Gao, Kaixin; Huang, Zheng-Hai; Guo, Lulu Low-rank matrix recovery problem minimizing a new ratio of two norms approximating the rank function then using an ADMM-type solver with applications. (English) Zbl 07756769 J. Comput. Appl. Math. 438, Article ID 115564, 22 p. (2024). MSC: 94A12 94A08 90C25 15B52 65K05 PDFBibTeX XMLCite \textit{K. Gao} et al., J. Comput. Appl. Math. 438, Article ID 115564, 22 p. (2024; Zbl 07756769) Full Text: DOI
Wang, Qingsong; Han, Deren A generalized inertial proximal alternating linearized minimization method for nonconvex nonsmooth problems. (English) Zbl 1527.90181 Appl. Numer. Math. 189, 66-87 (2023). MSC: 90C26 90C30 65K10 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{D. Han}, Appl. Numer. Math. 189, 66--87 (2023; Zbl 1527.90181) Full Text: DOI
Sun, Kaizhao; Sun, X. Andy A two-level distributed algorithm for nonconvex constrained optimization. (English) Zbl 1516.90067 Comput. Optim. Appl. 84, No. 2, 609-649 (2023). MSC: 90C26 90C06 90C30 90C35 PDFBibTeX XMLCite \textit{K. Sun} and \textit{X. A. Sun}, Comput. Optim. Appl. 84, No. 2, 609--649 (2023; Zbl 1516.90067) Full Text: DOI arXiv
Zuo, Xinyi; Jiang, Yi Solution methodologies for minimizing a sum of pointwise minima of two functions. (English) Zbl 1511.90391 Optim. Lett. 17, No. 1, 75-87 (2023). MSC: 90C30 PDFBibTeX XMLCite \textit{X. Zuo} and \textit{Y. Jiang}, Optim. Lett. 17, No. 1, 75--87 (2023; Zbl 1511.90391) Full Text: DOI
Wang, Qingsong; Liu, Zehui; Cui, Chunfeng; Han, Deren Inertial accelerated SGD algorithms for solving large-scale lower-rank tensor CP decomposition problems. (English) Zbl 1503.65131 J. Comput. Appl. Math. 423, Article ID 114948, 22 p. (2023). MSC: 65K10 15A72 90C26 90C30 PDFBibTeX XMLCite \textit{Q. Wang} et al., J. Comput. Appl. Math. 423, Article ID 114948, 22 p. (2023; Zbl 1503.65131) Full Text: DOI
Wang, Xiaoquan; Shao, Hu; Liu, Pengjie; Wu, Ting An inertial proximal partially symmetric ADMM-based algorithm for linearly constrained multi-block nonconvex optimization problems with applications. (English) Zbl 1504.90103 J. Comput. Appl. Math. 420, Article ID 114821, 23 p. (2023). MSC: 90C26 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Comput. Appl. Math. 420, Article ID 114821, 23 p. (2023; Zbl 1504.90103) Full Text: DOI
Yang, Yu; Jia, Qing-Shan; Xu, Zhanbo; Guan, Xiaohong; Spanos, Costas J. Proximal ADMM for nonconvex and nonsmooth optimization. (English) Zbl 1506.90184 Automatica 146, Article ID 110551, 13 p. (2022). MSC: 90C15 90C26 PDFBibTeX XMLCite \textit{Y. Yang} et al., Automatica 146, Article ID 110551, 13 p. (2022; Zbl 1506.90184) Full Text: DOI arXiv
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
Zhao, Xueying; Bai, Minru; Sun, Defeng; Zheng, Libin Robust tensor completion: equivalent surrogates, error bounds, and algorithms. (English) Zbl 1497.65080 SIAM J. Imaging Sci. 15, No. 2, 625-669 (2022). MSC: 65F55 15A69 68U10 90C26 PDFBibTeX XMLCite \textit{X. Zhao} et al., SIAM J. Imaging Sci. 15, No. 2, 625--669 (2022; Zbl 1497.65080) Full Text: DOI
Xu, Jiawei; Chao, Miantao An inertial Bregman generalized alternating direction method of multipliers for nonconvex optimization. (English) Zbl 1486.90160 J. Appl. Math. Comput. 68, No. 3, 1-27 (2022). MSC: 90C26 90C30 PDFBibTeX XMLCite \textit{J. Xu} and \textit{M. Chao}, J. Appl. Math. Comput. 68, No. 3, 1--27 (2022; Zbl 1486.90160) Full Text: DOI
