- Binder , A. , Hanke , M. and Scherzer , O. On the Landweber iteration for nonlinear ill–posed problems . Journal of Inverse and III–Posed Problems ,
- Brakhage , H. 1987 . “ On ill–posed problems and the method of conjugate gradients ” . In Inverse and Ill–Posed Problems , Edited by: Groetsch , C.W. 177 – 185 . New York : Academic Press .
- Eicke , B. , Louis , A.K. and Plato , R. 1990 . The instability of some gradient methods for ill–posed problems . Number. Math. , 58 : 129 – 134 .
- Engl , H.W. 1993 . Regulation methods for the stable solution of inverse problems . Survey Math. Indust. , 3 : 71 – 143 .
- Engl , H.W. , Kunisch , K. and Neubauer , A. 1989 . Convergence rates for Tikhonov regularization of nonlinear ill–posed problems . Inverse Problems , 5 : 523 – 540 .
- Fletcher , R. 1980 . “ Practical Methods of Optimization ” . In Unconstraint Optimization , Vol. 1 , New York : John Wiley& Sons .
- Golub , G.H. and O'Leary , D.P. 1989 . Some history of the conjugate gradient method and Lanczos algorithms:1948–1976 . SIAM Review , 31 : 50 – 102 .
- Groetsch , C.W. 1995 . The Theory of Tikhonov Regularization of the First Kind , Boston : Pitman .
- Hanke , M. , Neubauer , A. and Scherzer , O. 1995 . A convergence analysis of Landweber iteration for nonlinear Ill–posed problems . Number. Math. , 72 : 21 – 37 .
- Jacobi , S.L.S. , Kowalik , J.S. and Pizzo , J.T. 1972 . “ Iterative Methods for Nonlinear Optimizaion Problems ” . New Jersey : Englewood Cliffs . Prentice–Hall
- Kammerer , W.J. and Nashed , M.Z. 1971 . Steepest descent for singular linear operators with nonclosed range . Applicable Analysis , 1 : 143 – 159 .
- Kammerer , W.J. and Nashed , M.Z. 1972 . On the convergence of the conjugate gradient method for singular linear operator equations . SIAM J. Nume. Anal. , 9 : 165 – 181 .
- King , J.T. 1989 . A minimal error conjugate gradient method for ill–posed problems . Journal of optimization Theory and Applications , 60 : 297 – 304 .
- Lardy , L.J. 1990 . A class of iterative methods of conjugate gradient type . Num. Funct. Anal. Opt , 11 : 283 – 302 .
- Louis , A.K. 1987 . “ Convergence of the conjugate gradient method for compact operators ” . In Inverse and Ill–Posed Problems , Edited by: Groetsch , C.W. 177 – 185 . New York : Academic Press .
- Louis A.K. Inverse und schlecht gestellte Probleme Tuebner Stuttgart 1989
- Neubauer , A. 1989 . Tikhonov regularization for non–linear ill–posed problems:optimal convergence rates and finite-dimentional approximation . Inverse Problems , 5 : 541 – 557 .
- Scherzer , O. , Engl , H.W. and Kunisch , K. 1993 . Optimal a-posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems . SIAM J. Numer. Anal. , 30 : 1796 – 1838 .
- Seidman , I.T. and Vogel , C.R. 1989 . Well posedness and convergence of some regularization methods for non-linear ill-posed problems . Inverse Problems , 5 : 227 – 238 .
Numerical Functional Analysis and Optimization
Volume 17, 1996 - Issue 1-2