Zhang, Zhenwei; Chang, Huibin; Duan, Yuping Fast non-overlapping domain decomposition methods for continuous multi-phase labeling problem. (English) Zbl 07766137 J. Sci. Comput. 97, No. 3, Paper No. 67, 29 p. (2023). MSC: 65Kxx 94Axx 65Nxx PDFBibTeX XMLCite \textit{Z. Zhang} et al., J. Sci. Comput. 97, No. 3, Paper No. 67, 29 p. (2023; Zbl 07766137) Full Text: DOI
Zhu, Zhenyuan; Chen, Fan; Zhang, Junyu; Wen, Zaiwen A unified primal-dual algorithm framework for inequality constrained problems. (English) Zbl 1522.90112 J. Sci. Comput. 97, No. 2, Paper No. 39, 39 p. (2023). MSC: 90C25 90C46 90C47 90C60 PDFBibTeX XMLCite \textit{Z. Zhu} et al., J. Sci. Comput. 97, No. 2, Paper No. 39, 39 p. (2023; Zbl 1522.90112) Full Text: DOI arXiv
Liang, Xiubo; Wang, Guoqiang; Yu, Bo A reduced half thresholding algorithm. (English) Zbl 07720244 J. Sci. Comput. 96, No. 2, Paper No. 61, 27 p. (2023). MSC: 90C30 90C20 PDFBibTeX XMLCite \textit{X. Liang} et al., J. Sci. Comput. 96, No. 2, Paper No. 61, 27 p. (2023; Zbl 07720244) Full Text: DOI
Li, Hongyi; Peng, Zhen; Pan, Chengwei; Zhao, Di Fast gradient method for low-rank matrix estimation. (English) Zbl 1527.65026 J. Sci. Comput. 96, No. 2, Paper No. 41, 35 p. (2023). MSC: 65F55 PDFBibTeX XMLCite \textit{H. Li} et al., J. Sci. Comput. 96, No. 2, Paper No. 41, 35 p. (2023; Zbl 1527.65026) Full Text: DOI arXiv
Bian, Wei; Wu, Fan Accelerated smoothing hard thresholding algorithms for \(\ell_0\) regularized nonsmooth convex regression problem. (English) Zbl 1522.90193 J. Sci. Comput. 96, No. 2, Paper No. 33, 30 p. (2023). MSC: 90C30 65K05 49J52 49M37 PDFBibTeX XMLCite \textit{W. Bian} and \textit{F. Wu}, J. Sci. Comput. 96, No. 2, Paper No. 33, 30 p. (2023; Zbl 1522.90193) Full Text: DOI
Yang, Yijie; Li, Yutong; Wu, Chunlin; Duan, Yuping A convergent iterative support shrinking algorithm for non-Lipschitz multi-phase image labeling model. (English) Zbl 07708324 J. Sci. Comput. 96, No. 2, Paper No. 47, 29 p. (2023). MSC: 68U10 94A08 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Sci. Comput. 96, No. 2, Paper No. 47, 29 p. (2023; Zbl 07708324) Full Text: DOI
Kheirfam, B. Corrector-predictor interior-point method with new search direction for semidefinite optimization. (English) Zbl 1519.90154 J. Sci. Comput. 95, No. 1, Paper No. 10, 18 p. (2023). MSC: 90C22 90C51 PDFBibTeX XMLCite \textit{B. Kheirfam}, J. Sci. Comput. 95, No. 1, Paper No. 10, 18 p. (2023; Zbl 1519.90154) Full Text: DOI
Yang, Jinda; Song, Haiming; Li, Xinxin; Hou, Di Block mirror stochastic gradient method for stochastic optimization. (English) Zbl 1519.90143 J. Sci. Comput. 94, No. 3, Paper No. 69, 30 p. (2023). MSC: 90C15 PDFBibTeX XMLCite \textit{J. Yang} et al., J. Sci. Comput. 94, No. 3, Paper No. 69, 30 p. (2023; Zbl 1519.90143) Full Text: DOI
Nie, Jiawang; Yang, Liu; Zhong, Suhan; Zhou, Guangming Distributionally robust optimization with moment ambiguity sets. (English) Zbl 1509.90142 J. Sci. Comput. 94, No. 1, Paper No. 12, 27 p. (2023). MSC: 90C23 90C17 90C22 PDFBibTeX XMLCite \textit{J. Nie} et al., J. Sci. Comput. 94, No. 1, Paper No. 12, 27 p. (2023; Zbl 1509.90142) Full Text: DOI arXiv
