Winkler, Robert; Rieder, Andreas Model-aware Newton-type inversion scheme for electrical impedance tomography. (English) Zbl 1316.47049 Inverse Probl. 31, No. 4, Article ID 045009, 27 p. (2015). MSC: 47J06 65F22 65N21 PDF BibTeX XML Cite \textit{R. Winkler} and \textit{A. Rieder}, Inverse Probl. 31, No. 4, Article ID 045009, 27 p. (2015; Zbl 1316.47049) Full Text: DOI
Schuster, Thomas; Rieder, Andreas; Schöpfer, Frank The approximate inverse in action. IV: Semi-discrete equations in a Banach space setting. (English) Zbl 1259.65078 Inverse Probl. 28, No. 10, Article ID 104001, 19 p. (2012). Reviewer: R. S. Dahiya (Ames) MSC: 65J10 65J20 47A50 PDF BibTeX XML Cite \textit{T. Schuster} et al., Inverse Probl. 28, No. 10, Article ID 104001, 19 p. (2012; Zbl 1259.65078) Full Text: DOI
Rieder, Andreas Inexact Newton regularization using conjugate gradients as inner iteration. (English) Zbl 1092.65047 SIAM J. Numer. Anal. 43, No. 2, 604-622 (2005). Reviewer: Yuxia Guo (Beijing) MSC: 65J15 47J06 65J20 PDF BibTeX XML Cite \textit{A. Rieder}, SIAM J. Numer. Anal. 43, No. 2, 604--622 (2005; Zbl 1092.65047) Full Text: DOI
Rieder, Andreas Runge-Kutta integrators yield optimal regularization schemes. (English) Zbl 1075.65078 Inverse Probl. 21, No. 2, 453-471 (2005). Reviewer: Bernd Hofmann (Chemnitz) MSC: 65J10 65J20 47A52 65L06 34G10 PDF BibTeX XML Cite \textit{A. Rieder}, Inverse Probl. 21, No. 2, 453--471 (2005; Zbl 1075.65078) Full Text: DOI
Rieder, Andreas; Schuster, Thomas The approximate inverse in action. III: 3D-Doppler tomography. (English) Zbl 1071.65178 Numer. Math. 97, No. 2, 353-378 (2004). Reviewer: R. S. Dahiya (Ames) MSC: 65R10 65J10 65J20 47A50 44A12 92C55 65R30 47A52 PDF BibTeX XML Cite \textit{A. Rieder} and \textit{T. Schuster}, Numer. Math. 97, No. 2, 353--378 (2004; Zbl 1071.65178) Full Text: DOI
Rieder, Andreas No problems with inverse problems. An introduction to its stable solutions. (Keine Probleme mit inversen Problemen. Eine Einführung in ihre stabile Lösung.) (German) Zbl 1057.65035 Wiesbaden: Vieweg (ISBN 3-528-03198-0/pbk). xiv, 300 S. (2003). Reviewer: Bernd Hofmann (Chemnitz) MSC: 65J22 45Q05 47A52 47J06 35R30 65R32 34A55 65N21 65M32 65J10 65J15 65J20 65-02 65L09 PDF BibTeX XML Cite \textit{A. Rieder}, Keine Probleme mit inversen Problemen. Eine Einführung in ihre stabile Lösung. Wiesbaden: Vieweg (2003; Zbl 1057.65035)
Rieder, Andreas; Schuster, Thomas The approximate inverse in action II: convergence and stability. (English) Zbl 1022.65066 Math. Comput. 72, No. 243, 1399-1415 (2003). Reviewer: R.S.Dahiya (Ames) MSC: 65J10 65J20 65R10 44A12 47A50 47A52 92C55 65R30 PDF BibTeX XML Cite \textit{A. Rieder} and \textit{T. Schuster}, Math. Comput. 72, No. 243, 1399--1415 (2003; Zbl 1022.65066) Full Text: DOI
Rieder, Andreas On convergence rates of inexact Newton regularizations. (English) Zbl 0990.65061 Numer. Math. 88, No. 2, 347-365 (2001). Reviewer: Teresa Regińska (Warszawa) MSC: 65J15 65J20 47J06 PDF BibTeX XML Cite \textit{A. Rieder}, Numer. Math. 88, No. 2, 347--365 (2001; Zbl 0990.65061) Full Text: DOI
Rieder, Andreas; Schuster, Thomas The approximate inverse in action with an application to computerized tomography. (English) Zbl 0961.65112 SIAM J. Numer. Anal. 37, No. 6, 1909-1929 (2000). Reviewer: R.S.Dahiya (Ames) MSC: 65R10 65J20 65J10 65R30 44A12 47A52 92C55 47A50 PDF BibTeX XML Cite \textit{A. Rieder} and \textit{T. Schuster}, SIAM J. Numer. Anal. 37, No. 6, 1909--1929 (2000; Zbl 0961.65112) Full Text: DOI
Rieder, A. A unified convergence theory for the iterative regularization of nonlinear ill-posed problems. (English) Zbl 0957.65051 ZAMM, Z. Angew. Math. Mech. 80, Suppl. 1, S245-S248 (2000). MSC: 65J15 65J20 47J25 47J06 PDF BibTeX XML Cite \textit{A. Rieder}, ZAMM, Z. Angew. Math. Mech. 80, S245--S248 (2000; Zbl 0957.65051) Full Text: DOI
Rieder, Andreas On the regularization of nonlinear ill-posed problems via inexact Newton iterations. (English) Zbl 0969.65049 Inverse Probl. 15, No. 1, 309-327 (1999). Reviewer: Gabriel Dimitriu (Iaşi) MSC: 65J15 65N21 35R30 65J20 47J25 47J06 PDF BibTeX XML Cite \textit{A. Rieder}, Inverse Probl. 15, No. 1, 309--327 (1999; Zbl 0969.65049) Full Text: DOI
Maaß, Peter; Rieder, Andreas Wavelet-accelerated Tikhonov-Phillips regularization with applications. (English) Zbl 0880.65028 Engl, Heinz W. (ed.) et al., Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4–10, 1996. Wien: Springer. 134-158 (1997). MSC: 65J10 65R10 44A12 92C55 65J20 47A50 PDF BibTeX XML Cite \textit{P. Maaß} and \textit{A. Rieder}, in: Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4--10, 1996. Wien: Springer. 134--158 (1997; Zbl 0880.65028)
Rieder, Andreas A wavelet multilevel method for ill-posed problems stabilized by Tikhonov regularization. (English) Zbl 0878.65039 Numer. Math. 75, No. 4, 501-522 (1997). Reviewer: I.Coroian (Baia Mare) MSC: 65J10 45B05 65R20 65J20 47A50 65R30 PDF BibTeX XML Cite \textit{A. Rieder}, Numer. Math. 75, No. 4, 501--522 (1997; Zbl 0878.65039) Full Text: DOI
Louis, Alfred K.; Rieder, Andreas Incomplete data problems in X-ray computerized tomography. II: Truncated projections and region-of-interest tomography. (English) Zbl 0675.65137 Numer. Math. 56, No. 4, 371-383 (1989). MSC: 65R10 44A15 47A70 45H05 PDF BibTeX XML Cite \textit{A. K. Louis} and \textit{A. Rieder}, Numer. Math. 56, No. 4, 371--383 (1989; Zbl 0675.65137) Full Text: DOI EuDML