Themelis, Andreas; Stella, Lorenzo; Patrinos, Panagiotis Douglas-Rachford splitting and ADMM for nonconvex optimization: accelerated and Newton-type linesearch algorithms. (English) Zbl 1489.90061 Comput. Optim. Appl. 82, No. 2, 395-440 (2022). MSC: 90C06 90C25 90C26 49J52 49J53 PDFBibTeX XMLCite \textit{A. Themelis} et al., Comput. Optim. Appl. 82, No. 2, 395--440 (2022; Zbl 1489.90061) Full Text: DOI arXiv
Han, De-Ren A survey on some recent developments of alternating direction method of multipliers. (English) Zbl 1499.90158 J. Oper. Res. Soc. China 10, No. 1, 1-52 (2022). MSC: 90C25 90C26 90C30 90C33 65K05 PDFBibTeX XMLCite \textit{D.-R. Han}, J. Oper. Res. Soc. China 10, No. 1, 1--52 (2022; Zbl 1499.90158) Full Text: DOI
Tao, Min Minimization of \(L_1\) over \(L_2\) for sparse signal recovery with convergence guarantee. (English) Zbl 1490.90234 SIAM J. Sci. Comput. 44, No. 2, A770-A797 (2022). MSC: 90C26 90C90 49N45 PDFBibTeX XMLCite \textit{M. Tao}, SIAM J. Sci. Comput. 44, No. 2, A770--A797 (2022; Zbl 1490.90234) Full Text: DOI
Jian, Jin Bao; Liu, Peng Jie; Jiang, Xian Zhen A partially symmetric regularized alternating direction method of multipliers for nonconvex multi-block optimization. (Chinese. English summary) Zbl 1513.90142 Acta Math. Sin., Chin. Ser. 64, No. 6, 1005-1026 (2021). MSC: 90C26 90C30 PDFBibTeX XMLCite \textit{J. B. Jian} et al., Acta Math. Sin., Chin. Ser. 64, No. 6, 1005--1026 (2021; Zbl 1513.90142) Full Text: Link
Chao, M. T.; Zhang, Y.; Jian, J. B. An inertial proximal alternating direction method of multipliers for nonconvex optimization. (English) Zbl 1479.90165 Int. J. Comput. Math. 98, No. 6, 1199-1217 (2021). MSC: 90C26 90C30 PDFBibTeX XMLCite \textit{M. T. Chao} et al., Int. J. Comput. Math. 98, No. 6, 1199--1217 (2021; Zbl 1479.90165) Full Text: DOI
Wang, Chao; Tao, Min; Nagy, James G.; Lou, Yifei Limited-angle CT reconstruction via the \(L_1/L_2\) minimization. (English) Zbl 1474.92052 SIAM J. Imaging Sci. 14, No. 2, 749-777 (2021). MSC: 92C55 65K10 68U10 49N45 49M20 PDFBibTeX XMLCite \textit{C. Wang} et al., SIAM J. Imaging Sci. 14, No. 2, 749--777 (2021; Zbl 1474.92052) 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
Dolgopolik, Maksim V. The alternating direction method of multipliers for finding the distance between ellipsoids. (English) Zbl 1497.65046 Appl. Math. Comput. 409, Article ID 126387, 19 p. (2021). MSC: 65D18 68U05 65K10 90C26 PDFBibTeX XMLCite \textit{M. V. Dolgopolik}, Appl. Math. Comput. 409, Article ID 126387, 19 p. (2021; Zbl 1497.65046) Full Text: DOI arXiv
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
Yang, Jun-Feng; Zhang, Yin Local linear convergence of an ADMM-type splitting framework for equality constrained optimization. (English) Zbl 1488.65146 J. Oper. Res. Soc. China 9, No. 2, 307-319 (2021). MSC: 65K05 90C25 90C06 PDFBibTeX XMLCite \textit{J.-F. Yang} and \textit{Y. Zhang}, J. Oper. Res. Soc. China 9, No. 2, 307--319 (2021; Zbl 1488.65146) Full Text: DOI
Yashtini, Maryam Multi-block nonconvex nonsmooth proximal ADMM: convergence and rates under Kurdyka-Łojasiewicz property. (English) Zbl 1478.90099 J. Optim. Theory Appl. 190, No. 3, 966-998 (2021). MSC: 90C26 PDFBibTeX XMLCite \textit{M. Yashtini}, J. Optim. Theory Appl. 190, No. 3, 966--998 (2021; Zbl 1478.90099) Full Text: DOI arXiv
