@article{KirscheBoeckmann2006,
  author    = {Kirsche, Andreas and B{\"o}ckmann, Christine},
  title     = {Pade iteration method for regularization},
  series = {Applied mathematics and computation},
  volume    = {180},
  journal   = {Applied mathematics and computation},
  number    = {2},
  publisher = {Elsevier},
  address   = {New York},
  issn      = {0096-3003},
  doi       = {10.1016/j.amc.2006.01.011},
  pages     = {648 -- 663},
  year      = {2006},
  abstract  = {In this study we present iterative regularization methods using rational approximations, in particular, Pade approximants, which work well for ill-posed problems. We prove that the (k,j)-Pade method is a convergent and order optimal iterative regularization method in using the discrepancy principle of Morozov. Furthermore, we present a hybrid Pade method, compare it with other well-known methods and found that it is faster than the Landweber method. It is worth mentioning that this study is a completion of the paper [A. Kirsche, C. Bockmann, Rational approximations for ill-conditioned equation systems, Appl. Math. Comput. 171 (2005) 385-397] where this method was treated to solve ill-conditioned equation systems. (c) 2006 Elsevier Inc. All rights reserved.},
  language  = {en}
}
@article{BoeckmannKirsche2006,
  author    = {B{\"o}ckmann, Christine and Kirsche, Andreas},
  title     = {Iterative regularization method for lidar remote sensing},
  issn      = {0010-4655},
  doi       = {10.1016/j.cpc.2005.12.019},
  year      = {2006},
  abstract  = {In this paper we present an inversion algorithm for ill-posed problems arising in atmospheric remote sensing. The proposed method is an iterative Runge-Kutta type regularization method. Those methods are better well known for solving differential equations. We adapted them for solving inverse ill-posed problems. The numerical performances of the algorithm are studied by means of simulations concerning the retrieval of aerosol particle size distributions from lidar observations.},
  language  = {en}
}