Le, Ba Khiet R-continuity with applications to convergence analysis of Tikhonov regularization and DC programming. (English) Zbl 07811224 J. Convex Anal. 31, No. 1, 243-254 (2024). MSC: 47N10 90C26 90C06 PDFBibTeX XMLCite \textit{B. K. Le}, J. Convex Anal. 31, No. 1, 243--254 (2024; Zbl 07811224) Full Text: arXiv Link
Salehi Shayegan, Amir Hossein; Zakeri, Ali; Salehi Shayegan, Adib Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant. (English) Zbl 07803165 J. Inverse Ill-Posed Probl. 32, No. 1, 107-126 (2024). MSC: 65M32 65M30 65M60 65M06 65N30 65H10 65K10 47A52 35R30 35R25 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{A. H. Salehi Shayegan} et al., J. Inverse Ill-Posed Probl. 32, No. 1, 107--126 (2024; Zbl 07803165) Full Text: DOI
Castellani, Marco; Giuli, Massimiliano A continuity result for the adjusted normal cone operator. (English) Zbl 07802211 J. Optim. Theory Appl. 200, No. 2, 858-873 (2024). MSC: 47H04 49J40 49J52 49J53 90C26 PDFBibTeX XMLCite \textit{M. Castellani} and \textit{M. Giuli}, J. Optim. Theory Appl. 200, No. 2, 858--873 (2024; Zbl 07802211) Full Text: DOI arXiv OA License
Li, Feixiang; Teng, Kaimin Global well-posedness and standing wave solutions for a class of nematic liquid crystal system. (English) Zbl 07796497 Math. Commun. 28, No. 2, 257-276 (2023). MSC: 35Q60 35Q55 35Q41 78A60 82D30 35J60 35C08 47H10 35A01 35A02 35A15 49M41 35R01 PDFBibTeX XMLCite \textit{F. Li} and \textit{K. Teng}, Math. Commun. 28, No. 2, 257--276 (2023; Zbl 07796497) Full Text: Link
Vijayakumar, V.; Udhayakumar, R.; Zhou, Yong; Sakthivel, N. Approximate controllability results for Sobolev-type delay differential system of fractional order without uniqueness. (English) Zbl 07777364 Numer. Methods Partial Differ. Equations 39, No. 5, 3479-3498 (2023). MSC: 35Q93 93C20 35R07 47H10 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{V. Vijayakumar} et al., Numer. Methods Partial Differ. Equations 39, No. 5, 3479--3498 (2023; Zbl 07777364) Full Text: DOI
Henrion, Didier (ed.); Kuhlmann, Salma (ed.); Mezić, Igor (ed.); Vinnikov, Victor (ed.) Real algebraic geometry with a view toward Koopman operator methods. Abstracts from the workshop held March 12–17, 2023. (English) Zbl 1525.00020 Oberwolfach Rep. 20, No. 1, 741-811 (2023). MSC: 00B05 00B25 14-06 14Pxx 12D15 13J30 14M12 14Q30 37M25 44A60 46N10 47A57 49M29 49N35 52A20 52A27 52A41 90C22 90C25 90C26 93B28 PDFBibTeX XMLCite \textit{D. Henrion} (ed.) et al., Oberwolfach Rep. 20, No. 1, 741--811 (2023; Zbl 1525.00020) Full Text: DOI
Sujanani, Arnesh; Monteiro, Renato D. C. An adaptive superfast inexact proximal augmented Lagrangian method for smooth nonconvex composite optimization problems. (English) Zbl 1522.90142 J. Sci. Comput. 97, No. 2, Paper No. 34, 41 p. (2023). MSC: 90C26 90C30 65K10 90C60 47J22 PDFBibTeX XMLCite \textit{A. Sujanani} and \textit{R. D. C. Monteiro}, J. Sci. Comput. 97, No. 2, Paper No. 34, 41 p. (2023; Zbl 1522.90142) Full Text: DOI arXiv
Wang, Jinhua; Li, Chong; Ng, K. F. Convergence rate of inexact proximal point algorithms for operator with Hölder metric subregularity. (English) Zbl 07731063 SIAM J. Optim. 33, No. 3, 1996-2020 (2023). MSC: 47J25 47H05 47J22 49J53 90C26 90C31 PDFBibTeX XMLCite \textit{J. Wang} et al., SIAM J. Optim. 33, No. 3, 1996--2020 (2023; Zbl 07731063) Full Text: DOI
Caruso, Francesco; Ceparano, Maria Carmela; Morgan, Jacqueline Affine relaxations of the best response algorithm: global convergence in ratio-bounded games. (English) Zbl 07725765 SIAM J. Optim. 33, No. 3, 1914-1942 (2023). MSC: 47N10 91A10 91A68 PDFBibTeX XMLCite \textit{F. Caruso} et al., SIAM J. Optim. 33, No. 3, 1914--1942 (2023; Zbl 07725765) Full Text: DOI
Filbir, Frank; Melnyk, Oleh Image recovery for blind polychromatic ptychography. (English) Zbl 1516.78009 SIAM J. Imaging Sci. 16, No. 3, 1308-1337 (2023). MSC: 78A46 78M50 47J25 90C26 PDFBibTeX XMLCite \textit{F. Filbir} and \textit{O. Melnyk}, SIAM J. Imaging Sci. 16, No. 3, 1308--1337 (2023; Zbl 1516.78009) Full Text: DOI arXiv
Gao, Xue; Cai, Xingju; Wang, Xiangfeng; Han, Deren An alternating structure-adapted Bregman proximal gradient descent algorithm for constrained nonconvex nonsmooth optimization problems and its inertial variant. (English) Zbl 1522.90124 J. Glob. Optim. 87, No. 1, 277-300 (2023). MSC: 90C26 65K05 47J25 PDFBibTeX XMLCite \textit{X. Gao} et al., J. Glob. Optim. 87, No. 1, 277--300 (2023; Zbl 1522.90124) Full Text: DOI
Long, Vo Si Trong Directional variational principles and applications to the existence study in optimization. (English) Zbl 1524.58007 J. Ind. Manag. Optim. 19, No. 10, 7506-7521 (2023). MSC: 58E30 47J22 49J27 90C26 PDFBibTeX XMLCite \textit{V. S. T. Long}, J. Ind. Manag. Optim. 19, No. 10, 7506--7521 (2023; Zbl 1524.58007) Full Text: DOI
Kokurin, M. Yu. Quasi-solution method and global minimization of the residual functional in conditionally well-posed inverse problems. (English. Russian original) Zbl 1514.65118 Comput. Math. Math. Phys. 63, No. 5, 881-896 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 5, 840-855 (2023). MSC: 65M32 49N45 47A52 PDFBibTeX XMLCite \textit{M. Yu. Kokurin}, Comput. Math. Math. Phys. 63, No. 5, 881--896 (2023; Zbl 1514.65118); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 5, 840--855 (2023) Full Text: DOI
