Geometry of linear ill-posed problems in variable Hilbert scales

This publication has 19 references indexed in Scilit:

• Adaptive estimation of linear functionals in Hilbert scales from indirect white noise observations
  Probability Theory and Related Fields, 2000
• Regularization of exponentially ill-posed problems
  Numerical Functional Analysis and Optimization, 2000
• A convergence analysis of iterative methods for the solution of nonlinear ill-posed problems under affinely invariant conditions
  Inverse Problems, 1998
• Statistical Inverse Estimation in Hilbert Scales
  SIAM Journal on Applied Mathematics, 1996
• Variable hilbert scales and their interpolation inequalities with applications to tikhonov regularization
  Applicable Analysis, 1995
• Tikhonov Regularization for Finitely and Infinitely Smoothing Operators
  SIAM Journal on Mathematical Analysis, 1994
• An Optimal Order Regularization Method which Does Not Use Additional Smoothness Assumptions
  SIAM Journal on Numerical Analysis, 1992
• An a posteriori parameter choice for ordinary and iterated Tikhonov regularization of ill-posed problems leading to optimal convergence rates
  Mathematics of Computation, 1987
• An Algorithm for Computing Minimum Norm Solutions of Fredholm Integral Equations of the First Kind
  SIAM Journal on Numerical Analysis, 1978
• Error estimates for solutions of incorrectly posed linear problems
  USSR Computational Mathematics and Mathematical Physics, 1969