Liang, Yan-Chao; Lin, Gui-Hua Relaxed method for optimization problems with cardinality constraints. (English) Zbl 07805313 J. Glob. Optim. 88, No. 2, 359-375 (2024). MSC: 90C30 90C33 90C46 PDFBibTeX XMLCite \textit{Y.-C. Liang} and \textit{G.-H. Lin}, J. Glob. Optim. 88, No. 2, 359--375 (2024; Zbl 07805313) Full Text: DOI
Sun, Zhe; Wu, Lei Hybrid algorithms for finding a D-stationary point of a class of structured nonsmooth DC minimization. (English) Zbl 07801127 SIAM J. Optim. 34, No. 1, 485-506 (2024). MSC: 90C26 90C30 65K05 PDFBibTeX XMLCite \textit{Z. Sun} and \textit{L. Wu}, SIAM J. Optim. 34, No. 1, 485--506 (2024; Zbl 07801127) Full Text: DOI
Shen, Zhengwei; Chen, Qian; Yang, Fan A convex relaxation framework consisting of a primal-dual alternative algorithm for solving \(\ell_0\) sparsity-induced optimization problems with application to signal recovery based image restoration. (English) Zbl 1524.94048 J. Comput. Appl. Math. 421, Article ID 114878, 18 p. (2023). MSC: 94A12 62J07 62J05 90C26 90C90 PDFBibTeX XMLCite \textit{Z. Shen} et al., J. Comput. Appl. Math. 421, Article ID 114878, 18 p. (2023; Zbl 1524.94048) Full Text: DOI
Lu, Zhaosong; Sun, Zhe; Zhou, Zirui Penalty and augmented Lagrangian methods for constrained DC programming. (English) Zbl 1501.90075 Math. Oper. Res. 47, No. 3, 2260-2285 (2022). MSC: 90C26 90C30 65K05 PDFBibTeX XMLCite \textit{Z. Lu} et al., Math. Oper. Res. 47, No. 3, 2260--2285 (2022; Zbl 1501.90075) Full Text: DOI arXiv
Kanzow, Christian; Raharja, Andreas B.; Schwartz, Alexandra Sequential optimality conditions for cardinality-constrained optimization problems with applications. (English) Zbl 1482.90211 Comput. Optim. Appl. 80, No. 1, 185-211 (2021). Reviewer: Efstratios Rappos (Aubonne) MSC: 90C30 90C46 PDFBibTeX XMLCite \textit{C. Kanzow} et al., Comput. Optim. Appl. 80, No. 1, 185--211 (2021; Zbl 1482.90211) Full Text: DOI
Teng, Yue; Yang, Li; Song, Xiaoliang; Yu, Bo An augmented Lagrangian proximal alternating method for sparse discrete optimization problems. (English) Zbl 07171724 Numer. Algorithms 83, No. 3, 833-866 (2020). MSC: 65-XX PDFBibTeX XMLCite \textit{Y. Teng} et al., Numer. Algorithms 83, No. 3, 833--866 (2020; Zbl 07171724) Full Text: DOI
Mencarelli, Luca; D’Ambrosio, Claudia Complex portfolio selection via convex mixed-integer quadratic programming: a survey. (English) Zbl 07770931 Int. Trans. Oper. Res. 26, No. 2, 389-414 (2019). MSC: 90-XX PDFBibTeX XMLCite \textit{L. Mencarelli} and \textit{C. D'Ambrosio}, Int. Trans. Oper. Res. 26, No. 2, 389--414 (2019; Zbl 07770931) Full Text: DOI
Dong, Hongbo; Ahn, Miju; Pang, Jong-Shi Structural properties of affine sparsity constraints. (English) Zbl 1415.90087 Math. Program. 176, No. 1-2 (B), 95-135 (2019). MSC: 90C26 90C90 62J05 PDFBibTeX XMLCite \textit{H. Dong} et al., Math. Program. 176, No. 1--2 (B), 95--135 (2019; Zbl 1415.90087) Full Text: DOI
Kanno, Yoshihiro; Fujita, Shinnosuke Alternating direction method of multipliers for truss topology optimization with limited number of nodes: a cardinality-constrained second-order cone programming approach. (English) Zbl 1397.74163 Optim. Eng. 19, No. 2, 327-358 (2018). MSC: 74P15 90C90 90C22 PDFBibTeX XMLCite \textit{Y. Kanno} and \textit{S. Fujita}, Optim. Eng. 19, No. 2, 327--358 (2018; Zbl 1397.74163) Full Text: DOI arXiv
Branda, Martin; Bucher, Max; Červinka, Michal; Schwartz, Alexandra Convergence of a Scholtes-type regularization method for cardinality-constrained optimization problems with an application in sparse robust portfolio optimization. (English) Zbl 1418.90252 Comput. Optim. Appl. 70, No. 2, 503-530 (2018). MSC: 90C30 91G10 PDFBibTeX XMLCite \textit{M. Branda} et al., Comput. Optim. Appl. 70, No. 2, 503--530 (2018; Zbl 1418.90252) Full Text: DOI arXiv
Gotoh, Jun-ya; Takeda, Akiko; Tono, Katsuya DC formulations and algorithms for sparse optimization problems. (English) Zbl 06869181 Math. Program. 169, No. 1 (B), 141-176 (2018). MSC: 47A30 90C20 90C26 90C90 PDFBibTeX XMLCite \textit{J.-y. Gotoh} et al., Math. Program. 169, No. 1 (B), 141--176 (2018; Zbl 06869181) Full Text: DOI
Fakhar, Majid; Mahyarinia, Mohammad Reza; Zafarani, Jafar On nonsmooth robust multiobjective optimization under generalized convexity with applications to portfolio optimization. (English) Zbl 1374.90335 Eur. J. Oper. Res. 265, No. 1, 39-48 (2018). MSC: 90C29 90C46 PDFBibTeX XMLCite \textit{M. Fakhar} et al., Eur. J. Oper. Res. 265, No. 1, 39--48 (2018; Zbl 1374.90335) Full Text: DOI
Teng, Yue; Yang, Li; Yu, Bo; Song, Xiaoliang A penalty PALM method for sparse portfolio selection problems. (English) Zbl 1366.91162 Optim. Methods Softw. 32, No. 1, 126-147 (2017). MSC: 91G60 65K05 90C26 90C30 91G10 PDFBibTeX XMLCite \textit{Y. Teng} et al., Optim. Methods Softw. 32, No. 1, 126--147 (2017; Zbl 1366.91162) Full Text: DOI
Červinka, Michal; Kanzow, Christian; Schwartz, Alexandra Constraint qualifications and optimality conditions for optimization problems with cardinality constraints. (English) Zbl 1356.90146 Math. Program. 160, No. 1-2 (A), 353-377 (2016). Reviewer: Stephan Dempe (Freiberg) MSC: 90C33 90C46 90C26 PDFBibTeX XMLCite \textit{M. Červinka} et al., Math. Program. 160, No. 1--2 (A), 353--377 (2016; Zbl 1356.90146) Full Text: DOI
Burdakov, Oleg P.; Kanzow, Christian; Schwartz, Alexandra Mathematical programs with cardinality constraints: reformulation by complementarity-type conditions and a regularization method. (English) Zbl 1332.90220 SIAM J. Optim. 26, No. 1, 397-425 (2016). MSC: 90C27 90C30 90C46 65K05 PDFBibTeX XMLCite \textit{O. P. Burdakov} et al., SIAM J. Optim. 26, No. 1, 397--425 (2016; Zbl 1332.90220) Full Text: DOI Link