Gabeleh, M.; Kosuru, G. Sankara Raju Some remarks on convergence of best proximity points and semi-cyclic contractions. (English) Zbl 07703367 Rend. Circ. Mat. Palermo (2) 72, No. 4, 2429-2442 (2023). MSC: 47H10 90C26 47H09 PDFBibTeX XMLCite \textit{M. Gabeleh} and \textit{G. S. R. Kosuru}, Rend. Circ. Mat. Palermo (2) 72, No. 4, 2429--2442 (2023; Zbl 07703367) Full Text: DOI
Breiten, Tobias; Kunisch, Karl K. Improving the convergence rates for the kinetic Fokker-Planck equation by optimal control. (English) Zbl 1525.35218 SIAM J. Control Optim. 61, No. 3, 1557-1581 (2023). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q84 35Q93 47N70 93D15 82C31 35A01 35A02 35R06 35R60 PDFBibTeX XMLCite \textit{T. Breiten} and \textit{K. K. Kunisch}, SIAM J. Control Optim. 61, No. 3, 1557--1581 (2023; Zbl 1525.35218) Full Text: DOI arXiv
Cai, Hanqin; Cai, Jian-Feng; You, Juntao Structured gradient descent for fast robust low-rank Hankel matrix completion. (English) Zbl 1516.65033 SIAM J. Sci. Comput. 45, No. 3, A1172-A1198 (2023). MSC: 65F55 15A83 15B05 41A29 47B35 90C17 90C26 PDFBibTeX XMLCite \textit{H. Cai} et al., SIAM J. Sci. Comput. 45, No. 3, A1172--A1198 (2023; Zbl 1516.65033) Full Text: DOI arXiv
Kong, Weiwei; Melo, Jefferson G.; Monteiro, Renato D. C. Iteration complexity of an inner accelerated inexact proximal augmented Lagrangian method based on the classical Lagrangian function. (English) Zbl 07669688 SIAM J. Optim. 33, No. 1, 181-210 (2023). MSC: 47J22 49M27 90C25 90C26 90C30 90C60 65K10 PDFBibTeX XMLCite \textit{W. Kong} et al., SIAM J. Optim. 33, No. 1, 181--210 (2023; Zbl 07669688) Full Text: DOI arXiv
Juagwon, Kiattiyot; Phuengrattana, Withun Iterative approaches for solving equilibrium problems, zero point problems and fixed point problems in Hadamard spaces. (English) Zbl 1523.47069 Comput. Appl. Math. 42, No. 2, Paper No. 75, 18 p. (2023). MSC: 47J25 47H09 54H25 90C26 PDFBibTeX XMLCite \textit{K. Juagwon} and \textit{W. Phuengrattana}, Comput. Appl. Math. 42, No. 2, Paper No. 75, 18 p. (2023; Zbl 1523.47069) Full Text: DOI
Garrisi, Daniele; Gou, Tianxiang Correction to: “Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents”. (English) Zbl 1507.35252 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 3, Paper No. 35, 1 p. (2023). MSC: 35Q55 35Q41 47J35 35J20 35B35 35B33 35D30 35A01 49M41 PDFBibTeX XMLCite \textit{D. Garrisi} and \textit{T. Gou}, NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 3, Paper No. 35, 1 p. (2023; Zbl 1507.35252) Full Text: DOI
Garrisi, Daniele; Gou, Tianxiang Orbital stability and concentration of standing-wave solutions to a nonlinear Schrödinger system with mass critical exponents. (English) Zbl 1503.35209 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 1, Paper No. 3, 23 p. (2023); correction ibid. 30, No. 3, Paper No. 35, 1 p. (2023). MSC: 35Q55 35Q41 47J35 35J20 35B35 35B33 35D30 35A01 49M41 PDFBibTeX XMLCite \textit{D. Garrisi} and \textit{T. Gou}, NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 1, Paper No. 3, 23 p. (2023; Zbl 1503.35209) Full Text: DOI arXiv
Evens, Brecht; Latafat, Puya; Patrinos, Panagiotis Convergence of the Chambolle-Pock Algorithm in the Absence of Monotonicity. arXiv:2312.06540 Preprint, arXiv:2312.06540 [math.OC] (2023). MSC: 47H04 49J52 49J53 65K05 65K15 90C26 BibTeX Cite \textit{B. Evens} et al., ``Convergence of the Chambolle-Pock Algorithm in the Absence of Monotonicity'', Preprint, arXiv:2312.06540 [math.OC] (2023) Full Text: arXiv OA License
Mattingly, Jonathan C.; Miller, Ezra; Tran, Do Central limit theorems for Fréchet means on stratified spaces. arXiv:2311.09455 Preprint, arXiv:2311.09455 [math.PR] (2023). MSC: 60F05 53C23 60D05 60B05 49J52 62R20 62R07 57N80 58A35 47H14 58C20 49J50 58Z05 53C80 62G20 62R30 28C99 58K30 62G35 92B10 BibTeX Cite \textit{J. C. Mattingly} et al., ``Central limit theorems for Fr\'echet means on stratified spaces'', Preprint, arXiv:2311.09455 [math.PR] (2023) Full Text: arXiv OA License
Karapetyants, Mikhail; László, Szilárd Csaba A Nesterov type algorithm with double Tikhonov regularization: fast convergence of the function values and strong convergence to the minimal norm solution. arXiv:2308.05056 Preprint, arXiv:2308.05056 [math.OC] (2023). MSC: 34G25 47J25 47H05 90C26 90C30 65K10 BibTeX Cite \textit{M. Karapetyants} and \textit{S. C. László}, ``A Nesterov type algorithm with double Tikhonov regularization: fast convergence of the function values and strong convergence to the minimal norm solution'', Preprint, arXiv:2308.05056 [math.OC] (2023) Full Text: arXiv OA License
Melnyk, Oleh Convergence properties of gradient methods for blind ptychography. arXiv:2306.08750 Preprint, arXiv:2306.08750 [math.NA] (2023). MSC: 78A46 78M50 47J25 90C26 BibTeX Cite \textit{O. Melnyk}, ``Convergence properties of gradient methods for blind ptychography'', Preprint, arXiv:2306.08750 [math.NA] (2023) Full Text: arXiv OA License
