Attouch, Hedy; Boţ, Radu Ioan; Csetnek, Ernö Robert Fast optimization via inertial dynamics with closed-loop damping. (English) Zbl 1523.37103 J. Eur. Math. Soc. (JEMS) 25, No. 5, 1985-2056 (2023). MSC: 37N40 46N10 49M15 65K05 65K10 90C25 PDFBibTeX XMLCite \textit{H. Attouch} et al., J. Eur. Math. Soc. (JEMS) 25, No. 5, 1985--2056 (2023; Zbl 1523.37103) Full Text: DOI arXiv
Boţ, Radu Ioan; Csetnek, Ernö Robert; Nguyen, Dang-Khoa Fast augmented Lagrangian method in the convex regime with convergence guarantees for the iterates. (English) Zbl 1519.37068 Math. Program. 200, No. 1 (A), 147-197 (2023). MSC: 37J51 37M99 49K15 49M29 65K05 68Q25 90C25 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., Math. Program. 200, No. 1 (A), 147--197 (2023; Zbl 1519.37068) Full Text: DOI arXiv
Csetnek, Ernö Robert Continuous dynamics related to monotone inclusions and non-smooth optimization problems. (English) Zbl 1471.34123 Set-Valued Var. Anal. 28, No. 4, 611-642 (2020). Reviewer: Zhenbin Fan (Jiangsu) MSC: 34G25 47J25 47H05 34-02 34D05 90C26 90C48 PDFBibTeX XMLCite \textit{E. R. Csetnek}, Set-Valued Var. Anal. 28, No. 4, 611--642 (2020; Zbl 1471.34123) Full Text: DOI arXiv
Bitterlich, Sandy; Csetnek, Ernö Robert; Wanka, Gert A dynamical approach to two-block separable convex optimization problems with linear constraints. (English) Zbl 1470.90073 Numer. Funct. Anal. Optim. 42, No. 1, 1-38 (2020). Reviewer: Sorin-Mihai Grad (Wien) MSC: 90C25 90C46 65K10 PDFBibTeX XMLCite \textit{S. Bitterlich} et al., Numer. Funct. Anal. Optim. 42, No. 1, 1--38 (2020; Zbl 1470.90073) Full Text: DOI arXiv
Boţ, Radu Ioan; Csetnek, Ernö Robert; László, Szilárd Csaba A second-order dynamical approach with variable damping to nonconvex smooth minimization. (English) Zbl 1428.90129 Appl. Anal. 99, No. 3, 361-378 (2020); erratum ibid. 99, No. 3, 548 (2020). MSC: 90C26 90C30 65K10 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., Appl. Anal. 99, No. 3, 361--378 (2020; Zbl 1428.90129) Full Text: DOI
Boţ, Radu Ioan; Csetnek, Ernö Robert; Nguyen, Dang-Khoa A proximal minimization algorithm for structured nonconvex and nonsmooth problems. (English) Zbl 1431.65088 SIAM J. Optim. 29, No. 2, 1300-1328 (2019). MSC: 65K10 90C26 90C30 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., SIAM J. Optim. 29, No. 2, 1300--1328 (2019; Zbl 1431.65088) Full Text: DOI arXiv
Bitterlich, Sandy; Boţ, Radu Ioan; Csetnek, Ernö Robert; Wanka, Gert The proximal alternating minimization algorithm for two-block separable convex optimization problems with linear constraints. (English) Zbl 07088318 J. Optim. Theory Appl. 182, No. 1, 110-132 (2019). MSC: 47H05 65K05 90C25 PDFBibTeX XMLCite \textit{S. Bitterlich} et al., J. Optim. Theory Appl. 182, No. 1, 110--132 (2019; Zbl 07088318) Full Text: DOI arXiv
Boţ, Radu Ioan; Csetnek, Ernö Robert ADMM for monotone operators: convergence analysis and rates. (English) Zbl 07055804 Adv. Comput. Math. 45, No. 1, 327-359 (2019). MSC: 47H05 65K05 90C25 PDFBibTeX XMLCite \textit{R. I. Boţ} and \textit{E. R. Csetnek}, Adv. Comput. Math. 45, No. 1, 327--359 (2019; Zbl 07055804) Full Text: DOI arXiv
Boţ, Radu Ioan; Csetnek, Ernö Robert A forward-backward dynamical approach to the minimization of the sum of a nonsmooth convex with a smooth nonconvex function. (English) Zbl 1428.90128 ESAIM, Control Optim. Calc. Var. 24, No. 2, 463-477 (2018). MSC: 90C26 90C30 34G25 47J25 47H05 65K10 PDFBibTeX XMLCite \textit{R. I. Boţ} and \textit{E. R. Csetnek}, ESAIM, Control Optim. Calc. Var. 24, No. 2, 463--477 (2018; Zbl 1428.90128) Full Text: DOI arXiv
Boţ, Radu Ioan; Csetnek, Ernö Robert; László, Szilárd Csaba Approaching nonsmooth nonconvex minimization through second-order proximal-gradient dynamical systems. (English) Zbl 1402.34069 J. Evol. Equ. 18, No. 3, 1291-1318 (2018). MSC: 34G20 47J25 47H05 90C26 90C30 34D05 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., J. Evol. Equ. 18, No. 3, 1291--1318 (2018; Zbl 1402.34069) Full Text: DOI arXiv
