Ai, Xiao; Ni, Guoxi; Zeng, Tieyong Color image restoration with mixed Gaussian-Cauchy noise and blur. (English) Zbl 07784398 Comput. Appl. Math. 42, No. 8, Paper No. 347, 17 p. (2023). MSC: 65K10 49M41 90C26 PDFBibTeX XMLCite \textit{X. Ai} et al., Comput. Appl. Math. 42, No. 8, Paper No. 347, 17 p. (2023; Zbl 07784398) Full Text: DOI
Chao, Miantao; Nong, Feifan; Zhao, Meiyu An inertial alternating minimization with Bregman distance for a class of nonconvex and nonsmooth problems. (English) Zbl 1518.90073 J. Appl. Math. Comput. 69, No. 2, 1559-1581 (2023). MSC: 90C26 65K05 49M27 PDFBibTeX XMLCite \textit{M. Chao} et al., J. Appl. Math. Comput. 69, No. 2, 1559--1581 (2023; Zbl 1518.90073) Full Text: DOI
Ouyang, Wenqing; Tao, Jiong; Milzarek, Andre; Deng, Bailin Nonmonotone globalization for Anderson acceleration via adaptive regularization. (English) Zbl 1516.65002 J. Sci. Comput. 96, No. 1, Paper No. 5, 37 p. (2023). MSC: 65B05 65K10 PDFBibTeX XMLCite \textit{W. Ouyang} et al., J. Sci. Comput. 96, No. 1, Paper No. 5, 37 p. (2023; Zbl 1516.65002) Full Text: DOI arXiv
Wang, Yuan; Pang, Zhi-Feng Image denoising based on a new anisotropic mean curvature model. (English) Zbl 1518.90084 Inverse Probl. Imaging 17, No. 4, 870-889 (2023). MSC: 90C26 94A08 90C90 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Z.-F. Pang}, Inverse Probl. Imaging 17, No. 4, 870--889 (2023; Zbl 1518.90084) Full Text: DOI
Zeng, Chao Proximal linearization methods for Schatten \(p\)-quasi-norm minimization. (English) Zbl 1510.65087 Numer. Math. 153, No. 1, 213-248 (2023). MSC: 65F55 65K10 15A60 90C26 90C30 PDFBibTeX XMLCite \textit{C. Zeng}, Numer. Math. 153, No. 1, 213--248 (2023; Zbl 1510.65087) Full Text: DOI
Li, Rong; Zheng, Bing The \(\ell_{2,p}\) regularized total variation with overlapping group sparsity prior for image restoration with impulse noise. (English) Zbl 1514.65022 Numer. Algorithms 91, No. 4, 1779-1814 (2022). MSC: 65D18 65K10 90C26 94A08 PDFBibTeX XMLCite \textit{R. Li} and \textit{B. Zheng}, Numer. Algorithms 91, No. 4, 1779--1814 (2022; Zbl 1514.65022) Full Text: DOI
Yashtini, Maryam Convergence and rate analysis of a proximal linearized ADMM for nonconvex nonsmooth optimization. (English) Zbl 1505.90096 J. Glob. Optim. 84, No. 4, 913-939 (2022). MSC: 90C26 PDFBibTeX XMLCite \textit{M. Yashtini}, J. Glob. Optim. 84, No. 4, 913--939 (2022; Zbl 1505.90096) Full Text: DOI
Wu, Chunlin; Guo, Xueyan; Gao, Yiming; Xue, Yunhua A general non-Lipschitz infimal convolution regularized model: Lower bound theory and algorithm. (English) Zbl 1519.49011 SIAM J. Imaging Sci. 15, No. 3, 1499-1538 (2022). MSC: 49J45 65D18 90C26 94A08 68U10 PDFBibTeX XMLCite \textit{C. Wu} et al., SIAM J. Imaging Sci. 15, No. 3, 1499--1538 (2022; Zbl 1519.49011) Full Text: DOI
Adam, Tarmizi; Paramesran, Raveendran; Ratnavelu, Kuru A combined higher order non-convex total variation with overlapping group sparsity for Poisson noise removal. (English) Zbl 1513.94001 Comput. Appl. Math. 41, No. 4, Paper No. 130, 33 p. (2022). MSC: 94A08 90C26 PDFBibTeX XMLCite \textit{T. Adam} et al., Comput. Appl. Math. 41, No. 4, Paper No. 130, 33 p. (2022; Zbl 1513.94001) Full Text: DOI
