- Engl , H.W. and Gfrerer , H. 1988 . A posteriori parameter choice for general regularization methods for solving linear ill-posed problems . Appl. Numer. Math. , 4 : 395 – 417 .
- Gfrerer , H. 1987 . On a postreriori parameter choioce for ordinary and iterated Tikhonov regularization of ill-posed problems leading to optimal convergence rates . Math. Comp. , 49 : 507 – 622 .
- Hämarik , U. 1993 . On a parameter choice in the regularized Ritz-Galerkin method . Proc. Estonian Acad Sci. Phys. Math. , 42 : 133 – 143 .
- Leonov , A.S. 1991 . On the accuracy of Tikhonov regularizing algorithms and quasioptimal selection of a regularization parameter . Soviet Math. Dokl. , 44 ( 3 ) : 711 – 716 .
- Nashed , M.Z. 1987 . Inner, outer and generalized inverses in Banach and Hilbert spaces . Numer. Funct. Anal. Optim. , 9 (3—4) : 261 – 325 .
- Nevanlinna , O. 1993 . “ Convergence of Iterations for Linear Equations ” . Basel,Boston, , Berlin : Birkhäuser .
- Pazy , T. 1983 . “ Semigroups and Appplications to Partial Differential Operators ” . New York : Springer . reprint edition
- Plato R. The discrepancy principle for iterative and other methods to solve linear ill-posed equations Submitted for publication
- Plato , R. 1992 . “ Two iterative schemes for solving linear non-necessarily well-posed problems in Banach spaces ” . In Proc. Moscow 1991 , Edited by: Tikhonov , A.N. 134 – 143 . Utrecht,Tokyo : VSP .
- Plato R. On resolvent conditions for Abel integral operators In preparation
- Raus , T. 1984 . Residue principle for ill-posed problems(in Russian) . Acta et comment. Univers. Tartuensis , 672 : 16 – 26 .
- Raus , T. 1985 . Residue principle for ill-posed with nonselfadjoint operators ( in Russian) . Acta et comment. Univers. Tartuensis , 715 : 12 – 20 .
On pseudo—optimal parameter choices and stopping rules for regularization methods in banach spaces Footnote∗∗Main parts of this paper were written while the second author was visiting the Technische Universität Berlin. He gratefully acknowledges a ‘Konfereze de Deutchen Akademien der Wissenchaften’ scholarship which is financially supported by the ‘Volkswagenstiftung’. The second author moreover would like to acknowledge the support of the estonian science Foundation
Regularization methods in banach spaces
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