Cheng, Wanyou; Wang, Xiao; Chen, Xiaojun An interior stochastic gradient method for a class of non-Lipschitz optimization problems. (English) Zbl 1492.90083 J. Sci. Comput. 92, No. 2, Paper No. 42, 28 p. (2022). MSC: 90C06 90C25 65Y20 94A08 PDFBibTeX XMLCite \textit{W. Cheng} et al., J. Sci. Comput. 92, No. 2, Paper No. 42, 28 p. (2022; Zbl 1492.90083) Full Text: DOI
Zeng, Jinshan; Yin, Wotao; Zhou, Ding-Xuan Moreau envelope augmented Lagrangian method for nonconvex optimization with linear constraints. (English) Zbl 1494.90091 J. Sci. Comput. 91, No. 2, Paper No. 61, 36 p. (2022). MSC: 90C26 PDFBibTeX XMLCite \textit{J. Zeng} et al., J. Sci. Comput. 91, No. 2, Paper No. 61, 36 p. (2022; Zbl 1494.90091) Full Text: DOI arXiv
Hou, Liangshao; Qian, Xun; Liao, Li-Zhi; Sun, Jie An interior point parameterized central path following algorithm for linearly constrained convex programming. (English) Zbl 1486.90144 J. Sci. Comput. 90, No. 3, Paper No. 95, 31 p. (2022). MSC: 90C25 90C30 90C51 90C60 PDFBibTeX XMLCite \textit{L. Hou} et al., J. Sci. Comput. 90, No. 3, Paper No. 95, 31 p. (2022; Zbl 1486.90144) Full Text: DOI
Wang, Weina; Chen, Yunmei An accelerated smoothing gradient method for nonconvex nonsmooth minimization in image processing. (English) Zbl 1483.65102 J. Sci. Comput. 90, No. 1, Paper No. 31, 28 p. (2022). MSC: 65K05 65F22 94A08 90C26 PDFBibTeX XMLCite \textit{W. Wang} and \textit{Y. Chen}, J. Sci. Comput. 90, No. 1, Paper No. 31, 28 p. (2022; Zbl 1483.65102) Full Text: DOI
Li, Minghui; Li, Wen; Chen, Yannan; Xiao, Mingqing The nonconvex tensor robust principal component analysis approximation model via the weighted \(\ell_p\)-norm regularization. (English) Zbl 1484.62074 J. Sci. Comput. 89, No. 3, Paper No. 67, 37 p. (2021). MSC: 62H25 65K05 15A69 65F55 PDFBibTeX XMLCite \textit{M. Li} et al., J. Sci. Comput. 89, No. 3, Paper No. 67, 37 p. (2021; Zbl 1484.62074) Full Text: DOI
Bellavia, Stefania; Gondzio, Jacek; Porcelli, Margherita A relaxed interior point method for low-rank semidefinite programming problems with applications to matrix completion. (English) Zbl 1479.90152 J. Sci. Comput. 89, No. 2, Paper No. 46, 36 p. (2021). MSC: 90C22 90C51 65F10 65F50 PDFBibTeX XMLCite \textit{S. Bellavia} et al., J. Sci. Comput. 89, No. 2, Paper No. 46, 36 p. (2021; Zbl 1479.90152) Full Text: DOI arXiv
Kheirfam, B. A polynomial-iteration infeasible interior-point algorithm with arc-search for semidefinite optimization. (English) Zbl 1476.90232 J. Sci. Comput. 88, No. 3, Paper No. 89, 23 p. (2021). MSC: 90C22 90C51 PDFBibTeX XMLCite \textit{B. Kheirfam}, J. Sci. Comput. 88, No. 3, Paper No. 89, 23 p. (2021; Zbl 1476.90232) Full Text: DOI
Wu, Caiying; Wang, Jing; Alcantara, Jan Harold; Chen, Jein-Shan Smoothing strategy along with conjugate gradient algorithm for signal reconstruction. (English) Zbl 1462.90143 J. Sci. Comput. 87, No. 1, Paper No. 21, 18 p. (2021). MSC: 90C33 PDFBibTeX XMLCite \textit{C. Wu} et al., J. Sci. Comput. 87, No. 1, Paper No. 21, 18 p. (2021; Zbl 1462.90143) Full Text: DOI