Dinh, Tao Pham; Huynh, Van Ngai; Le Thi, Hoai An; Ho, Vinh Thanh Alternating DC algorithm for partial DC programming problems. (English) Zbl 1490.90225 J. Glob. Optim. 82, No. 4, 897-928 (2022). MSC: 90C26 PDFBibTeX XMLCite \textit{T. P. Dinh} et al., J. Glob. Optim. 82, No. 4, 897--928 (2022; Zbl 1490.90225) Full Text: DOI
Bergmann, Ronny; Herzog, Roland; Silva Louzeiro, Maurício; Tenbrinck, Daniel; Vidal-Núñez, José Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds. (English) Zbl 07458819 Found. Comput. Math. 21, No. 6, 1465-1504 (2021). MSC: 47Axx 47Hxx 90C26 53C23 PDFBibTeX XMLCite \textit{R. Bergmann} et al., Found. Comput. Math. 21, No. 6, 1465--1504 (2021; Zbl 07458819) Full Text: DOI arXiv
Wu, Tingting; Ng, Michael K.; Zhao, Xi-Le Sparsity reconstruction using nonconvex TGpV-shearlet regularization and constrained projection. (English) Zbl 1510.94029 Appl. Math. Comput. 410, Article ID 126170, 18 p. (2021). MSC: 94A08 90C26 92C55 PDFBibTeX XMLCite \textit{T. Wu} et al., Appl. Math. Comput. 410, Article ID 126170, 18 p. (2021; Zbl 1510.94029) Full Text: DOI
Liu, Jingjing; Ma, Ruijie; Zeng, Xiaoyang; Liu, Wanquan; Wang, Mingyu; Chen, Hui An efficient non-convex total variation approach for image deblurring and denoising. (English) Zbl 1508.94011 Appl. Math. Comput. 397, Article ID 125977, 20 p. (2021). MSC: 94A08 90C26 90C90 PDFBibTeX XMLCite \textit{J. Liu} et al., Appl. Math. Comput. 397, Article ID 125977, 20 p. (2021; Zbl 1508.94011) Full Text: DOI
Deng, Zhao; Liu, Sanyang Inertial generalized proximal Peaceman-Rachford splitting method for separable convex programming. (English) Zbl 1464.90056 Calcolo 58, No. 1, Paper No. 10, 30 p. (2021). MSC: 90C25 90C30 94A08 PDFBibTeX XMLCite \textit{Z. Deng} and \textit{S. Liu}, Calcolo 58, No. 1, Paper No. 10, 30 p. (2021; Zbl 1464.90056) Full Text: DOI
Liu, Jingjing; Lou, Yifei; Ni, Guoxi; Zeng, Tieyong An image sharpening operator combined with framelet for image deblurring. (English) Zbl 1468.94022 Inverse Probl. 36, No. 4, Article ID 045015, 29 p. (2020). MSC: 94A08 65R32 65K05 68U10 42C40 42C15 90C25 90C26 PDFBibTeX XMLCite \textit{J. Liu} et al., Inverse Probl. 36, No. 4, Article ID 045015, 29 p. (2020; Zbl 1468.94022) Full Text: DOI
Wang, Weina; Wu, Chunlin; Tai, Xue-Cheng A globally convergent algorithm for a constrained non-Lipschitz image restoration model. (English) Zbl 1455.94037 J. Sci. Comput. 83, No. 1, Paper No. 14, 29 p. (2020). MSC: 94A08 90C26 94A12 PDFBibTeX XMLCite \textit{W. Wang} et al., J. Sci. Comput. 83, No. 1, Paper No. 14, 29 p. (2020; Zbl 1455.94037) Full Text: DOI
Wu, Zhongming; Liu, Foxiang; Li, Min A proximal Peaceman-Rachford splitting method for solving the multi-block separable convex minimization problems. (English) Zbl 1499.90163 Int. J. Comput. Math. 96, No. 4, 708-728 (2019). MSC: 90C25 65K05 PDFBibTeX XMLCite \textit{Z. Wu} et al., Int. J. Comput. Math. 96, No. 4, 708--728 (2019; Zbl 1499.90163) Full Text: DOI