Niu, Yi-Shuai Accelerated DC Algorithms for the Asymmetric Eigenvalue Complementarity Problem. arXiv:2305.12076 Preprint, arXiv:2305.12076 [math.OC] (2023). MSC: 65F15 90C33 90C30 90C26 93B60 47A75 BibTeX Cite \textit{Y.-S. Niu}, ``Accelerated DC Algorithms for the Asymmetric Eigenvalue Complementarity Problem'', Preprint, arXiv:2305.12076 [math.OC] (2023) Full Text: arXiv OA License
Evens, Brecht; Pas, Pieter; Latafat, Puya; Patrinos, Panagiotis Convergence of the Preconditioned Proximal Point Method and Douglas-Rachford Splitting in the Absence of Monotonicity. arXiv:2305.03605 Preprint, arXiv:2305.03605 [math.OC] (2023). MSC: 47H04 49J52 49J53 65K05 65K15 90C26 BibTeX Cite \textit{B. Evens} et al., ``Convergence of the Preconditioned Proximal Point Method and Douglas-Rachford Splitting in the Absence of Monotonicity'', Preprint, arXiv:2305.03605 [math.OC] (2023) Full Text: arXiv OA License
Dizon, Neil D.; Hogan, Jeffrey A.; Lindstrom, Scott B. Centering projection methods for wavelet feasibility problems. (English) Zbl 07819155 Cerejeiras, Paula (ed.) et al., Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Cham: Birkhäuser. Trends Math., 661-669 (2022). MSC: 90C26 47H10 65K10 65T60 PDFBibTeX XMLCite \textit{N. D. Dizon} et al., in: Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 -- August 3, 2019. Cham: Birkhäuser. 661--669 (2022; Zbl 07819155) Full Text: DOI arXiv
Liu, Liya; Petrușel, Adrian; Qin, Xiaolong; Yao, Jen-Chih An inertial subgradient-extragradient algorithm for solving pseudomonotone variational inequalities. (English) Zbl 07781975 Fixed Point Theory 23, No. 2, 533-556 (2022). MSC: 49J40 90C26 90C52 49J50 47J20 PDFBibTeX XMLCite \textit{L. Liu} et al., Fixed Point Theory 23, No. 2, 533--556 (2022; Zbl 07781975) Full Text: DOI
Ansari, Qamrul Hasan; Babu, Feeroz; Zeeshan, Mohd. Implicit and explicit viscosity methods for hierarchical variational inequalities on Hadamard manifolds. (English) Zbl 07781968 Fixed Point Theory 23, No. 2, 447-472 (2022). MSC: 49J40 49J53 49J27 47H04 47J22 58C30 58E35 47J25 47J20 PDFBibTeX XMLCite \textit{Q. H. Ansari} et al., Fixed Point Theory 23, No. 2, 447--472 (2022; Zbl 07781968) Full Text: DOI
Riahi, Mohamed Kamel; Qattan, Issam A. On the convergence rate of Fletcher-Reeves nonlinear conjugate gradient methods satisfying strong Wolfe conditions: application to parameter identification in problems governed by general dynamics. (English) Zbl 1527.65048 Math. Methods Appl. Sci. 45, No. 7, 3644-3664 (2022). MSC: 65K10 47N40 45Q05 65L09 90C26 49J15 PDFBibTeX XMLCite \textit{M. K. Riahi} and \textit{I. A. Qattan}, Math. Methods Appl. Sci. 45, No. 7, 3644--3664 (2022; Zbl 1527.65048) Full Text: DOI OA License
Lindstrom, Scott B. Computable centering methods for spiraling algorithms and their duals, with motivations from the theory of Lyapunov functions. (English) Zbl 1518.90077 Comput. Optim. Appl. 83, No. 3, 999-1026 (2022). MSC: 90C26 65Q30 47H99 PDFBibTeX XMLCite \textit{S. B. Lindstrom}, Comput. Optim. Appl. 83, No. 3, 999--1026 (2022; Zbl 1518.90077) Full Text: DOI arXiv
Kim, Jinhak; Tawarmalani, Mohit; Richard, Jean-Philippe P. Convexification of permutation-invariant sets and an application to sparse principal component analysis. (English) Zbl 07639643 Math. Oper. Res. 47, No. 4, 2547-2584 (2022). MSC: 47N10 90C26 52A27 PDFBibTeX XMLCite \textit{J. Kim} et al., Math. Oper. Res. 47, No. 4, 2547--2584 (2022; Zbl 07639643) Full Text: DOI arXiv
Aragón-Artacho, F. J.; Campoy, R.; Vuong, P. T. The boosted DC algorithm for linearly constrained DC programming. (English) Zbl 1518.65060 Set-Valued Var. Anal. 30, No. 4, 1265-1289 (2022). MSC: 65K05 65K10 90C26 90C20 47N10 PDFBibTeX XMLCite \textit{F. J. Aragón-Artacho} et al., Set-Valued Var. Anal. 30, No. 4, 1265--1289 (2022; Zbl 1518.65060) Full Text: DOI arXiv
Zhao, Jing; Dong, Qiao-Li; Rassias, Michael Th.; Wang, Fenghui Two-step inertial Bregman alternating minimization algorithm for nonconvex and nonsmooth problems. (English) Zbl 07606099 J. Glob. Optim. 84, No. 4, 941-966 (2022). MSC: 47J06 49J52 65K10 90C26 90C30 PDFBibTeX XMLCite \textit{J. Zhao} et al., J. Glob. Optim. 84, No. 4, 941--966 (2022; Zbl 07606099) Full Text: DOI
Zhang, Haixiang; Milzarek, Andre; Wen, Zaiwen; Yin, Wotao On the geometric analysis of a quartic-quadratic optimization problem under a spherical constraint. (English) Zbl 1504.90090 Math. Program. 195, No. 1-2 (A), 421-473 (2022). MSC: 90C20 90C26 47H60 PDFBibTeX XMLCite \textit{H. Zhang} et al., Math. Program. 195, No. 1--2 (A), 421--473 (2022; Zbl 1504.90090) Full Text: DOI arXiv
Zhang, Xiaoya; Peng, Wei; Zhang, Hui Inertial proximal incremental aggregated gradient method with linear convergence guarantees. (English) Zbl 1503.90137 Math. Methods Oper. Res. 96, No. 2, 187-213 (2022). MSC: 90C30 90C26 47N10 PDFBibTeX XMLCite \textit{X. Zhang} et al., Math. Methods Oper. Res. 96, No. 2, 187--213 (2022; Zbl 1503.90137) Full Text: DOI