Zhang, Chun; Song, Yongzhong; Cai, Xingju; Han, Deren An extended proximal ADMM algorithm for three-block nonconvex optimization problems. (English) Zbl 1472.90103 J. Comput. Appl. Math. 398, Article ID 113681, 14 p. (2021). MSC: 90C26 PDFBibTeX XMLCite \textit{C. Zhang} et al., J. Comput. Appl. Math. 398, Article ID 113681, 14 p. (2021; Zbl 1472.90103) Full Text: DOI
Jia, Zehui; Gao, Xue; Cai, Xingju; Han, Deren Local linear convergence of the alternating direction method of multipliers for nonconvex separable optimization problems. (English) Zbl 1468.90093 J. Optim. Theory Appl. 188, No. 1, 1-25 (2021). MSC: 90C26 65K10 90C30 PDFBibTeX XMLCite \textit{Z. Jia} et al., J. Optim. Theory Appl. 188, No. 1, 1--25 (2021; Zbl 1468.90093) Full Text: DOI
Jia, Zehui; Huang, Jieru; Wu, Zhongming An incremental aggregated proximal ADMM for linearly constrained nonconvex optimization with application to sparse logistic regression problems. (English) Zbl 1459.90165 J. Comput. Appl. Math. 390, Article ID 113384, 22 p. (2021). MSC: 90C26 PDFBibTeX XMLCite \textit{Z. Jia} et al., J. Comput. Appl. Math. 390, Article ID 113384, 22 p. (2021; Zbl 1459.90165) Full Text: DOI
Chao, Miantao; Deng, Zhao; Jian, Jinbao Convergence of linear Bregman ADMM for nonconvex and nonsmooth problems with nonseparable structure. (English) Zbl 1506.90206 Complexity 2020, Article ID 6237942, 14 p. (2020). MSC: 90C26 PDFBibTeX XMLCite \textit{M. Chao} et al., Complexity 2020, Article ID 6237942, 14 p. (2020; Zbl 1506.90206) Full Text: DOI
Holman, Sean; Richardson, Philip SPECT with a multi-bang assumption on attenuation. (English) Zbl 1454.65154 Inverse Probl. 36, No. 12, Article ID 125005, 31 p. (2020). Reviewer: Antoine Tonnoir (Rouen) MSC: 65N21 44A12 65N06 78A46 78A60 81V80 PDFBibTeX XMLCite \textit{S. Holman} and \textit{P. Richardson}, Inverse Probl. 36, No. 12, Article ID 125005, 31 p. (2020; Zbl 1454.65154) Full Text: DOI arXiv
Boţ, Radu Ioan; Nguyen, Dang-Khoa The proximal alternating direction method of multipliers in the nonconvex setting: convergence analysis and rates. (English) Zbl 1480.90198 Math. Oper. Res. 45, No. 2, 682-712 (2020). Reviewer: Aris Daniilidis (Vienna) MSC: 90C26 47H05 65K05 PDFBibTeX XMLCite \textit{R. I. Boţ} and \textit{D.-K. Nguyen}, Math. Oper. Res. 45, No. 2, 682--712 (2020; Zbl 1480.90198) Full Text: DOI arXiv
Gonçalves, Max L. N.; Melo, Jefferson G.; Monteiro, Renato D. C. On the iteration-complexity of a non-Euclidean hybrid proximal extragradient framework and of a proximal ADMM. (English) Zbl 1433.90203 Optimization 69, No. 4, 847-873 (2020). MSC: 90C60 90C30 90C25 49M27 PDFBibTeX XMLCite \textit{M. L. N. Gonçalves} et al., Optimization 69, No. 4, 847--873 (2020; Zbl 1433.90203) Full Text: DOI
Tu, Kai; Zhang, Haibin; Gao, Huan; Feng, Junkai A hybrid Bregman alternating direction method of multipliers for the linearly constrained difference-of-convex problems. (English) Zbl 1448.90088 J. Glob. Optim. 76, No. 4, 665-693 (2020). Reviewer: Ernö Robert Csetnek (Wien) MSC: 90C30 PDFBibTeX XMLCite \textit{K. Tu} et al., J. Glob. Optim. 76, No. 4, 665--693 (2020; Zbl 1448.90088) Full Text: DOI
Themelis, Andreas; Patrinos, Panagiotis Douglas-Rachford splitting and ADMM for nonconvex optimization: tight convergence results. (English) Zbl 1434.90158 SIAM J. Optim. 30, No. 1, 149-181 (2020). MSC: 90C26 49J52 90C06 90C25 49J53 PDFBibTeX XMLCite \textit{A. Themelis} and \textit{P. Patrinos}, SIAM J. Optim. 30, No. 1, 149--181 (2020; Zbl 1434.90158) Full Text: DOI arXiv