Sun, Tao; Qiao, Linbo; Li, Dongsheng Bregman reweighted alternating minimization and its application to image deblurring. (English) Zbl 1453.90129 Inf. Sci. 503, 401-416 (2019). MSC: 90C26 94A08 PDFBibTeX XMLCite \textit{T. Sun} et al., Inf. Sci. 503, 401--416 (2019; Zbl 1453.90129) Full Text: DOI
Bai, Lufeng A new nonconvex approach for image restoration with Gamma noise. (English) Zbl 1442.94003 Comput. Math. Appl. 77, No. 10, 2627-2639 (2019). MSC: 94A08 65K05 90C26 90C48 90C90 PDFBibTeX XMLCite \textit{L. Bai}, Comput. Math. Appl. 77, No. 10, 2627--2639 (2019; Zbl 1442.94003) Full Text: DOI
Zeng, Chao; Wu, Chunlin; Jia, Rui Non-Lipschitz models for image restoration with impulse noise removal. (English) Zbl 1426.49037 SIAM J. Imaging Sci. 12, No. 1, 420-458 (2019). MSC: 49N25 49K30 90C26 94A08 94A12 PDFBibTeX XMLCite \textit{C. Zeng} et al., SIAM J. Imaging Sci. 12, No. 1, 420--458 (2019; Zbl 1426.49037) Full Text: DOI
Yashtini, Maryam; Kang, Sung Ha; Zhu, Wei Efficient alternating minimization methods for variational edge-weighted colorization models. (English) Zbl 1409.94713 Adv. Comput. Math. 45, No. 3, 1735-1767 (2019). MSC: 94A08 49M05 49K10 90C26 90C48 PDFBibTeX XMLCite \textit{M. Yashtini} et al., Adv. Comput. Math. 45, No. 3, 1735--1767 (2019; Zbl 1409.94713) Full Text: DOI
Wu, Zhongming; Cai, Xingju; Han, Deren Linearized block-wise alternating direction method of multipliers for multiple-block convex programming. (English) Zbl 1412.90117 J. Ind. Manag. Optim. 14, No. 3, 833-855 (2018). MSC: 90C25 65K05 49M27 PDFBibTeX XMLCite \textit{Z. Wu} et al., J. Ind. Manag. Optim. 14, No. 3, 833--855 (2018; Zbl 1412.90117) Full Text: DOI
He, Yongguang; Li, Huiyun; Liu, Xinwei Relaxed inertial proximal Peaceman-Rachford splitting method for separable convex programming. (English) Zbl 1401.90154 Front. Math. China 13, No. 3, 555-578 (2018). MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{Y. He} et al., Front. Math. China 13, No. 3, 555--578 (2018; Zbl 1401.90154) Full Text: DOI
Ma, Tian-Hui; Huang, Ting-Zhu; Zhao, Xi-Le Spatially dependent regularization parameter selection for total generalized variation-based image denoising. (English) Zbl 1423.94009 Comput. Appl. Math. 37, No. 1, 277-296 (2018). MSC: 94A08 90C26 68U10 90C90 PDFBibTeX XMLCite \textit{T.-H. Ma} et al., Comput. Appl. Math. 37, No. 1, 277--296 (2018; Zbl 1423.94009) Full Text: DOI
Sun, Tao; Yin, Penghang; Cheng, Lizhi; Jiang, Hao Alternating direction method of multipliers with difference of convex functions. (English) Zbl 1393.90119 Adv. Comput. Math. 44, No. 3, 723-744 (2018). MSC: 90C30 90C26 47N10 PDFBibTeX XMLCite \textit{T. Sun} et al., Adv. Comput. Math. 44, No. 3, 723--744 (2018; Zbl 1393.90119) Full Text: DOI