Xie, Yue; Wright, Stephen J. Complexity of proximal augmented Lagrangian for nonconvex optimization with nonlinear equality constraints. (English) Zbl 1514.90193 J. Sci. Comput. 86, No. 3, Paper No. 38, 31 p. (2021). MSC: 90C26 68Q25 90C30 90C60 PDFBibTeX XMLCite \textit{Y. Xie} and \textit{S. J. Wright}, J. Sci. Comput. 86, No. 3, Paper No. 38, 31 p. (2021; Zbl 1514.90193) Full Text: DOI arXiv
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
Ding, Weiyang; Ng, Michael K.; Zhang, Wenxing A Peaceman-Rachford splitting method with monotone plus skew-symmetric splitting for nonlinear saddle point problems. (English) Zbl 1436.65074 J. Sci. Comput. 81, No. 2, 763-788 (2019). MSC: 65K10 65F10 46N10 47N10 68U10 PDFBibTeX XMLCite \textit{W. Ding} et al., J. Sci. Comput. 81, No. 2, 763--788 (2019; Zbl 1436.65074) Full Text: DOI
Yuan, Honglin; Gu, Xiaoyi; Lai, Rongjie; Wen, Zaiwen Global optimization with orthogonality constraints via stochastic diffusion on manifold. (English) Zbl 1418.90206 J. Sci. Comput. 80, No. 2, 1139-1170 (2019). MSC: 90C26 65K05 49Q99 PDFBibTeX XMLCite \textit{H. Yuan} et al., J. Sci. Comput. 80, No. 2, 1139--1170 (2019; Zbl 1418.90206) Full Text: DOI arXiv
Wang, Yu; Yin, Wotao; Zeng, Jinshan Global convergence of ADMM in nonconvex nonsmooth optimization. (English) Zbl 1462.65072 J. Sci. Comput. 78, No. 1, 29-63 (2019). Reviewer: Aris Daniilidis (Santiago) MSC: 65K05 90C26 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Sci. Comput. 78, No. 1, 29--63 (2019; Zbl 1462.65072) Full Text: DOI arXiv
Gao, Xiang; Jiang, Bo; Zhang, Shuzhong On the information-adaptive variants of the ADMM: an iteration complexity perspective. (English) Zbl 1394.90447 J. Sci. Comput. 76, No. 1, 327-363 (2018). MSC: 90C15 90C25 68Q25 62L20 PDFBibTeX XMLCite \textit{X. Gao} et al., J. Sci. Comput. 76, No. 1, 327--363 (2018; Zbl 1394.90447) Full Text: DOI
Lin, Tianyi; Ma, Shiqian; Zhang, Shuzhong Global convergence of unmodified 3-block ADMM for a class of convex minimization problems. (English) Zbl 1415.65140 J. Sci. Comput. 76, No. 1, 69-88 (2018). MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{T. Lin} et al., J. Sci. Comput. 76, No. 1, 69--88 (2018; Zbl 1415.65140) Full Text: DOI arXiv
Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao Parallel multi-block ADMM with \(o(1/k)\) convergence. (English) Zbl 1398.65121 J. Sci. Comput. 71, No. 2, 712-736 (2017). Reviewer: Hang Lau (Montréal) MSC: 65K05 PDFBibTeX XMLCite \textit{W. Deng} et al., J. Sci. Comput. 71, No. 2, 712--736 (2017; Zbl 1398.65121) Full Text: DOI arXiv
Robinson, Daniel P.; Tappenden, Rachael A flexible ADMM algorithm for big data applications. (English) Zbl 1385.49020 J. Sci. Comput. 71, No. 1, 435-467 (2017). MSC: 49M15 49M37 58C15 65K05 65K10 65Y20 68Q25 90C30 90C60 PDFBibTeX XMLCite \textit{D. P. Robinson} and \textit{R. Tappenden}, J. Sci. Comput. 71, No. 1, 435--467 (2017; Zbl 1385.49020) Full Text: DOI arXiv
