Bareilles, Gilles; Iutzeler, Franck; Malick, Jérôme Harnessing structure in composite nonsmooth minimization. (English) Zbl 07734880 SIAM J. Optim. 33, No. 3, 2222-2247 (2023). MSC: 65K10 90C26 49Q12 90C55 PDFBibTeX XMLCite \textit{G. Bareilles} et al., SIAM J. Optim. 33, No. 3, 2222--2247 (2023; Zbl 07734880) Full Text: DOI arXiv
Atenas, Felipe; Sagastizábal, Claudia A bundle-like progressive hedging algorithm. (English) Zbl 1522.90191 J. Convex Anal. 30, No. 2, 453-479 (2023). MSC: 90C30 90C33 90C55 65K05 PDFBibTeX XMLCite \textit{F. Atenas} and \textit{C. Sagastizábal}, J. Convex Anal. 30, No. 2, 453--479 (2023; Zbl 1522.90191) Full Text: Link
Pang, Liping; Wang, Xiaoliang; Meng, Fanyun A proximal bundle method for a class of nonconvex nonsmooth composite optimization problems. (English) Zbl 1515.65160 J. Glob. Optim. 86, No. 3, 589-620 (2023). MSC: 65K05 90C26 PDFBibTeX XMLCite \textit{L. Pang} et al., J. Glob. Optim. 86, No. 3, 589--620 (2023; Zbl 1515.65160) Full Text: DOI
Atenas, Felipe; Sagastizábal, Claudia; Silva, Paulo J. S.; Solodov, Mikhail A unified analysis of descent sequences in weakly convex optimization, including convergence rates for bundle methods. (English) Zbl 1516.90094 SIAM J. Optim. 33, No. 1, 89-115 (2023). MSC: 90C30 90C33 90C55 65K05 PDFBibTeX XMLCite \textit{F. Atenas} et al., SIAM J. Optim. 33, No. 1, 89--115 (2023; Zbl 1516.90094) Full Text: DOI
Wang, Xiaoliang; Pang, Liping; Wu, Qi A proximal bundle method with exact penalty technique and bundle modification strategy for nonconvex nonsmooth constrained optimization. (English) Zbl 1493.90152 Asia-Pac. J. Oper. Res. 39, No. 2, Article ID 2150015, 43 p. (2022). MSC: 90C26 PDFBibTeX XMLCite \textit{X. Wang} et al., Asia-Pac. J. Oper. Res. 39, No. 2, Article ID 2150015, 43 p. (2022; Zbl 1493.90152) Full Text: DOI
Christof, Constantin; De los Reyes, Juan Carlos; Meyer, Christian A nonsmooth trust-region method for locally Lipschitz functions with application to optimization problems constrained by variational inequalities. (English) Zbl 1446.49006 SIAM J. Optim. 30, No. 3, 2163-2196 (2020). MSC: 49J40 49J52 65K05 90C26 90C56 PDFBibTeX XMLCite \textit{C. Christof} et al., SIAM J. Optim. 30, No. 3, 2163--2196 (2020; Zbl 1446.49006) Full Text: DOI arXiv
Liu, Shuai; Eberhard, Andrew; Luo, Yousong The \(\mathcal{U}\)-Lagrangian, fast track, and partial smoothness of a prox-regular function. (English) Zbl 1441.49020 Set-Valued Var. Anal. 28, No. 2, 369-394 (2020). MSC: 49J52 58C20 90C31 49K35 PDFBibTeX XMLCite \textit{S. Liu} et al., Set-Valued Var. Anal. 28, No. 2, 369--394 (2020; Zbl 1441.49020) Full Text: DOI
Hare, Warren; Planiden, Chayne; Sagastizábal, Claudia A derivative-free \(\mathcal{V} \mathcal{U}\)-algorithm for convex finite-max problems. (English) Zbl 1443.90331 Optim. Methods Softw. 35, No. 3, 521-559 (2020). Reviewer: Nada Djuranović-Miličić (Beograd) MSC: 90C56 65K10 90C20 PDFBibTeX XMLCite \textit{W. Hare} et al., Optim. Methods Softw. 35, No. 3, 521--559 (2020; Zbl 1443.90331) Full Text: DOI arXiv