Jeong, Taeuk; Jung, Yoon Mo; Yun, Sangwoon Iterative reweighted algorithm for non-convex Poissonian image restoration model. (English) Zbl 1391.90491 J. Korean Math. Soc. 55, No. 3, 719-734 (2018). MSC: 90C26 49M37 PDFBibTeX XMLCite \textit{T. Jeong} et al., J. Korean Math. Soc. 55, No. 3, 719--734 (2018; Zbl 1391.90491) Full Text: Link
Zhang, Xiongjun; Bai, Minru; Ng, Michael K. Nonconvex-TV based image restoration with impulse noise removal. (English) Zbl 1382.49013 SIAM J. Imaging Sci. 10, No. 3, 1627-1667 (2017). MSC: 49J52 65K10 65F22 90C26 94A08 49N25 PDFBibTeX XMLCite \textit{X. Zhang} et al., SIAM J. Imaging Sci. 10, No. 3, 1627--1667 (2017; Zbl 1382.49013) Full Text: DOI
Ma, Tian-Hui; Lou, Yifei; Huang, Ting-Zhu Truncated \(l_{1-2}\) models for sparse recovery and rank minimization. (English) Zbl 1397.94021 SIAM J. Imaging Sci. 10, No. 3, 1346-1380 (2017). MSC: 94A12 15A83 65K10 90C26 PDFBibTeX XMLCite \textit{T.-H. Ma} et al., SIAM J. Imaging Sci. 10, No. 3, 1346--1380 (2017; Zbl 1397.94021) Full Text: DOI
Sun, Hongchun; Tian, Maoying; Sun, Min The symmetric ADMM with indefinite proximal regularization and its application. (English) Zbl 1368.90128 J. Inequal. Appl. 2017, Paper No. 172, 22 p. (2017). MSC: 90C25 94A08 PDFBibTeX XMLCite \textit{H. Sun} et al., J. Inequal. Appl. 2017, Paper No. 172, 22 p. (2017; Zbl 1368.90128) Full Text: DOI
Lanza, A.; Morigi, S.; Selesnick, I.; Sgallari, F. Nonconvex nonsmooth optimization via convex-nonconvex majorization-minimization. (English) Zbl 1368.65087 Numer. Math. 136, No. 2, 343-381 (2017). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C26 49J52 PDFBibTeX XMLCite \textit{A. Lanza} et al., Numer. Math. 136, No. 2, 343--381 (2017; Zbl 1368.65087) Full Text: DOI
Jung, Miyoun Piecewise-smooth image segmentation models with \(L^1\) data-fidelity terms. (English) Zbl 1366.65039 J. Sci. Comput. 70, No. 3, 1229-1261 (2017). MSC: 65D18 94A08 65K05 90C26 PDFBibTeX XMLCite \textit{M. Jung}, J. Sci. Comput. 70, No. 3, 1229--1261 (2017; Zbl 1366.65039) Full Text: DOI
Ma, Shiqian Alternating proximal gradient method for convex minimization. (English) Zbl 1371.65056 J. Sci. Comput. 68, No. 2, 546-572 (2016). MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{S. Ma}, J. Sci. Comput. 68, No. 2, 546--572 (2016; Zbl 1371.65056) Full Text: DOI
Deng, Wei; Yin, Wotao On the global and linear convergence of the generalized alternating direction method of multipliers. (English) Zbl 1379.65036 J. Sci. Comput. 66, No. 3, 889-916 (2016). Reviewer: Gabriela Cristescu (Arad) MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{W. Deng} and \textit{W. Yin}, J. Sci. Comput. 66, No. 3, 889--916 (2016; Zbl 1379.65036) Full Text: DOI Link
Yashtini, Maryam; Kang, Sung Ha A fast relaxed normal two split method and an effective weighted TV approach for Euler’s elastica image inpainting. (English) Zbl 1366.94075 SIAM J. Imaging Sci. 9, No. 4, 1552-1581 (2016). MSC: 94A08 90C26 PDFBibTeX XMLCite \textit{M. Yashtini} and \textit{S. H. Kang}, SIAM J. Imaging Sci. 9, No. 4, 1552--1581 (2016; Zbl 1366.94075) Full Text: DOI
