Jin, Qinian Convergence rates of a dual gradient method for constrained linear ill-posed problems. (English) Zbl 1498.65077 Numer. Math. 151, No. 4, 841-871 (2022). MSC: 65J15 65J20 PDFBibTeX XMLCite \textit{Q. Jin}, Numer. Math. 151, No. 4, 841--871 (2022; Zbl 1498.65077) Full Text: DOI arXiv
Li, Wen; Resmerita, Elena; Vese, Luminita A. Multiscale hierarchical image decomposition and refinements: qualitative and quantitative results. (English) Zbl 1523.94015 SIAM J. Imaging Sci. 14, No. 2, 844-877 (2021). MSC: 94A08 26B30 46N10 PDFBibTeX XMLCite \textit{W. Li} et al., SIAM J. Imaging Sci. 14, No. 2, 844--877 (2021; Zbl 1523.94015) Full Text: DOI
Kindermann, Stefan; Raik, Kemal A simplified L-curve method as error estimator. (English) Zbl 1475.65024 ETNA, Electron. Trans. Numer. Anal. 53, 217-238 (2020). MSC: 65F22 PDFBibTeX XMLCite \textit{S. Kindermann} and \textit{K. Raik}, ETNA, Electron. Trans. Numer. Anal. 53, 217--238 (2020; Zbl 1475.65024) Full Text: DOI arXiv Link
Hofmann, Bernd; Kindermann, Stefan; Mathé, Peter Penalty-based smoothness conditions in convex variational regularization. (English) Zbl 1483.65087 J. Inverse Ill-Posed Probl. 27, No. 2, 283-300 (2019). MSC: 65J20 47A52 PDFBibTeX XMLCite \textit{B. Hofmann} et al., J. Inverse Ill-Posed Probl. 27, No. 2, 283--300 (2019; Zbl 1483.65087) Full Text: DOI arXiv
Sprung, Benjamin; Hohage, Thorsten Higher order convergence rates for Bregman iterated variational regularization of inverse problems. (English) Zbl 07006668 Numer. Math. 141, No. 1, 215-252 (2019). MSC: 65J20 65J22 PDFBibTeX XMLCite \textit{B. Sprung} and \textit{T. Hohage}, Numer. Math. 141, No. 1, 215--252 (2019; Zbl 07006668) Full Text: DOI arXiv
Wu, Zehui; Lu, Shuai Relaxing alternating direction method of multipliers (ADMM) for linear inverse problems. (English) Zbl 1403.65026 Hofmann, Bernd (ed.) et al., New trends in parameter identification for mathematical models. Proceedings of the conference, Rio de Janeiro, Brazil, October 30 – November 3, 2017. Cham: Birkhäuser (ISBN 978-3-319-70823-2/hbk; 978-3-319-70824-9/ebook). Trends in Mathematics, 317-345 (2018). MSC: 65J22 PDFBibTeX XMLCite \textit{Z. Wu} and \textit{S. Lu}, in: New trends in parameter identification for mathematical models. Proceedings of the conference, Rio de Janeiro, Brazil, October 30 -- November 3, 2017. Cham: Birkhäuser. 317--345 (2018; Zbl 1403.65026) Full Text: DOI
Zhang, Zhengqiang; Jin, Qinian Heuristic rule for non-stationary iterated Tikhonov regularization in Banach spaces. (English) Zbl 1440.65062 Inverse Probl. 34, No. 11, Article ID 115002, 26 p. (2018). Reviewer: Bangti Jin (London) MSC: 65J22 65J20 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{Q. Jin}, Inverse Probl. 34, No. 11, Article ID 115002, 26 p. (2018; Zbl 1440.65062) Full Text: DOI
Pörner, Frank A priori stopping rule for an iterative Bregman method for optimal control problems. (English) Zbl 1390.49031 Optim. Methods Softw. 33, No. 2, 249-267 (2018). MSC: 49M15 49N45 65K10 91B76 PDFBibTeX XMLCite \textit{F. Pörner}, Optim. Methods Softw. 33, No. 2, 249--267 (2018; Zbl 1390.49031) Full Text: DOI arXiv
Jin, Qinian On a heuristic stopping rule for the regularization of inverse problems by the augmented Lagrangian method. (English) Zbl 1376.65086 Numer. Math. 136, No. 4, 973-992 (2017). Reviewer: Bangti Jin (London) MSC: 65J10 65J20 65J22 47A52 45A05 65R20 PDFBibTeX XMLCite \textit{Q. Jin}, Numer. Math. 136, No. 4, 973--992 (2017; Zbl 1376.65086) Full Text: DOI
Jiao, Yuling; Jin, Qinian; Lu, Xiliang; Wang, Weijie Preconditioned alternating direction method of multipliers for inverse problems with constraints. (English) Zbl 1360.65164 Inverse Probl. 33, No. 2, Article ID 025004, 34 p. (2017). Reviewer: Bangti Jin (London) MSC: 65J22 65J10 47A52 65J20 65R10 44A12 92C55 PDFBibTeX XMLCite \textit{Y. Jiao} et al., Inverse Probl. 33, No. 2, Article ID 025004, 34 p. (2017; Zbl 1360.65164) Full Text: DOI Link
Pörner, Frank; Wachsmuth, Daniel An iterative Bregman regularization method for optimal control problems with inequality constraints. (English) Zbl 1394.49028 Optimization 65, No. 12, 2195-2215 (2016). MSC: 49M20 90C48 PDFBibTeX XMLCite \textit{F. Pörner} and \textit{D. Wachsmuth}, Optimization 65, No. 12, 2195--2215 (2016; Zbl 1394.49028) Full Text: DOI arXiv
Jiao, Yuling; Jin, Qinian; Lu, Xiliang; Wang, Weijie Alternating direction method of multipliers for linear inverse problems. (English) Zbl 1342.65137 SIAM J. Numer. Anal. 54, No. 4, 2114-2137 (2016). MSC: 65J20 65J22 90C25 PDFBibTeX XMLCite \textit{Y. Jiao} et al., SIAM J. Numer. Anal. 54, No. 4, 2114--2137 (2016; Zbl 1342.65137) Full Text: DOI arXiv
Toma, Alina; Sixou, Bruno; Peyrin, Françoise Iterative choice of the optimal regularization parameter in TV image restoration. (English) Zbl 1332.65074 Inverse Probl. Imaging 9, No. 4, 1171-1191 (2015). MSC: 65J22 65J20 65K10 52A41 PDFBibTeX XMLCite \textit{A. Toma} et al., Inverse Probl. Imaging 9, No. 4, 1171--1191 (2015; Zbl 1332.65074) Full Text: DOI
Jung, Miyoun; Resmerita, Elena; Vese, Luminita A. Dual norm based iterative methods for image restoration. (English) Zbl 1255.94018 J. Math. Imaging Vis. 44, No. 2, 128-149 (2012). MSC: 94A08 49Q20 49N45 90C25 PDFBibTeX XMLCite \textit{M. Jung} et al., J. Math. Imaging Vis. 44, No. 2, 128--149 (2012; Zbl 1255.94018) Full Text: DOI Link