Li, Qia; Xu, Yuesheng; Zhang, Na Two-step fixed-point proximity algorithms for multi-block separable convex problems. (English) Zbl 1368.65088 J. Sci. Comput. 70, No. 3, 1204-1228 (2017). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{Q. Li} et al., J. Sci. Comput. 70, No. 3, 1204--1228 (2017; Zbl 1368.65088) Full Text: DOI arXiv
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
He, Bingsheng; Xu, Hong-Kun; Yuan, Xiaoming On the proximal Jacobian decomposition of ALM for multiple-block separable convex minimization problems and its relationship to ADMM. (English) Zbl 1371.65052 J. Sci. Comput. 66, No. 3, 1204-1217 (2016). MSC: 65K05 90C25 65K15 49J40 PDFBibTeX XMLCite \textit{B. He} et al., J. Sci. Comput. 66, No. 3, 1204--1217 (2016; Zbl 1371.65052) Full Text: DOI
Lin, Tianyi; Ma, Shiqian; Zhang, Shuzhong Iteration complexity analysis of multi-block ADMM for a family of convex minimization without strong convexity. (English) Zbl 1348.90522 J. Sci. Comput. 69, No. 1, 52-81 (2016). MSC: 90C25 90C30 PDFBibTeX XMLCite \textit{T. Lin} et al., J. Sci. Comput. 69, No. 1, 52--81 (2016; Zbl 1348.90522) Full Text: DOI arXiv
Lou, Yifei; Yin, Penghang; Xin, Jack Point source super-resolution via non-convex \(L_1\) based methods. (English) Zbl 1354.65125 J. Sci. Comput. 68, No. 3, 1082-1100 (2016). Reviewer: Manfred Tasche (Rostock) MSC: 65K05 94A12 65J22 65T40 90C26 PDFBibTeX XMLCite \textit{Y. Lou} et al., J. Sci. Comput. 68, No. 3, 1082--1100 (2016; Zbl 1354.65125) Full Text: DOI
Wu, Lei; Sun, Zhe; Li, Dong-Hui A Barzilai-Borwein-like iterative half thresholding algorithm for the \(L_{1/2}\) regularized problem. (English) Zbl 1343.65039 J. Sci. Comput. 67, No. 2, 581-601 (2016). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F22 90C26 90C06 65K05 65Y20 PDFBibTeX XMLCite \textit{L. Wu} et al., J. Sci. Comput. 67, No. 2, 581--601 (2016; Zbl 1343.65039) Full Text: DOI
Jin, Zheng-Fen; Wan, Zhongping; Jiao, Yuling; Lu, Xiliang An alternating direction method with continuation for nonconvex low rank minimization. (English) Zbl 1342.65144 J. Sci. Comput. 66, No. 2, 849-869 (2016). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C26 PDFBibTeX XMLCite \textit{Z.-F. Jin} et al., J. Sci. Comput. 66, No. 2, 849--869 (2016; Zbl 1342.65144) Full Text: DOI
Stefan, Wolfgang; Chen, Kewei; Guo, Hongbin; Renaut, Rosemary A.; Roudenko, Svetlana Wavelet-based de-noising of positron emission tomography scans. (English) Zbl 1244.92037 J. Sci. Comput. 50, No. 3, 665-677 (2012). MSC: 92C55 42C40 65T60 94A08 PDFBibTeX XMLCite \textit{W. Stefan} et al., J. Sci. Comput. 50, No. 3, 665--677 (2012; Zbl 1244.92037) Full Text: DOI Link
Stefan, W.; Viswanathan, A.; Gelb, A.; Renaut, R. Sparsity enforcing edge detection method for blurred and noisy Fourier data. (English) Zbl 1244.65252 J. Sci. Comput. 50, No. 3, 536-556 (2012). MSC: 65T40 42A16 PDFBibTeX XMLCite \textit{W. Stefan} et al., J. Sci. Comput. 50, No. 3, 536--556 (2012; Zbl 1244.65252) Full Text: DOI Link