CONVERGENCE OF TIKHONOV REGULARIZATION FOR CONSTRAINED ILL-POSED INVERSE PROBLEMS

被引:31
作者
CHAVENT, G
KUNISCH, K
机构
[1] UNIV PARIS 09,CEREMADE,F-75775 PARIS 16,FRANCE
[2] GRAZ TECH UNIV,INST MATH,A-8010 GRAZ,AUSTRIA
关键词
D O I
10.1088/0266-5611/10/1/006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper convergence and rate-of-convergence results for non-linear constrained ill-posed inverse problems formulated as regularized least-squares problems are given.
引用
收藏
页码:63 / 76
页数:14
相关论文
共 9 条
[1]  
AUBIN JP, 1984, ANAL NONLINEAIRE MOT
[2]  
BADEVA V, 1991, PROBLEMS INCORRECT P
[3]   CONVERGENCE-RATES FOR TIKHONOV REGULARISATION OF NON-LINEAR ILL-POSED PROBLEMS [J].
ENGL, HW ;
KUNISCH, K ;
NEUBAUER, A .
INVERSE PROBLEMS, 1989, 5 (04) :523-540
[4]  
Groetsch C. W., 1984, THEORY TIKHONOV REGU
[5]   1ST AND 2ND-ORDER NECESSARY AND SUFFICIENT OPTIMALITY CONDITIONS FOR INFINITE-DIMENSIONAL PROGRAMMING-PROBLEMS [J].
MAURER, H ;
ZOWE, J .
MATHEMATICAL PROGRAMMING, 1979, 16 (01) :98-110
[7]  
NEUBAUER A, 1987, MATH COMPUT, V48, P565, DOI 10.1090/S0025-5718-1987-0878691-2
[9]  
NEUBAUER A, 1986, VERLAG WISSENSCHAFTL