Li, Qia; Liao, Jianmin; Shen, Lixin; Zhang, Na A Successive Two-stage Method for Sparse Generalized Eigenvalue Problems. arXiv:2308.11904 Preprint, arXiv:2308.11904 [math.OC] (2023). MSC: 90C26 90C32 90C59 90C90 BibTeX Cite \textit{Q. Li} et al., ``A Successive Two-stage Method for Sparse Generalized Eigenvalue Problems'', Preprint, arXiv:2308.11904 [math.OC] (2023) Full Text: arXiv OA License
Prater-Bennette, Ashley; Shen, Lixin; Tripp, Erin E. The proximity operator of the log-sum penalty. (English) Zbl 1508.90094 J. Sci. Comput. 93, No. 3, Paper No. 67, 34 p. (2022). MSC: 90C30 PDFBibTeX XMLCite \textit{A. Prater-Bennette} et al., J. Sci. Comput. 93, No. 3, Paper No. 67, 34 p. (2022; Zbl 1508.90094) Full Text: DOI arXiv
Li, Qia; Shen, Lixin; Zhang, Na; Zhou, Junpeng A proximal algorithm with backtracked extrapolation for a class of structured fractional programming. (English) Zbl 1480.90238 Appl. Comput. Harmon. Anal. 56, 98-122 (2022). MSC: 90C32 90C26 65K05 PDFBibTeX XMLCite \textit{Q. Li} et al., Appl. Comput. Harmon. Anal. 56, 98--122 (2022; Zbl 1480.90238) Full Text: DOI
Xu, Chen; Liu, Xiaoxia; Zheng, Jian; Shen, Lixin; Jiang, Qingtang; Lu, Jian Nonlocal low-rank regularized two-phase approach for mixed noise removal. (English) Zbl 1469.94018 Inverse Probl. 37, No. 8, Article ID 085001, 25 p. (2021). MSC: 94A08 90C25 68U10 65D18 PDFBibTeX XMLCite \textit{C. Xu} et al., Inverse Probl. 37, No. 8, Article ID 085001, 25 p. (2021; Zbl 1469.94018) Full Text: DOI
Shen, Lixin; Suter, Bruce W.; Tripp, Erin E. Algorithmic versatility of SPF-regularization methods. (English) Zbl 1512.94007 Anal. Appl., Singap. 19, No. 1, 43-69 (2021). MSC: 94A08 94A12 90C25 65K05 PDFBibTeX XMLCite \textit{L. Shen} et al., Anal. Appl., Singap. 19, No. 1, 43--69 (2021; Zbl 1512.94007) Full Text: DOI arXiv
Liu, Xiaoxia; Lu, Jian; Shen, Lixin; Xu, Chen; Xu, Yuesheng Multiplicative noise removal: nonlocal low-rank model and its proximal alternating reweighted minimization algorithm. (English) Zbl 1501.94003 SIAM J. Imaging Sci. 13, No. 3, 1595-1629 (2020). MSC: 94A08 94A12 90C26 15A03 46N10 65F22 PDFBibTeX XMLCite \textit{X. Liu} et al., SIAM J. Imaging Sci. 13, No. 3, 1595--1629 (2020; Zbl 1501.94003) Full Text: DOI arXiv
Yang, Hanmei; Li, Jiachang; Shen, Lixin; Lu, Jian A convex variational model for restoring SAR images corrupted by multiplicative noise. (English) Zbl 1459.94023 Math. Probl. Eng. 2020, Article ID 1952782, 19 p. (2020). MSC: 94A08 49N90 90C25 68U10 PDFBibTeX XMLCite \textit{H. Yang} et al., Math. Probl. Eng. 2020, Article ID 1952782, 19 p. (2020; Zbl 1459.94023) Full Text: DOI
Shen, Lixin; Suter, Bruce W.; Tripp, Erin E. Structured sparsity promoting functions. (English) Zbl 1428.90140 J. Optim. Theory Appl. 183, No. 2, 386-421 (2019). MSC: 90C26 90C30 65K99 PDFBibTeX XMLCite \textit{L. Shen} et al., J. Optim. Theory Appl. 183, No. 2, 386--421 (2019; Zbl 1428.90140) Full Text: DOI arXiv
