求解非线性反问题的鲁棒同伦算法  

Robust homotopy method for solving nonlinear inverse problems

作　　者：周丹[1] 崔爱华 王宏德[1] 

机构地区：[1]鞍山科技大学理学院,辽宁鞍山114044 [2]丹东市职业技术学校,辽宁丹东118000

出　　处：《鞍山科技大学学报》2004年第6期420-423,共4页Journal of Anshan University of Science and Technology

摘　　要：基于同伦算法构造出求解非线性反问题的一种大范围收敛鲁棒算法,为改善求解的稳定性,提出了将同伦参数的选取与计算和观测结果之间的残差联系起来的方法,给出具体算法步骤.实际算例表明,本方法在一定程度上可抑制观测噪声,提高求解的准确性及迭代效率.Based on homotopy methods,a robust global convergence method was developed for solving nonlinear inverse problems.A way to select the homotopy parameter was put,associating with the residual betweem computational results and experimental quantities as to improve the iteration stability,and the concreat steps of computational means was given.Numerical examples show that this way can eliminate observed noises ,improve the accuracy and efficiency of computation.

关 键 词：参数识别 同伦算法 同伦参数 正则化 

分 类 号：O224[理学—运筹学与控制论]