Hager, William W.; Zhang, Hongchao Convergence rates for an inexact ADMM applied to separable convex optimization. (English) Zbl 1466.90072 Comput. Optim. Appl. 77, No. 3, 729-754 (2020). MSC: 90C25 90C06 65Y20 PDFBibTeX XMLCite \textit{W. W. Hager} and \textit{H. Zhang}, Comput. Optim. Appl. 77, No. 3, 729--754 (2020; Zbl 1466.90072) Full Text: DOI arXiv
Hager, William W.; Zhang, Hongchao Inexact alternating direction methods of multipliers for separable convex optimization. (English) Zbl 1414.90228 Comput. Optim. Appl. 73, No. 1, 201-235 (2019). MSC: 90C06 90C25 65Y20 PDFBibTeX XMLCite \textit{W. W. Hager} and \textit{H. Zhang}, Comput. Optim. Appl. 73, No. 1, 201--235 (2019; Zbl 1414.90228) Full Text: DOI arXiv
Cao, Huiping; Yao, Lan A partitioned PSB method for partially separable unconstrained optimization problems. (English) Zbl 1410.90247 Appl. Math. Comput. 290, 164-177 (2016). MSC: 90C53 65K10 90C06 PDFBibTeX XMLCite \textit{H. Cao} and \textit{L. Yao}, Appl. Math. Comput. 290, 164--177 (2016; Zbl 1410.90247) Full Text: DOI
Fercoq, Olivier; Richtárik, Peter Optimization in high dimensions via accelerated, parallel, and proximal coordinate descent. (English) Zbl 1353.65053 SIAM Rev. 58, No. 4, 739-771 (2016). MSC: 65K05 90C25 65Y05 90C06 90C05 90C22 PDFBibTeX XMLCite \textit{O. Fercoq} and \textit{P. Richtárik}, SIAM Rev. 58, No. 4, 739--771 (2016; Zbl 1353.65053) Full Text: DOI
Richtárik, Peter; Takáč, Martin Parallel coordinate descent methods for big data optimization. (English) Zbl 1342.90102 Math. Program. 156, No. 1-2 (A), 433-484 (2016). MSC: 90C06 90C25 49M20 49M27 65K05 68W10 68W20 68W40 PDFBibTeX XMLCite \textit{P. Richtárik} and \textit{M. Takáč}, Math. Program. 156, No. 1--2 (A), 433--484 (2016; Zbl 1342.90102) Full Text: DOI arXiv
Tran-Dinh, Q.; Necoara, I.; Diehl, M. Fast inexact decomposition algorithms for large-scale separable convex optimization. (English) Zbl 1332.90163 Optimization 65, No. 2, 325-356 (2016). MSC: 90C06 90C25 90-08 PDFBibTeX XMLCite \textit{Q. Tran-Dinh} et al., Optimization 65, No. 2, 325--356 (2016; Zbl 1332.90163) Full Text: DOI arXiv
Fang, Ethan X.; He, Bingsheng; Liu, Han; Yuan, Xiaoming Generalized alternating direction method of multipliers: new theoretical insights and applications. (English) Zbl 1353.90110 Math. Program. Comput. 7, No. 2, 149-187 (2015). Reviewer: Igor V. Konnov (Kazan) MSC: 90C25 90C06 62J05 PDFBibTeX XMLCite \textit{E. X. Fang} et al., Math. Program. Comput. 7, No. 2, 149--187 (2015; Zbl 1353.90110) Full Text: DOI Link
Tran Dinh, Quoc; Savorgnan, Carlo; Diehl, Moritz Combining Lagrangian decomposition and excessive gap smoothing technique for solving large-scale separable convex optimization problems. (English) Zbl 1295.90048 Comput. Optim. Appl. 55, No. 1, 75-111 (2013). MSC: 90C25 90C06 PDFBibTeX XMLCite \textit{Q. Tran Dinh} et al., Comput. Optim. Appl. 55, No. 1, 75--111 (2013; Zbl 1295.90048) Full Text: DOI arXiv
Dinh, Quoc Tran; Necoara, Ion; Savorgnan, Carlo; Diehl, Moritz An inexact perturbed path-following method for Lagrangian decomposition in large-scale separable convex optimization. (English) Zbl 1284.90049 SIAM J. Optim. 23, No. 1, 95-125 (2013). Reviewer: Rita Pini (Milano) MSC: 90C25 49M27 90C06 49M15 90C51 PDFBibTeX XMLCite \textit{Q. T. Dinh} et al., SIAM J. Optim. 23, No. 1, 95--125 (2013; Zbl 1284.90049) Full Text: DOI arXiv