Shen, Jian; Chen, Jein-Shan; Qi, Hou-Duo; Xiu, Naihua A penalized method of alternating projections for weighted low-rank Hankel matrix optimization. (English) Zbl 07596978 Math. Program. Comput. 14, No. 3, 417-450 (2022). MSC: 47B35 62M10 65F55 90C26 90C30 PDFBibTeX XMLCite \textit{J. Shen} et al., Math. Program. Comput. 14, No. 3, 417--450 (2022; Zbl 07596978) Full Text: DOI
Melnyk, Oleh On connections between amplitude flow and error reduction for phase retrieval and ptychography. (English) Zbl 1495.90143 Sampl. Theory Signal Process. Data Anal. 20, No. 2, Paper No. 16, 21 p. (2022). MSC: 90C26 47J26 47J25 78M50 78A46 PDFBibTeX XMLCite \textit{O. Melnyk}, Sampl. Theory Signal Process. Data Anal. 20, No. 2, Paper No. 16, 21 p. (2022; Zbl 1495.90143) Full Text: DOI
Balashov, Maxim V. Stability of minimization problems and the error bound condition. (English) Zbl 07563240 Set-Valued Var. Anal. 30, No. 3, 1061-1076 (2022). MSC: 47J40 90C26 PDFBibTeX XMLCite \textit{M. V. Balashov}, Set-Valued Var. Anal. 30, No. 3, 1061--1076 (2022; Zbl 07563240) Full Text: DOI
Dizon, Neil D.; Hogan, Jeffrey A.; Lindstrom, Scott B. Circumcentering reflection methods for nonconvex feasibility problems. (English) Zbl 1492.90134 Set-Valued Var. Anal. 30, No. 3, 943-973 (2022). MSC: 90C26 65K10 47H10 49M27 PDFBibTeX XMLCite \textit{N. D. Dizon} et al., Set-Valued Var. Anal. 30, No. 3, 943--973 (2022; Zbl 1492.90134) Full Text: DOI arXiv
Cai, Xing-Ju; Guo, Ke; Jiang, Fan; Wang, Kai; Wu, Zhong-Ming; Han, De-Ren The developments of proximal point algorithms. (English) Zbl 1502.47081 J. Oper. Res. Soc. China 10, No. 2, 197-239 (2022). MSC: 47J25 47H05 47J20 49J52 49M27 65K10 65K15 90C25 90C26 47-02 PDFBibTeX XMLCite \textit{X.-J. Cai} et al., J. Oper. Res. Soc. China 10, No. 2, 197--239 (2022; Zbl 1502.47081) Full Text: DOI
Wang, Xianfu; Bauschke, Heinz H. The Bregman proximal average. (English) Zbl 1501.49013 SIAM J. Optim. 32, No. 2, 1379-1401 (2022). MSC: 49J53 26B25 26E60 47H05 90C26 52A01 PDFBibTeX XMLCite \textit{X. Wang} and \textit{H. H. Bauschke}, SIAM J. Optim. 32, No. 2, 1379--1401 (2022; Zbl 1501.49013) Full Text: DOI arXiv
Wang, Jing On the \(L_q\)-reflector problem in \(\mathbb{R}^n\) with non-Euclidean norm. (English) Zbl 1489.78012 Adv. Nonlinear Stud. 22, 184-202 (2022). MSC: 78M30 78A05 35A01 47N10 53A07 52A41 52A20 PDFBibTeX XMLCite \textit{J. Wang}, Adv. Nonlinear Stud. 22, 184--202 (2022; Zbl 1489.78012) Full Text: DOI
Bui, Hoa T.; Burachik, Regina S.; Kruger, Alexander Y.; Yost, David T. Zero duality gap conditions via abstract convexity. (English) Zbl 1489.90133 Optimization 71, No. 4, 811-847 (2022). MSC: 90C26 52A01 47N10 49J53 49J27 49J52 90C30 PDFBibTeX XMLCite \textit{H. T. Bui} et al., Optimization 71, No. 4, 811--847 (2022; Zbl 1489.90133) Full Text: DOI arXiv
Zhu, Ming; Hu, Rong; Fang, Ya-Ping A dynamical splitting method for minimizing the sum of three convex functions. (English) Zbl 1497.37123 Numer. Funct. Anal. Optim. 43, No. 2, 221-246 (2022). MSC: 37N40 37M99 47H05 65K10 90C25 PDFBibTeX XMLCite \textit{M. Zhu} et al., Numer. Funct. Anal. Optim. 43, No. 2, 221--246 (2022; Zbl 1497.37123) Full Text: DOI
Bi, Shujun; Tao, Ting; Pan, Shaohua KL property of exponent \(1/2\) of \(\ell_{2,0}\)-norm and DC regularized factorizations for low-rank matrix recovery. (English) Zbl 1486.15033 Pac. J. Optim. 18, No. 1, 1-26 (2022). MSC: 15A83 47A52 90C26 PDFBibTeX XMLCite \textit{S. Bi} et al., Pac. J. Optim. 18, No. 1, 1--26 (2022; Zbl 1486.15033) Full Text: arXiv Link
Ait Mansour, Mohamed; Bahraoui, Mohamed Amin; El Bekkali, Adham Metric regularity and Lyusternik-Graves theorem via approximate fixed points of set-valued maps in noncomplete metric spaces. (English) Zbl 1484.49030 Set-Valued Var. Anal. 30, No. 1, 233-256 (2022). MSC: 49J53 47J22 47H10 49K40 90C31 PDFBibTeX XMLCite \textit{M. Ait Mansour} et al., Set-Valued Var. Anal. 30, No. 1, 233--256 (2022; Zbl 1484.49030) Full Text: DOI
Kong, Weiwei Complexity-optimal and Parameter-free First-order Methods for Finding Stationary Points of Composite Optimization Problems. arXiv:2205.13055 Preprint, arXiv:2205.13055 [math.OC] (2022). MSC: 47J22 65K10 90C25 90C26 90C30 90C60 BibTeX Cite \textit{W. Kong}, ``Complexity-optimal and Parameter-free First-order Methods for Finding Stationary Points of Composite Optimization Problems'', Preprint, arXiv:2205.13055 [math.OC] (2022) Full Text: arXiv OA License
Melnyk, Oleh Stochastic Amplitude Flow for phase retrieval, its convergence and doppelgängers. arXiv:2212.04916 Preprint, arXiv:2212.04916 [math.NA] (2022). MSC: 78A46 78M50 47J25 90C26 BibTeX Cite \textit{O. Melnyk}, ``Stochastic Amplitude Flow for phase retrieval, its convergence and doppelg\"angers'', Preprint, arXiv:2212.04916 [math.NA] (2022) Full Text: arXiv OA License
