Citation: | YOU Wei, FAN Dongming. Nonlinear Least Squares Adjustment Based on Improved Homotopy Algorithm[J]. Journal of Southwest Jiaotong University, 2009, 22(2): 181-185. |
王则柯,高堂安.同伦方法引论[M].重庆:重庆出版社,1990:84-104.[2] 黄象鼎,曾钟钢,马亚南.非线性数值分析的理论与方法[M].武汉:武汉大学出版社,2004:117-158.[3] 陶本藻,张勤.GPS非线性数据处理的同伦最小二乘模型[J].武汉大学学报:信息科学版,2003,28(特刊):115-117.TAO Benzao,ZHANG Qin.Homotopy least squares model of GPS nonlinear data processing[J].Geomatics and Information Science of Wuhan University,2003,28(Special Issue):115-117.[4] 张勤,陶本藻.基于同伦法的非线性最小二乘平差统一模型[J].武汉大学学报:信息科学版,2004,29(8):708-710.ZHANG Qin,TAO Benzao.Uniform model of nonlinear least squares adjustment based on homotopy method[J].Geomatics and Information Science of Wuhan University,2004,29(8):708-710.[5] HANI I S,MOHAMAD A S.Finding special points using matrix-free predictor-corrector methods[J].Applied Mathematics and Computation,2007,185(2):554-563.[6] CHOI S H,HARNEY D A,BOOK N L.A robust path tracking algorithm for homotopy continuation[J].Computers and Chemical Engineering,1996,20(6-7):647-655.[7] RHEINBOLDT W C.Numerical continuation methods:A perspective[J].Applied Mathematics and Computation,2000,124(2):229-224.[8] EURENE L A,KURT G.Numerical continuation methods[M].Heidelberg:Springer-Verlag,1990:25-68.[9] 李庆扬,关治,白峰杉.数值计算原理[M].北京:清华大学出版社,2000:275-281.[10] 武汉大学测绘学院测量平差学科组.误差理论与测量平差[M].武汉:武汉大学出版社,2003:131-136.[11] 赵瑞安,吴芳.非线性最优化理论和方法[M].浙江:浙江科学技术出版社,1992:1-12.[12] 王新洲.非线性模型参数估计理论与应用[M].武汉:武汉大学出版社,2002:51-81.
|