Wu, Qiong; Wang, Jin-He; Zhang, Hong-Wei; Wang, Shuang; Pang, Li-Ping Nonsmooth optimization method for \(H_\infty\) output feedback control. (English) Zbl 1418.90266 Asia-Pac. J. Oper. Res. 36, No. 3, Article ID 1950015, 23 p. (2019). MSC: 90C34 90C26 PDFBibTeX XMLCite \textit{Q. Wu} et al., Asia-Pac. J. Oper. Res. 36, No. 3, Article ID 1950015, 23 p. (2019; Zbl 1418.90266) Full Text: DOI
Hare, W.; Planiden, C. Computing proximal points of convex functions with inexact subgradients. (English) Zbl 1401.49039 Set-Valued Var. Anal. 26, No. 3, 469-492 (2018). MSC: 49M30 65K10 90C20 90C56 PDFBibTeX XMLCite \textit{W. Hare} and \textit{C. Planiden}, Set-Valued Var. Anal. 26, No. 3, 469--492 (2018; Zbl 1401.49039) Full Text: DOI arXiv
Apkarian, Pierre; Noll, Dominikus; Ravanbod, Laleh Non-smooth optimization for robust control of infinite-dimensional systems. (English) Zbl 1393.90138 Set-Valued Var. Anal. 26, No. 2, 405-429 (2018). MSC: 90C56 49J52 93C80 93C20 PDFBibTeX XMLCite \textit{P. Apkarian} et al., Set-Valued Var. Anal. 26, No. 2, 405--429 (2018; Zbl 1393.90138) Full Text: DOI arXiv
Wang, X. M. Subgradient algorithms on Riemannian manifolds of lower bounded curvatures. (English) Zbl 1398.90125 Optimization 67, No. 1, 179-194 (2018). MSC: 90C25 90C48 PDFBibTeX XMLCite \textit{X. M. Wang}, Optimization 67, No. 1, 179--194 (2018; Zbl 1398.90125) Full Text: DOI
Bello Cruz, José Yunier On proximal subgradient splitting method for minimizing the sum of two nonsmooth convex functions. (English) Zbl 1365.65160 Set-Valued Var. Anal. 25, No. 2, 245-263 (2017). MSC: 65K05 90C25 90C30 PDFBibTeX XMLCite \textit{J. Y. Bello Cruz}, Set-Valued Var. Anal. 25, No. 2, 245--263 (2017; Zbl 1365.65160) Full Text: DOI arXiv
Huang, Ming; Pang, Li-Ping; Lu, Yuan; Xia, Zun-Quan A fast space-decomposition scheme for nonconvex eigenvalue optimization. (English) Zbl 1360.90212 Set-Valued Var. Anal. 25, No. 1, 43-67 (2017). MSC: 90C26 49J52 15A18 90C30 PDFBibTeX XMLCite \textit{M. Huang} et al., Set-Valued Var. Anal. 25, No. 1, 43--67 (2017; Zbl 1360.90212) Full Text: DOI
Alvarez, Felipe; López, Julio Interior proximal bundle algorithm with variable metric for nonsmooth convex symmetric cone programming. (English) Zbl 1396.90059 Optimization 65, No. 9, 1757-1779 (2016). MSC: 90C25 PDFBibTeX XMLCite \textit{F. Alvarez} and \textit{J. López}, Optimization 65, No. 9, 1757--1779 (2016; Zbl 1396.90059) Full Text: DOI
Lewis, A. S.; Wright, S. J. A proximal method for composite minimization. (English) Zbl 1345.49041 Math. Program. 158, No. 1-2 (A), 501-546 (2016). MSC: 49M37 90C30 PDFBibTeX XMLCite \textit{A. S. Lewis} and \textit{S. J. Wright}, Math. Program. 158, No. 1--2 (A), 501--546 (2016; Zbl 1345.49041) Full Text: DOI arXiv