Shang, Kun; Li, Yu-Fan; Huang, Zheng-Hai Iterative \(p\)-shrinkage thresholding algorithm for low Tucker rank tensor recovery. (English) Zbl 1446.68183 Inf. Sci. 482, 374-391 (2019). MSC: 68U10 15A69 PDFBibTeX XMLCite \textit{K. Shang} et al., Inf. Sci. 482, 374--391 (2019; Zbl 1446.68183) Full Text: DOI
Rahimi, Yaghoub; Wang, Chao; Dong, Hongbo; Lou, Yifei A scale-invariant approach for sparse signal recovery. (English) Zbl 1427.94050 SIAM J. Sci. Comput. 41, No. 6, A3649-A3672 (2019). MSC: 94A12 90C90 65K10 49N45 49M20 PDFBibTeX XMLCite \textit{Y. Rahimi} et al., SIAM J. Sci. Comput. 41, No. 6, A3649--A3672 (2019; Zbl 1427.94050) Full Text: DOI arXiv
Li, Min; Wu, Zhongming Convergence analysis of the generalized splitting methods for a class of nonconvex optimization problems. (English) Zbl 1428.90120 J. Optim. Theory Appl. 183, No. 2, 535-565 (2019). MSC: 90C25 90C33 65K05 PDFBibTeX XMLCite \textit{M. Li} and \textit{Z. Wu}, J. Optim. Theory Appl. 183, No. 2, 535--565 (2019; Zbl 1428.90120) Full Text: DOI
Lu, Yue; Huang, Ming; Zhang, Yi; Gu, Jian A nonconvex ADMM for a class of sparse inverse semidefinite quadratic programming problems. (English) Zbl 1415.90090 Optimization 68, No. 6, 1075-1105 (2019). MSC: 90C26 65K05 PDFBibTeX XMLCite \textit{Y. Lu} et al., Optimization 68, No. 6, 1075--1105 (2019; Zbl 1415.90090) Full Text: DOI
Xiu, Xianchao; Liu, Wanquan; Li, Ling; Kong, Lingchen Alternating direction method of multipliers for nonconvex fused regression problems. (English) Zbl 1507.62191 Comput. Stat. Data Anal. 136, 59-71 (2019). MSC: 62-08 62J07 90C26 PDFBibTeX XMLCite \textit{X. Xiu} et al., Comput. Stat. Data Anal. 136, 59--71 (2019; Zbl 1507.62191) Full Text: DOI
Na, Hanwool; Kang, Myeongmin; Jung, Miyoun; Kang, Myungjoo Nonconvex TGV regularization model for multiplicative noise removal with spatially varying parameters. (English) Zbl 1491.94009 Inverse Probl. Imaging 13, No. 1, 117-147 (2019). MSC: 94A08 68U10 65K10 PDFBibTeX XMLCite \textit{H. Na} et al., Inverse Probl. Imaging 13, No. 1, 117--147 (2019; Zbl 1491.94009) Full Text: DOI
Pang, Jong-Shi; Tao, Min Decomposition methods for computing directional stationary solutions of a class of nonsmooth nonconvex optimization problems. (English) Zbl 1397.90316 SIAM J. Optim. 28, No. 2, 1640-1669 (2018). MSC: 90C26 68W20 PDFBibTeX XMLCite \textit{J.-S. Pang} and \textit{M. Tao}, SIAM J. Optim. 28, No. 2, 1640--1669 (2018; Zbl 1397.90316) Full Text: DOI
Li, Yu-Fan; Shang, Kun; Huang, Zheng-Hai Low Tucker rank tensor recovery via ADMM based on exact and inexact iteratively reweighted algorithms. (English) Zbl 1377.65066 J. Comput. Appl. Math. 331, 64-81 (2018). MSC: 65K05 90C26 90C59 PDFBibTeX XMLCite \textit{Y.-F. Li} et al., J. Comput. Appl. Math. 331, 64--81 (2018; Zbl 1377.65066) Full Text: DOI
Guo, Ke; Han, Deren; Wang, David Z. W.; Wu, Tingting Convergence of ADMM for multi-block nonconvex separable optimization models. (English) Zbl 1386.90114 Front. Math. China 12, No. 5, 1139-1162 (2017). MSC: 90C26 65K10 49J52 49M27 PDFBibTeX XMLCite \textit{K. Guo} et al., Front. Math. China 12, No. 5, 1139--1162 (2017; Zbl 1386.90114) Full Text: DOI
Wu, Zhongming; Li, Min; Wang, David Z. W.; Han, Deren A symmetric alternating direction method of multipliers for separable nonconvex minimization problems. (English) Zbl 1383.90028 Asia-Pac. J. Oper. Res. 34, No. 6, Article ID 1750030, 27 p. (2017). MSC: 90C26 PDFBibTeX XMLCite \textit{Z. Wu} et al., Asia-Pac. J. Oper. Res. 34, No. 6, Article ID 1750030, 27 p. (2017; Zbl 1383.90028) Full Text: DOI