测绘科学技术学报2011，Vol.28Issue(4)：241-244,249,5.DOI:10.3969/j.issn.1673-6338.2011.04.002
基于修正Gram-Schmidt算法的GPS基线向量网伪逆平差
Adjustment Method of GPS Base-Line Vectors Network Based on Improved Gram-Schmidt Arithmetic
摘要
Abstract
Least square solution of GPS network was obtained by triangulation decomposition on its normal e-quation coefficient matrix using improved Gram-Schmidt algorithm. The math formula and the calculation steps of solving generalized inverse matrix on improved Gram-Schmidt algorithm was deduced. Inverse matrix was not computed in the course of this procedure. The numerical value non-stability of Gram-Schmidt algorithm was carried out theoretically due to affecting of rounding error. Thereby non-uniqueness of equation-group with rank-defect coefficient matrix was solved.关键词
修正Gram-Schmidt算法/GPS基线向量网/广义逆/三角分解/伪逆平差Key words
improved Gram-Schmidt arithmetic/ GPS vectors network/ generalized inverse/ triangulation decomposition/ pseudo-inverse solution分类
天文与地球科学引用本文复制引用
罗三明,杨国华,黄曲红,王西宁..基于修正Gram-Schmidt算法的GPS基线向量网伪逆平差[J].测绘科学技术学报,2011,28(4):241-244,249,5.基金项目
地震行业科研专项重大基金资助项目(200908029) （200908029）
国家测绘局科技创新基金资助项目(2007-01) （2007-01）
中国地震局第一监测中心青年基金资助项目. （）