Oliveira, Rafael; Ramachandran, Akshay Scaling problems, algorithms and applications to computer science and statistics. Paper from the 33rd Brazilian mathematics colloquium – 33°Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, August 2–6, 2021. (English) Zbl 1507.90001 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-65-89124-18-4). 76 p., open access (2021). MSC: 90-02 14-02 14L24 62D99 47N10 90C26 14P99 PDFBibTeX XMLCite \textit{R. Oliveira} and \textit{A. Ramachandran}, Scaling problems, algorithms and applications to computer science and statistics. Paper from the 33rd Brazilian mathematics colloquium -- 33\degree Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, August 2--6, 2021. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (2021; Zbl 1507.90001) Full Text: Link
Chernov, Andreĭ Vladimirovich On differentiation of functional in problem on parametric coefficient optimization in semilinear global electric circuit equation. (Russian. English summary) Zbl 1497.47128 Ufim. Mat. Zh. 13, No. 3, 155-177 (2021); translation in Ufa Math. J. 13, No. 3, 152-173 (2021). MSC: 47N70 94C05 47J05 47J35 PDFBibTeX XMLCite \textit{A. V. Chernov}, Ufim. Mat. Zh. 13, No. 3, 155--177 (2021; Zbl 1497.47128); translation in Ufa Math. J. 13, No. 3, 152--173 (2021) Full Text: DOI MNR
Ertürk, Müzeyyen; Gürsoy, Faik; Şimşek, Necip \(S\)-iterative algorithm for solving variational inequalities. (English) Zbl 1483.49014 Int. J. Comput. Math. 98, No. 3, 435-448 (2021). MSC: 49J40 58E35 47H10 90C25 PDFBibTeX XMLCite \textit{M. Ertürk} et al., Int. J. Comput. Math. 98, No. 3, 435--448 (2021; Zbl 1483.49014) Full Text: DOI
Bergmann, Ronny; Herzog, Roland; Silva Louzeiro, Maurício; Tenbrinck, Daniel; Vidal-Núñez, José Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds. (English) Zbl 07458819 Found. Comput. Math. 21, No. 6, 1465-1504 (2021). MSC: 47Axx 47Hxx 90C26 53C23 PDFBibTeX XMLCite \textit{R. Bergmann} et al., Found. Comput. Math. 21, No. 6, 1465--1504 (2021; Zbl 07458819) Full Text: DOI arXiv
Kong, Weiwei; Monteiro, Renato D. C. An accelerated inexact proximal point method for solving nonconvex-concave min-max problems. (English) Zbl 07421056 SIAM J. Optim. 31, No. 4, 2558-2585 (2021). MSC: 47J22 90C26 90C30 90C47 90C60 65K10 PDFBibTeX XMLCite \textit{W. Kong} and \textit{R. D. C. Monteiro}, SIAM J. Optim. 31, No. 4, 2558--2585 (2021; Zbl 07421056) Full Text: DOI arXiv
Lasserre, Jean B. Connecting optimization with spectral analysis of tri-diagonal matrices. (English) Zbl 1527.90148 Math. Program. 190, No. 1-2 (A), 795-809 (2021). MSC: 90C22 90C26 42C05 65F15 47B35 PDFBibTeX XMLCite \textit{J. B. Lasserre}, Math. Program. 190, No. 1--2 (A), 795--809 (2021; Zbl 1527.90148) Full Text: DOI arXiv
Flores-Bazán, F.; García, Y.; Hadjisavvas, N. Characterizing quasiconvexity of the pointwise infimum of a family of arbitrary translations of quasiconvex functions, with applications to sums and quasiconvex optimization. (English) Zbl 1481.26012 Math. Program. 189, No. 1-2 (B), 315-337 (2021). Reviewer: Alfred Göpfert (Leipzig) MSC: 26B25 47H05 90C26 PDFBibTeX XMLCite \textit{F. Flores-Bazán} et al., Math. Program. 189, No. 1--2 (B), 315--337 (2021; Zbl 1481.26012) Full Text: DOI
Ding, Shusen; Shi, Guannan; Xing, Yuming Norm estimates for the composite operators. (English) Zbl 07392120 Rassias, Themistocles M. (ed.) et al., Nonlinear analysis and global optimization. Cham: Springer. Springer Optim. Appl. 167, 193-206 (2021). MSC: 47-XX 90C26 26E25 PDFBibTeX XMLCite \textit{S. Ding} et al., Springer Optim. Appl. 167, 193--206 (2021; Zbl 07392120) Full Text: DOI
Dao, Minh N.; Dizon, Neil D.; Hogan, Jeffrey A.; Tam, Matthew K. Constraint reduction reformulations for projection algorithms with applications to wavelet construction. (English) Zbl 1475.90064 J. Optim. Theory Appl. 190, No. 1, 201-233 (2021). MSC: 90C26 47H10 65K10 65T60 PDFBibTeX XMLCite \textit{M. N. Dao} et al., J. Optim. Theory Appl. 190, No. 1, 201--233 (2021; Zbl 1475.90064) Full Text: DOI arXiv
Fan, Jingjing; Qin, Xiaolong Weak and strong convergence of inertial Tseng’s extragradient algorithms for solving variational inequality problems. (English) Zbl 1467.49010 Optimization 70, No. 5-6, 1195-1216 (2021). Reviewer: Alain Brillard (Riedisheim) MSC: 49J40 47H05 47J20 90C26 90C33 90C52 PDFBibTeX XMLCite \textit{J. Fan} and \textit{X. Qin}, Optimization 70, No. 5--6, 1195--1216 (2021; Zbl 1467.49010) Full Text: DOI
Brown, Jed; He, Yunhui; MacLachlan, Scott; Menickelly, Matt; Wild, Stefan M. Tuning multigrid methods with robust optimization and local Fourier analysis. (English) Zbl 07303441 SIAM J. Sci. Comput. 43, No. 1, A109-A138 (2021). MSC: 47N40 65M55 90C26 49Q10 PDFBibTeX XMLCite \textit{J. Brown} et al., SIAM J. Sci. Comput. 43, No. 1, A109--A138 (2021; Zbl 07303441) Full Text: DOI arXiv
Ferreira, Orizon P.; Santos, Elianderson M.; Souza, João Carlos O. A boosted DC algorithm for non-differentiable DC components with non-monotone line search. arXiv:2111.01290 Preprint, arXiv:2111.01290 [math.OC] (2021). MSC: 90C26 65K05 65K10 47N10 BibTeX Cite \textit{O. P. Ferreira} et al., ``A boosted DC algorithm for non-differentiable DC components with non-monotone line search'', Preprint, arXiv:2111.01290 [math.OC] (2021) Full Text: arXiv OA License
