Pathological and rank - defect problem are most commonly met in surveying. Starting from regular matrix and regular parameter, the study of control network adjustment, geodetic surveying inversion, GPS quick -positioning, fitting prediction error has become hot spot of research nowadays. In the meantime, through the establishment of unified solution, this paper applies new solution to rank - defect problems, improves surveying precision in the production practice, and is valuable commercially and academically.