Zhou, Yi; Liang, Yingbin; Shen, Lixin A simple convergence analysis of Bregman proximal gradient algorithm. (English) Zbl 1423.90275 Comput. Optim. Appl. 73, No. 3, 903-912 (2019). MSC: 90C52 90C25 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Comput. Optim. Appl. 73, No. 3, 903--912 (2019; Zbl 1423.90275) Full Text: DOI arXiv
Lu, Jian; Yang, Zeping; Shen, Lixin; Lu, Zhaosong; Yang, Hanmei; Xu, Chen A framelet algorithm for de-blurring images corrupted by multiplicative noise. (English) Zbl 1460.94010 Appl. Math. Modelling 62, 51-61 (2018). MSC: 94A08 94C15 65T60 90C25 65D18 PDFBibTeX XMLCite \textit{J. Lu} et al., Appl. Math. Modelling 62, 51--61 (2018; Zbl 1460.94010) Full Text: DOI
Dai, Dao-Qing; Shen, Lixin; Xu, Yuesheng; Zhang, Na Noisy 1-bit compressive sensing: models and algorithms. (English) Zbl 1331.65085 Appl. Comput. Harmon. Anal. 40, No. 1, 1-32 (2016). MSC: 65K05 94A12 90C30 PDFBibTeX XMLCite \textit{D.-Q. Dai} et al., Appl. Comput. Harmon. Anal. 40, No. 1, 1--32 (2016; Zbl 1331.65085) Full Text: DOI
Li, Qia; Shen, Lixin; Xu, Yuesheng; Zhang, Na Multi-step fixed-point proximity algorithms for solving a class of optimization problems arising from image processing. (English) Zbl 1326.65069 Adv. Comput. Math. 41, No. 2, 387-422 (2015). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 94A08 90C26 65D18 PDFBibTeX XMLCite \textit{Q. Li} et al., Adv. Comput. Math. 41, No. 2, 387--422 (2015; Zbl 1326.65069) Full Text: DOI
Shen, Lixin; Xu, Yuesheng; Zhang, Na An approximate sparsity model for inpainting. (English) Zbl 1294.65027 Appl. Comput. Harmon. Anal. 37, No. 1, 171-184 (2014). MSC: 65D18 90C26 65K05 PDFBibTeX XMLCite \textit{L. Shen} et al., Appl. Comput. Harmon. Anal. 37, No. 1, 171--184 (2014; Zbl 1294.65027) Full Text: DOI
Shen, Lixin; Wu, Yu-Bin Single machine past-sequence-dependent delivery times scheduling with general position-dependent and time-dependent learning effects. (English) Zbl 1426.90139 Appl. Math. Modelling 37, No. 7, 5444-5451 (2013). MSC: 90B35 PDFBibTeX XMLCite \textit{L. Shen} and \textit{Y.-B. Wu}, Appl. Math. Modelling 37, No. 7, 5444--5451 (2013; Zbl 1426.90139) Full Text: DOI
Shen, Lixin; Wang, Dan; Wang, Xiao-Yuan Parallel-machine scheduling with non-simultaneous machine available time. (English) Zbl 1426.90138 Appl. Math. Modelling 37, No. 7, 5227-5232 (2013). MSC: 90B35 PDFBibTeX XMLCite \textit{L. Shen} et al., Appl. Math. Modelling 37, No. 7, 5227--5232 (2013; Zbl 1426.90138) Full Text: DOI
Shen, Lixin; Suter, Bruce W. Bounds for eigenvalues of arrowhead matrices and their applications to hub matrices and wireless communications. (English) Zbl 1192.15018 EURASIP J. Adv. Signal Process. 2009, Article ID 379402, 12 p. (2009). MSC: 15B99 90B18 94A12 PDFBibTeX XMLCite \textit{L. Shen} and \textit{B. W. Suter}, EURASIP J. Adv. Signal Process. 2009, Article ID 379402, 12 p. (2009; Zbl 1192.15018) Full Text: DOI