Lee, Sucheol; Kim, Donghwan Semi-Anchored Multi-Step Gradient Descent Ascent Method for Structured Nonconvex-Nonconcave Composite Minimax Problems. arXiv:2105.15042 Preprint, arXiv:2105.15042 [math.OC] (2021). MSC: 90C47 90C26 65K05 47J25 68T05 BibTeX Cite \textit{S. Lee} and \textit{D. Kim}, ``Semi-Anchored Multi-Step Gradient Descent Ascent Method for Structured Nonconvex-Nonconcave Composite Minimax Problems'', Preprint, arXiv:2105.15042 [math.OC] (2021) Full Text: arXiv OA License
Ferreira, Orizon P.; Santos, Elianderson M.; Souza, João Carlos O. Boosted scaled subgradient method for DC programming. arXiv:2103.10757 Preprint, arXiv:2103.10757 [math.OC] (2021). MSC: 65K05 65K10 90C26 47N10 BibTeX Cite \textit{O. P. Ferreira} et al., ``Boosted scaled subgradient method for DC programming'', Preprint, arXiv:2103.10757 [math.OC] (2021) Full Text: arXiv OA License
Sadhu, R.; Nahak, C. A descent method for variational inequalities in Hilbert spaces. (English) Zbl 1513.49029 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 82, No. 2, 43-54 (2020). MSC: 49J40 47J20 PDFBibTeX XMLCite \textit{R. Sadhu} and \textit{C. Nahak}, Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 82, No. 2, 43--54 (2020; Zbl 1513.49029)
Dangskul, Supreedee; Suparatulatorn, Raweerote Global minimization of common best proximity points for generalized cyclic \(\varphi \)-contractions in metric spaces. (English) Zbl 1476.90252 Thai J. Math. 18, No. 3, 1173-1183 (2020). MSC: 90C26 47H09 PDFBibTeX XMLCite \textit{S. Dangskul} and \textit{R. Suparatulatorn}, Thai J. Math. 18, No. 3, 1173--1183 (2020; Zbl 1476.90252) Full Text: Link
Amir, Fouzia; Farajzadeh, Ali; Petrot, Narin Hybrid proximal point algorithm for solution of convex multiobjective optimization problem over fixed point constraint. (English) Zbl 1476.90249 Thai J. Math. 18, No. 3, 841-850 (2020). MSC: 90C26 47H09 47H10 PDFBibTeX XMLCite \textit{F. Amir} et al., Thai J. Math. 18, No. 3, 841--850 (2020; Zbl 1476.90249) Full Text: Link
Nguyen, Luong V.; Qin, Xiaolong Weak sharpness for solutions of nonsmooth variational inequalities and applications. (English) Zbl 1488.49026 Carpathian J. Math. 36, No. 1, 109-117 (2020). MSC: 49J40 90C26 90C52 47J20 49J52 PDFBibTeX XMLCite \textit{L. V. Nguyen} and \textit{X. Qin}, Carpathian J. Math. 36, No. 1, 109--117 (2020; Zbl 1488.49026) Full Text: DOI
Ivanov, Vsevolod I. On variational-like inequalities and global minimization problem. (English) Zbl 1471.47040 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 21st international conference on geometry, integrability and quantization, Varna, Bulgaria, June 3–8, 2019. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 21, 149-162 (2020). MSC: 47J20 90C26 47H05 PDFBibTeX XMLCite \textit{V. I. Ivanov}, Geom. Integrability Quantization 21, 149--162 (2020; Zbl 1471.47040) Full Text: DOI
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
Peng, Bo; Xu, Hong-Kun Proximal methods for reweighted \(l_Q\)-regularization of sparse signal recovery. (English) Zbl 1474.90358 Appl. Math. Comput. 386, Article ID 125408, 14 p. (2020). MSC: 90C26 90C25 90C46 47J25 PDFBibTeX XMLCite \textit{B. Peng} and \textit{H.-K. Xu}, Appl. Math. Comput. 386, Article ID 125408, 14 p. (2020; Zbl 1474.90358) Full Text: DOI
Mostajeran, Cyrus; Grussler, Christian; Sepulchre, Rodolphe Geometric matrix midranges. (English) Zbl 1456.15031 SIAM J. Matrix Anal. Appl. 41, No. 3, 1347-1368 (2020). MSC: 15B48 53C22 47N10 90C26 PDFBibTeX XMLCite \textit{C. Mostajeran} et al., SIAM J. Matrix Anal. Appl. 41, No. 3, 1347--1368 (2020; Zbl 1456.15031) Full Text: DOI arXiv
Karaman, A. Nonsmooth set variational inequality problems and optimality criteria for set optimization. (English) Zbl 1463.80007 Miskolc Math. Notes 21, No. 1, 229-240 (2020). MSC: 80M50 90C26 47J30 32C22 PDFBibTeX XMLCite \textit{A. Karaman}, Miskolc Math. Notes 21, No. 1, 229--240 (2020; Zbl 1463.80007) Full Text: DOI
Jiang, Caijing; Zeng, Biao Continuous dependence and optimal control for a class of variational-hemivariational inequalities. (English) Zbl 1454.49012 Appl. Math. Optim. 82, No. 2, 637-656 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 49J40 47J20 74M10 74M15 90C26 PDFBibTeX XMLCite \textit{C. Jiang} and \textit{B. Zeng}, Appl. Math. Optim. 82, No. 2, 637--656 (2020; Zbl 1454.49012) Full Text: DOI
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
Kong, Weiwei; Melo, Jefferson G.; Monteiro, Renato D. C. An efficient adaptive accelerated inexact proximal point method for solving linearly constrained nonconvex composite problems. (English) Zbl 1443.90282 Comput. Optim. Appl. 76, No. 2, 305-346 (2020). MSC: 90C26 47J22 90C30 90C60 65K10 PDFBibTeX XMLCite \textit{W. Kong} et al., Comput. Optim. Appl. 76, No. 2, 305--346 (2020; Zbl 1443.90282) Full Text: DOI arXiv
Zhu, Ming; Hu, Rong; Fang, Ya-Ping A continuous dynamical splitting method for solving ‘strongly+weakly’ convex programming problems. (English) Zbl 1445.47050 Optimization 69, No. 6, 1335-1359 (2020). MSC: 47J26 47H05 49J52 65K10 90C25 34G25 PDFBibTeX XMLCite \textit{M. Zhu} et al., Optimization 69, No. 6, 1335--1359 (2020; Zbl 1445.47050) Full Text: DOI