Hu, Yaohua; Li, Chong; Yang, Xiaoqi On convergence rates of linearized proximal algorithms for convex composite optimization with applications. (English) Zbl 1338.65159 SIAM J. Optim. 26, No. 2, 1207-1235 (2016). MSC: 65K05 90C26 PDFBibTeX XMLCite \textit{Y. Hu} et al., SIAM J. Optim. 26, No. 2, 1207--1235 (2016; Zbl 1338.65159) Full Text: DOI Link
de Oliveira, Welington; Solodov, Mikhail A doubly stabilized bundle method for nonsmooth convex optimization. (English) Zbl 1346.90675 Math. Program. 156, No. 1-2 (A), 125-159 (2016). Reviewer: Do Van Luu (Hanoi) MSC: 90C25 90C30 65K05 PDFBibTeX XMLCite \textit{W. de Oliveira} and \textit{M. Solodov}, Math. Program. 156, No. 1--2 (A), 125--159 (2016; Zbl 1346.90675) Full Text: DOI
Apkarian, Pierre; Noll, Dominikus; Ravanbod, Laleh Nonsmooth bundle trust-region algorithm with applications to robust stability. (English) Zbl 1334.49092 Set-Valued Var. Anal. 24, No. 1, 115-148 (2016). MSC: 49M30 49J52 90C26 93D09 93B60 93B36 PDFBibTeX XMLCite \textit{P. Apkarian} et al., Set-Valued Var. Anal. 24, No. 1, 115--148 (2016; Zbl 1334.49092) Full Text: DOI arXiv
Lv, Jian; Pang, Li-Ping; Wang, Jin-He Special backtracking proximal bundle method for nonconvex maximum eigenvalue optimization. (English) Zbl 1410.90148 Appl. Math. Comput. 265, 635-651 (2015). MSC: 90C22 90C26 49J52 49M05 65K10 PDFBibTeX XMLCite \textit{J. Lv} et al., Appl. Math. Comput. 265, 635--651 (2015; Zbl 1410.90148) Full Text: DOI
de Oliveira, W.; Sagastizábal, C.; Lemaréchal, C. Convex proximal bundle methods in depth: a unified analysis for inexact oracles. (English) Zbl 1327.90321 Math. Program. 148, No. 1-2 (B), 241-277 (2014). Reviewer: Gerhard-Wilhelm Weber (Ankara) MSC: 90C30 PDFBibTeX XMLCite \textit{W. de Oliveira} et al., Math. Program. 148, No. 1--2 (B), 241--277 (2014; Zbl 1327.90321) Full Text: DOI
Frangioni, Antonio; Gorgone, Enrico Bundle methods for sum-functions with “easy” components: applications to multicommodity network design. (English) Zbl 1300.90027 Math. Program. 145, No. 1-2 (A), 133-161 (2014). MSC: 90C25 90C06 PDFBibTeX XMLCite \textit{A. Frangioni} and \textit{E. Gorgone}, Math. Program. 145, No. 1--2 (A), 133--161 (2014; Zbl 1300.90027) Full Text: DOI
Noll, Dominikus Bundle method for non-convex minimization with inexact subgradients and function values. (English) Zbl 1282.90241 Bailey, David H. (ed.) et al., Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. New York, NY: Springer (ISBN 978-1-4614-7620-7/hbk; 978-1-4614-7621-4/ebook). Springer Proceedings in Mathematics & Statistics 50, 555-592 (2013). MSC: 90C56 49J52 65K05 65K10 PDFBibTeX XMLCite \textit{D. Noll}, Springer Proc. Math. Stat. 50, 555--592 (2013; Zbl 1282.90241) Full Text: DOI
Lewis, Adrian S.; Overton, Michael L. Nonsmooth optimization via quasi-Newton methods. (English) Zbl 1280.90118 Math. Program. 141, No. 1-2 (A), 135-163 (2013). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{A. S. Lewis} and \textit{M. L. Overton}, Math. Program. 141, No. 1--2 (A), 135--163 (2013; Zbl 1280.90118) Full Text: DOI