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 PDFBibTeX XMLCite \textit{T. Schuster} et al., Inverse Probl. 28, No. 10, Article ID 104001, 19 p. (2012; Zbl 1259.65078) Full Text: DOI Link
Schuster, Thomas; Kaltenbacher, Barbara; Hofmann, Bernd; Kazimierski, Kamil S. Regularization methods in Banach spaces. (English) Zbl 1259.65087 Radon Series on Computational and Applied Mathematics 10. Berlin: de Gruyter (ISBN 978-3-11-025524-9/hbk; 978-3-11-025572-0/ebook). xi, 283 p. (2012). Reviewer: Robert Plato (Siegen) MSC: 65J20 65-02 47A52 47J06 47J20 49J40 65J22 65J10 65J15 44A12 65R30 44A10 42A38 PDFBibTeX XMLCite \textit{T. Schuster} et al., Regularization methods in Banach spaces. Berlin: de Gruyter (2012; Zbl 1259.65087) Full Text: DOI
Schuster, Thomas; Schöpfer, Frank Solving linear operator equations in Banach spaces non-iteratively by the method of approximate inverse. (English) Zbl 1218.47023 Inverse Probl. 26, No. 8, Article ID 085006, 19 p. (2010). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 47A52 47A50 65R32 45Q05 40G10 47N50 PDFBibTeX XMLCite \textit{T. Schuster} and \textit{F. Schöpfer}, Inverse Probl. 26, No. 8, Article ID 085006, 19 p. (2010; Zbl 1218.47023) Full Text: DOI Link
Kaltenbacher, Barbara; Schöpfer, Frank; Schuster, Thomas Iterative methods for nonlinear ill-posed problems in Banach spaces: convergence and applications to parameter identification problems. (English) Zbl 1176.65070 Inverse Probl. 25, No. 6, Article ID 065003, 19 p. (2009). Reviewer: B. Döring (Düsseldorf) MSC: 65J15 65J20 65N21 35R30 47J06 47J25 35J25 PDFBibTeX XMLCite \textit{B. Kaltenbacher} et al., Inverse Probl. 25, No. 6, Article ID 065003, 19 p. (2009; Zbl 1176.65070) Full Text: DOI Link
Schöpfer, F.; Schuster, T. Acceleration of the generalized Landweber method in Banach spaces via sequential subspace optimization. (English) Zbl 1159.65054 J. Inverse Ill-Posed Probl. 17, No. 1, 91-99 (2009). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{F. Schöpfer} and \textit{T. Schuster}, J. Inverse Ill-Posed Probl. 17, No. 1, 91--99 (2009; Zbl 1159.65054) Full Text: DOI
Schöpfer, F.; Schuster, T. Fast regularizing sequential subspace optimization in Banach spaces. (English) Zbl 1165.47010 Inverse Probl. 25, No. 1, Article ID 015013, 22 p. (2009). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 47A52 65J10 65J20 PDFBibTeX XMLCite \textit{F. Schöpfer} and \textit{T. Schuster}, Inverse Probl. 25, No. 1, Article ID 015013, 22 p. (2009; Zbl 1165.47010) Full Text: DOI Link
Bonesky, Thomas; Kazimierski, Kamil S.; Maass, Peter; Schöpfer, Frank; Schuster, Thomas Minimization of Tikhonov functionals in Banach spaces. (English) Zbl 1357.49135 Abstr. Appl. Anal. 2008, Article ID 192679, 19 p. (2008). MSC: 49N45 47N10 49N20 PDFBibTeX XMLCite \textit{T. Bonesky} et al., Abstr. Appl. Anal. 2008, Article ID 192679, 19 p. (2008; Zbl 1357.49135) Full Text: DOI
Schuster, Thomas The method of approximate inverse: Theory and applications. (English) Zbl 1171.65001 Lecture Notes in Mathematics 1906. Berlin: Springer (ISBN 978-3-540-71226-8/pbk). xiii, 198 p. (2007). Reviewer: M. Thamban Nair (Chennai) MSC: 65-02 65J10 65J20 47A52 44A12 65R10 65R30 65R32 92C55 PDFBibTeX XMLCite \textit{T. Schuster}, The method of approximate inverse: Theory and applications. Berlin: Springer (2007; Zbl 1171.65001) Full Text: DOI
Schöpfer, F.; Louis, A. K.; Schuster, T. Nonlinear iterative methods for linear ill-posed problems in Banach spaces. (English) Zbl 1088.65052 Inverse Probl. 22, No. 1, 311-329 (2006). Reviewer: Iulian Coroian (Baia Mare) MSC: 65J10 65J20 47A52 PDFBibTeX XMLCite \textit{F. Schöpfer} et al., Inverse Probl. 22, No. 1, 311--329 (2006; Zbl 1088.65052) Full Text: DOI Link
Schuster, Thomas; Quinto, Eric Todd On a regularization scheme for linear operators in distribution spaces with an application to the spherical Radon transform. (English) Zbl 1081.65122 SIAM J. Appl. Math. 65, No. 4, 1369-1387 (2005). Reviewer: Som Prakash Goyal (Jaipur) MSC: 65R10 44A12 46F12 65J10 47A50 PDFBibTeX XMLCite \textit{T. Schuster} and \textit{E. T. Quinto}, SIAM J. Appl. Math. 65, No. 4, 1369--1387 (2005; Zbl 1081.65122) 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 PDFBibTeX XMLCite \textit{A. Rieder} and \textit{T. Schuster}, Numer. Math. 97, No. 2, 353--378 (2004; Zbl 1071.65178) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{A. Rieder} and \textit{T. Schuster}, Math. Comput. 72, No. 243, 1399--1415 (2003; Zbl 1022.65066) 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 PDFBibTeX XMLCite \textit{A. Rieder} and \textit{T. Schuster}, SIAM J. Numer. Anal. 37, No. 6, 1909--1929 (2000; Zbl 0961.65112) Full Text: DOI