Chadli, Ouayl; Pany, Gayatri; Mohapatra, Ram N. Existence and iterative approximation method for solving mixed equilibrium problem under generalized monotonicity in Banach spaces. (English) Zbl 1439.49017 Numer. Algebra Control Optim. 10, No. 1, 75-92 (2020). MSC: 49J40 49J45 47H05 47J25 49J52 90C26 90C33 PDFBibTeX XMLCite \textit{O. Chadli} et al., Numer. Algebra Control Optim. 10, No. 1, 75--92 (2020; Zbl 1439.49017) Full Text: DOI
Aragón Artacho, Francisco J.; Vuong, Phan T. The boosted difference of convex functions algorithm for nonsmooth functions. (English) Zbl 1461.65119 SIAM J. Optim. 30, No. 1, 980-1006 (2020). MSC: 65K05 65K10 90C26 47N10 PDFBibTeX XMLCite \textit{F. J. Aragón Artacho} and \textit{P. T. Vuong}, SIAM J. Optim. 30, No. 1, 980--1006 (2020; Zbl 1461.65119) Full Text: DOI arXiv
Suparatulatorn, Raweerote; Cholamjiak, Watcharaporn; Suantai, Suthep Existence and convergence theorems for global minimization of best proximity points in Hilbert spaces. (English) Zbl 1442.47055 Acta Appl. Math. 165, 81-90 (2020). MSC: 47J25 47H09 41A29 90C26 PDFBibTeX XMLCite \textit{R. Suparatulatorn} et al., Acta Appl. Math. 165, 81--90 (2020; Zbl 1442.47055) Full Text: DOI
Ceng, L. C.; Li, X.; Qin, X. Parallel proximal point methods for systems of vector optimization problems on Hadamard manifolds without convexity. (English) Zbl 1432.90120 Optimization 69, No. 2, 357-383 (2020). MSC: 90C26 47J20 65K10 PDFBibTeX XMLCite \textit{L. C. Ceng} et al., Optimization 69, No. 2, 357--383 (2020; Zbl 1432.90120) Full Text: DOI
Kravvaritis, Dimitrios C.; Yannacopoulos, Athanasios N. Variational methods in nonlinear analysis. With applications in optimization and partial differential equations. (English) Zbl 1443.49001 De Gruyter Graduate. Berlin: De Gruyter (ISBN 978-3-11-064736-5/pbk; 978-3-11-064738-9/ebook). xxv, 474 p. (2020). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 49-02 47-02 35J20 35J25 35J50 35J57 46A55 47H04 47H05 47H09 47H10 47J20 47J25 47J30 49J35 49J40 49J50 49J52 49J53 49K20 49K35 49N15 49N60 58C30 58E05 58E30 58E35 58J05 58J32 90C25 PDFBibTeX XMLCite \textit{D. C. Kravvaritis} and \textit{A. N. Yannacopoulos}, Variational methods in nonlinear analysis. With applications in optimization and partial differential equations. Berlin: De Gruyter (2020; Zbl 1443.49001) Full Text: DOI
Zeng, Biao; Migórski, Stanisław Variational-hemivariational inverse problems for unilateral frictional contact. (English) Zbl 1436.49050 Appl. Anal. 99, No. 2, 293-312 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 49N45 49J40 49J53 74M10 74M15 47J20 47J22 90C26 PDFBibTeX XMLCite \textit{B. Zeng} and \textit{S. Migórski}, Appl. Anal. 99, No. 2, 293--312 (2020; Zbl 1436.49050) Full Text: DOI
Melo, Jefferson G.; Monteiro, Renato D. C.; Wang, Hairong Iteration-complexity of an inexact proximal accelerated augmented Lagrangian method for solving linearly constrained smooth nonconvex composite optimization problems. arXiv:2006.08048 Preprint, arXiv:2006.08048 [math.OC] (2020). MSC: 47J22 49M27 90C25 90C26 90C30 90C60 65K10 BibTeX Cite \textit{J. G. Melo} et al., ``Iteration-complexity of an inexact proximal accelerated augmented Lagrangian method for solving linearly constrained smooth nonconvex composite optimization problems'', Preprint, arXiv:2006.08048 [math.OC] (2020) Full Text: arXiv OA License
Hansen, Frank WITHDRAWN: Geodesic regression. arXiv:2005.01326 Preprint, arXiv:2005.01326 [math-ph] (2020); retraction notice ibid. MSC: 53C22 47A64 47N10 BibTeX Cite \textit{F. Hansen}, ``WITHDRAWN: Geodesic regression'', Preprint, arXiv:2005.01326 [math-ph] (2020); retraction notice ibid. Full Text: arXiv OA License
Chuang, Chih-Sheng; Yang, Pei-Jung Hybrid proximal linearized algorithm for the split generalized DC programming. (Hybrid proximal linearized algorithm for the split generalized DC program.) (English) Zbl 1478.47071 J. Nonlinear Convex Anal. 20, No. 2, 265-281 (2019). MSC: 47J25 49J53 90C26 PDFBibTeX XMLCite \textit{C.-S. Chuang} and \textit{P.-J. Yang}, J. Nonlinear Convex Anal. 20, No. 2, 265--281 (2019; Zbl 1478.47071) Full Text: Link
Suparatulatorn, Raweerote; Suantai, Sthep A new hybrid algorithm for global minimization of best proximity points in Hilbert spaces. (English) Zbl 1474.47136 Carpathian J. Math. 35, No. 1, 95-102 (2019). MSC: 47J25 47H09 90C26 PDFBibTeX XMLCite \textit{R. Suparatulatorn} and \textit{S. Suantai}, Carpathian J. Math. 35, No. 1, 95--102 (2019; Zbl 1474.47136)
Yonel, Bariscan; Yazici, Birsen A generalization of Wirtinger flow for exact interferometric inversion. (English) Zbl 1434.94035 SIAM J. Imaging Sci. 12, No. 4, 2119-2164 (2019). MSC: 94A12 94A08 46N10 47N10 47N30 90C90 65D18 90C26 PDFBibTeX XMLCite \textit{B. Yonel} and \textit{B. Yazici}, SIAM J. Imaging Sci. 12, No. 4, 2119--2164 (2019; Zbl 1434.94035) Full Text: DOI arXiv
Dao, Minh N.; Phan, Hung M. Adaptive Douglas-Rachford splitting algorithm for the sum of two operators. (English) Zbl 1440.47054 SIAM J. Optim. 29, No. 4, 2697-2724 (2019). Reviewer: Stepan Agop Tersian (Rousse) MSC: 47J26 47H05 49M27 41A25 65K10 90C25 PDFBibTeX XMLCite \textit{M. N. Dao} and \textit{H. M. Phan}, SIAM J. Optim. 29, No. 4, 2697--2724 (2019; Zbl 1440.47054) Full Text: DOI arXiv
