A class of discrepancy principles for the choice of parameters for the simplified regularization of ill-posed problems is proposed. This procedure does not require knowledge of the unknown solution, and if the smoothness ...

The author would like to correct an error in the statement of a result 'in Bull. Aust. Math. Soc. 36 (1987) 485–492' and also to incorporate an additional result.

Schock(1984) considered a general a posteriori parameter choice strategy for the regularization of ill-posed problems which provide nearly the optimal rate of convergence. We improve the result of Schock and give a class ...

A modified projection method is suggested for the approximate solution of second kind equations and it is compared with other methods.

Ahues (1987) and Bouldin (1990) have given sufficient conditions for the strong stability of a sequence (T(n)) of operators at an isolated eigenvalue of an operator T. This paper provides a unified treatment of their results ...

Schock (Ref. 1) considered a general a posteriori parameter choice strategy for the Tikhonov regularization of the ill-posed operator equation Tx=y which provides nearly the optimal rate of convergence if the minimal-norm ...

A unified approach for regularized approximation methods for Fredholm integral equations of the first kind is presented.Convergence theorems are proved in both the Hilbert space setting and in the uniform norm; the rate ...