Storath, Martin; Weinmann, Andreas; Unser, Michael Exact algorithms for \(L^1\)-TV regularization of real-valued or circle-valued signals. (English) Zbl 1382.94029 SIAM J. Sci. Comput. 38, No. 1, A614-A630 (2016). MSC: 94A12 65K10 94A08 90C26 90C39 PDFBibTeX XMLCite \textit{M. Storath} et al., SIAM J. Sci. Comput. 38, No. 1, A614--A630 (2016; Zbl 1382.94029) Full Text: DOI arXiv
Li, Guoyin; Pong, Ting Kei Global convergence of splitting methods for nonconvex composite optimization. (English) Zbl 1330.90087 SIAM J. Optim. 25, No. 4, 2434-2460 (2015). MSC: 90C26 90C06 90C30 90C90 PDFBibTeX XMLCite \textit{G. Li} and \textit{T. K. Pong}, SIAM J. Optim. 25, No. 4, 2434--2460 (2015; Zbl 1330.90087) Full Text: DOI arXiv
Hager, William; Ngo, Cuong; Yashtini, Maryam; Zhang, Hong-Chao An alternating direction approximate Newton algorithm for ill-conditioned inverse problems with application to parallel MRI. (English) Zbl 1317.90235 J. Oper. Res. Soc. China 3, No. 2, 139-162 (2015). MSC: 90C25 65K05 68U10 65J22 PDFBibTeX XMLCite \textit{W. Hager} et al., J. Oper. Res. Soc. China 3, No. 2, 139--162 (2015; Zbl 1317.90235) Full Text: DOI
Phan, Dzung; Ghosh, Soumyadip Two-stage stochastic optimization for optimal power flow under renewable generation uncertainty. (English) Zbl 1322.90055 ACM Trans. Model. Comput. Simul. 24, No. 1, Article No. 2, 22 p. (2014). MSC: 90C15 68W25 90C59 91B32 91B76 PDFBibTeX XMLCite \textit{D. Phan} and \textit{S. Ghosh}, ACM Trans. Model. Comput. Simul. 24, No. 1, Article No. 2, 22 p. (2014; Zbl 1322.90055) Full Text: DOI
Jiang, Bo; Ma, Shiqian; Zhang, Shuzhong Alternating direction method of multipliers for real and complex polynomial optimization models. (English) Zbl 1291.90242 Optimization 63, No. 6, 883-898 (2014). MSC: 90C30 90C26 15A69 65F30 PDFBibTeX XMLCite \textit{B. Jiang} et al., Optimization 63, No. 6, 883--898 (2014; Zbl 1291.90242) Full Text: DOI
Chen, Caihua; Shen, Yuan; You, Yanfei On the convergence analysis of the alternating direction method of multipliers with three blocks. (English) Zbl 1302.90148 Abstr. Appl. Anal. 2013, Article ID 183961, 7 p. (2013). MSC: 90C25 PDFBibTeX XMLCite \textit{C. Chen} et al., Abstr. Appl. Anal. 2013, Article ID 183961, 7 p. (2013; Zbl 1302.90148) Full Text: DOI
Xiao, Yunhai; Wu, Soon-Yi; Li, Dong-Hui Splitting and linearizing augmented Lagrangian algorithm for subspace recovery from corrupted observations. (English) Zbl 1269.65057 Adv. Comput. Math. 38, No. 4, 837-858 (2013). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{Y. Xiao} et al., Adv. Comput. Math. 38, No. 4, 837--858 (2013; Zbl 1269.65057) Full Text: DOI
Zhang, Yong; Dong, Bin; Lu, Zhaosong \(\ell _{0}\) minimization for wavelet frame based image restoration. (English) Zbl 1277.80022 Math. Comput. 82, No. 282, 995-1015 (2013). Reviewer: Dan Polisevski (Bucureşti) MSC: 80M50 90C26 42C40 68U10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Math. Comput. 82, No. 282, 995--1015 (2013; Zbl 1277.80022) Full Text: DOI