Boţ, Radu Ioan; Csetnek, Ernö Robert Approaching nonsmooth nonconvex optimization problems through first order dynamical systems with hidden acceleration and Hessian driven damping terms. (English) Zbl 1452.90250 Set-Valued Var. Anal. 26, No. 2, 227-245 (2018). Reviewer: Paulo Mbunga (Kiel) MSC: 90C26 34G25 65K10 47J25 47H05 90C30 PDFBibTeX XMLCite \textit{R. I. Boţ} and \textit{E. R. Csetnek}, Set-Valued Var. Anal. 26, No. 2, 227--245 (2018; Zbl 1452.90250) Full Text: DOI arXiv
Boţ, Radu Ioan; Csetnek, Ernö Robert; Nimana, Nimit An inertial proximal-gradient penalization scheme for constrained convex optimization problems. (English) Zbl 1462.65064 Vietnam J. Math. 46, No. 1, 53-71 (2018). MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., Vietnam J. Math. 46, No. 1, 53--71 (2018; Zbl 1462.65064) Full Text: DOI
Boţ, Radu Ioan; Csetnek, Ernö Robert; Nimana, Nimit Gradient-type penalty method with inertial effects for solving constrained convex optimization problems with smooth data. (English) Zbl 1391.90469 Optim. Lett. 12, No. 1, 17-33 (2018). MSC: 90C25 90C52 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., Optim. Lett. 12, No. 1, 17--33 (2018; Zbl 1391.90469) Full Text: DOI
Boţ, Radu Ioan; Csetnek, Ernö Robert Penalty schemes with inertial effects for monotone inclusion problems. (English) Zbl 1373.49009 Optimization 66, No. 6, 965-982 (2017). MSC: 49J40 49J52 47J22 49M30 47H05 90C25 65K05 PDFBibTeX XMLCite \textit{R. I. Boţ} and \textit{E. R. Csetnek}, Optimization 66, No. 6, 965--982 (2017; Zbl 1373.49009) Full Text: DOI arXiv
Boţ, Radu Ioan; Csetnek, Ernö Robert A dynamical system associated with the fixed points set of a nonexpansive operator. (English) Zbl 1387.34091 J. Dyn. Differ. Equations 29, No. 1, 155-168 (2017). Reviewer: Simeon Reich (Haifa) MSC: 34G25 34G20 47J25 47H05 47H09 90C25 34D05 PDFBibTeX XMLCite \textit{R. I. Boţ} and \textit{E. R. Csetnek}, J. Dyn. Differ. Equations 29, No. 1, 155--168 (2017; Zbl 1387.34091) Full Text: DOI arXiv
Boţ, Radu Ioan; Csetnek, Ernö Robert An inertial Tseng’s type proximal algorithm for nonsmooth and nonconvex optimization problems. (English) Zbl 1349.90688 J. Optim. Theory Appl. 171, No. 2, 600-616 (2016). MSC: 90C26 90C30 65K10 PDFBibTeX XMLCite \textit{R. I. Boţ} and \textit{E. R. Csetnek}, J. Optim. Theory Appl. 171, No. 2, 600--616 (2016; Zbl 1349.90688) Full Text: DOI arXiv
Boţ, Radu Ioan; Csetnek, Ernö Robert; László, Szilárd Csaba An inertial forward-backward algorithm for the minimization of the sum of two nonconvex functions. (English) Zbl 1338.90311 EURO J. Comput. Optim. 4, No. 1, 3-25 (2016). MSC: 90C26 90C30 65K10 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., EURO J. Comput. Optim. 4, No. 1, 3--25 (2016; Zbl 1338.90311) Full Text: DOI arXiv
Boţ, Radu Ioan; Csetnek, Ernö Robert An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems. (English) Zbl 1338.47076 Numer. Algorithms 71, No. 3, 519-540 (2016). MSC: 47J22 47H05 65K05 90C25 PDFBibTeX XMLCite \textit{R. I. Boţ} and \textit{E. R. Csetnek}, Numer. Algorithms 71, No. 3, 519--540 (2016; Zbl 1338.47076) Full Text: DOI arXiv
Boţ, Radu Ioan; Csetnek, Ernö Robert; Hendrich, Christopher Inertial Douglas-Rachford splitting for monotone inclusion problems. (English) Zbl 1338.65145 Appl. Math. Comput. 256, 472-487 (2015). MSC: 65J15 47J25 90C25 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., Appl. Math. Comput. 256, 472--487 (2015; Zbl 1338.65145) Full Text: DOI arXiv
Boţ, Radu Ioan; Csetnek, Ernö Robert On the convergence rate of a forward-backward type primal-dual splitting algorithm for convex optimization problems. (English) Zbl 1476.47045 Optimization 64, No. 1, 5-23 (2015). MSC: 47J25 47H05 65K05 90C25 PDFBibTeX XMLCite \textit{R. I. Boţ} and \textit{E. R. Csetnek}, Optimization 64, No. 1, 5--23 (2015; Zbl 1476.47045) Full Text: DOI