Kong, Weiwei; Melo, Jefferson G.; Monteiro, Renato D. C. Complexity of a quadratic penalty accelerated inexact proximal point method for solving linearly constrained nonconvex composite programs. (English) Zbl 1504.90101 SIAM J. Optim. 29, No. 4, 2566-2593 (2019). MSC: 90C26 90C30 90C60 47J22 65K10 PDFBibTeX XMLCite \textit{W. Kong} et al., SIAM J. Optim. 29, No. 4, 2566--2593 (2019; Zbl 1504.90101) Full Text: DOI arXiv
Rauls, Anne-Therese; Ulbrich, Stefan Computation of a Bouligand generalized derivative for the solution operator of the obstacle problem. (English) Zbl 1425.49004 SIAM J. Control Optim. 57, No. 5, 3223-3248 (2019). MSC: 49J40 35J86 47H04 49J52 58C06 58E35 PDFBibTeX XMLCite \textit{A.-T. Rauls} and \textit{S. Ulbrich}, SIAM J. Control Optim. 57, No. 5, 3223--3248 (2019; Zbl 1425.49004) Full Text: DOI
Nikolova, Mila; Tan, Pauline Alternating structure-adapted proximal gradient descent for nonconvex nonsmooth block-regularized problems. (English) Zbl 1421.90142 SIAM J. Optim. 29, No. 3, 2053-2078 (2019). MSC: 90C30 90C26 90C46 65K05 65K10 65F22 49M37 47J25 PDFBibTeX XMLCite \textit{M. Nikolova} and \textit{P. Tan}, SIAM J. Optim. 29, No. 3, 2053--2078 (2019; Zbl 1421.90142) Full Text: DOI
Boţ, Radu Ioan; Csetnek, Ernö Robert Newton-like dynamics associated to nonconvex optimization problems. (English) Zbl 1432.34025 Hosseini, Seyedehsomayeh (ed.) et al., Nonsmooth optimization and its applications. Based on the workshop “Nonsmooth Optimization and its Applications”, Bonn, Germany, May 15–19, 2017. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 170, 131-149 (2019). Reviewer: Aurelian Cernea (Bucharest) MSC: 34A60 47J25 47H05 90C26 90C30 65K10 PDFBibTeX XMLCite \textit{R. I. Boţ} and \textit{E. R. Csetnek}, ISNM, Int. Ser. Numer. Math. 170, 131--149 (2019; Zbl 1432.34025) Full Text: DOI arXiv
Bauschke, Heinz H.; Dao, Minh N.; Lindstrom, Scott B. The Douglas-Rachford algorithm for a hyperplane and a doubleton. (English) Zbl 1474.49065 J. Glob. Optim. 74, No. 1, 79-93 (2019). MSC: 49M27 47J25 65K05 65K10 90C26 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., J. Glob. Optim. 74, No. 1, 79--93 (2019; Zbl 1474.49065) Full Text: DOI arXiv
Dao, Minh N.; Tam, Matthew K. Union averaged operators with applications to proximal algorithms for MIN-convex functions. (English) Zbl 1420.90047 J. Optim. Theory Appl. 181, No. 1, 61-94 (2019). MSC: 90C26 47H04 PDFBibTeX XMLCite \textit{M. N. Dao} and \textit{M. K. Tam}, J. Optim. Theory Appl. 181, No. 1, 61--94 (2019; Zbl 1420.90047) Full Text: DOI arXiv
Sun, Tao; Barrio, Roberto; Jiang, Hao; Cheng, Lizhi Convergence rates of accelerated proximal gradient algorithms under independent noise. (English) Zbl 1420.90069 Numer. Algorithms 81, No. 2, 631-654 (2019). MSC: 90C30 90C26 47N10 PDFBibTeX XMLCite \textit{T. Sun} et al., Numer. Algorithms 81, No. 2, 631--654 (2019; Zbl 1420.90069) Full Text: DOI
Lamichhane, Bishnu P.; Lindstrom, Scott B.; Sims, Brailey Application of projection algorithms to differential equations: boundary value problems. (English) Zbl 1410.65269 ANZIAM J. 61, No. 1, 23-46 (2019). MSC: 65L10 34B15 47H05 90C26 90C48 65L12 PDFBibTeX XMLCite \textit{B. P. Lamichhane} et al., ANZIAM J. 61, No. 1, 23--46 (2019; Zbl 1410.65269) Full Text: DOI arXiv
Dao, Minh N.; Tam, Matthew K. A Lyapunov-type approach to convergence of the Douglas-Rachford algorithm for a nonconvex setting. (English) Zbl 1417.90118 J. Glob. Optim. 73, No. 1, 83-112 (2019). MSC: 90C26 47H10 37B25 PDFBibTeX XMLCite \textit{M. N. Dao} and \textit{M. K. Tam}, J. Glob. Optim. 73, No. 1, 83--112 (2019; Zbl 1417.90118) Full Text: DOI arXiv
Giladi, Ohad; Rüffer, Björn S. A Lyapunov function construction for a non-convex Douglas-Rachford iteration. (English) Zbl 1440.47052 J. Optim. Theory Appl. 180, No. 3, 729-750 (2019). MSC: 47J25 37N40 90C26 93D30 PDFBibTeX XMLCite \textit{O. Giladi} and \textit{B. S. Rüffer}, J. Optim. Theory Appl. 180, No. 3, 729--750 (2019; Zbl 1440.47052) Full Text: DOI arXiv
Strohmer, Thomas; Wei, Ke Painless breakups – efficient demixing of low rank matrices. (English) Zbl 1428.15017 J. Fourier Anal. Appl. 25, No. 1, 1-31 (2019). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A29 15A18 41A29 65F22 90C26 47N10 PDFBibTeX XMLCite \textit{T. Strohmer} and \textit{K. Wei}, J. Fourier Anal. Appl. 25, No. 1, 1--31 (2019; Zbl 1428.15017) Full Text: DOI arXiv
Brooke, Mark; Censor, Yair; Gibali, Aviv Dynamic string-averaging CQ-methods for the split feasibility problem with percentage violation constraints arising in radiation therapy treatment planning. arXiv:1911.12041 Preprint, arXiv:1911.12041 [math.OC] (2019). MSC: 46N10 47J25 65F10 90C25 90C26 BibTeX Cite \textit{M. Brooke} et al., ``Dynamic string-averaging CQ-methods for the split feasibility problem with percentage violation constraints arising in radiation therapy treatment planning'', Preprint, arXiv:1911.12041 [math.OC] (2019) Full Text: DOI arXiv OA License