Zheng, Fangying; Han, Congying; Wang, Yongli Parallel SSLE algorithm for large scale constrained optimization. (English) Zbl 1210.90164 Appl. Math. Comput. 217, No. 12, 5377-5384 (2011). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 90C30 90C06 65K05 PDFBibTeX XMLCite \textit{F. Zheng} et al., Appl. Math. Comput. 217, No. 12, 5377--5384 (2011; Zbl 1210.90164) Full Text: DOI
Hager, William W.; Phan, Dzung T.; Zhang, Hongchao Gradient-based methods for sparse recovery. (English) Zbl 1209.90266 SIAM J. Imaging Sci. 4, No. 1, 146-165 (2011). MSC: 90C06 90C25 65Y20 94A08 PDFBibTeX XMLCite \textit{W. W. Hager} et al., SIAM J. Imaging Sci. 4, No. 1, 146--165 (2011; Zbl 1209.90266) Full Text: DOI arXiv
He, Zhenhua; Bai, Fushen Decomposition methods for quadratic penalty function. (Chinese. English summary) Zbl 1225.90079 J. Chongqing Norm. Univ., Nat. Sci. 27, No. 1, 11-15 (2010). MSC: 90C06 PDFBibTeX XMLCite \textit{Z. He} and \textit{F. Bai}, J. Chongqing Norm. Univ., Nat. Sci. 27, No. 1, 11--15 (2010; Zbl 1225.90079)
Lukšan, Ladislav; Matonoha, Ctirad; Vlček, Jan Algorithm 896: LSA: algorithms for large-scale optimization. (English) Zbl 1364.65128 ACM Trans. Math. Softw. 36, No. 3, Article No. 16, 29 p. (2009). MSC: 65K10 65H10 65Y15 90C06 PDFBibTeX XMLCite \textit{L. Lukšan} et al., ACM Trans. Math. Softw. 36, No. 3, Article No. 16, 29 p. (2009; Zbl 1364.65128) Full Text: DOI
Hamdi, Abdelouahed; Al-Shemas, Eman A log-sigmoid regularization method for saddle point seeking. (English) Zbl 1114.65060 Int. J. Appl. Math. 19, No. 3, 309-319 (2006). MSC: 65K05 90C25 90C06 PDFBibTeX XMLCite \textit{A. Hamdi} and \textit{E. Al-Shemas}, Int. J. Appl. Math. 19, No. 3, 309--319 (2006; Zbl 1114.65060)
Bagirov, Adil M.; Ugon, Julien Piecewise partially separable functions and a derivative-free algorithm for large scale nonsmooth optimization. (English) Zbl 1136.90515 J. Glob. Optim. 35, No. 2, 163-195 (2006). MSC: 90C56 90C30 PDFBibTeX XMLCite \textit{A. M. Bagirov} and \textit{J. Ugon}, J. Glob. Optim. 35, No. 2, 163--195 (2006; Zbl 1136.90515) Full Text: DOI Link
Lukšan, Ladislav; Vlček, Jan Variable metrid method for minimization of partially separable nonsmooth functions. (English) Zbl 1147.65316 Pac. J. Optim. 2, No. 1, 59-70 (2006). MSC: 65K05 90C30 90C06 PDFBibTeX XMLCite \textit{L. Lukšan} and \textit{J. Vlček}, Pac. J. Optim. 2, No. 1, 59--70 (2006; Zbl 1147.65316)
Haftka, Raphael T.; Watson, Layne T. Multidisciplinary design optimization with quasiseparable subsystems. (English) Zbl 1093.90026 Optim. Eng. 6, No. 1, 9-20 (2005). MSC: 90C06 PDFBibTeX XMLCite \textit{R. T. Haftka} and \textit{L. T. Watson}, Optim. Eng. 6, No. 1, 9--20 (2005; Zbl 1093.90026) Full Text: DOI
Xue, Hongang; Xu, Chengxian; Xu, Fengmin A branch and bound algorithm for separable concave programming. (English) Zbl 1068.65081 J. Comput. Math. 22, No. 6, 895-904 (2004). Reviewer: Ferenc Szidarovszky (Tucson) MSC: 65K05 90C26 90C57 PDFBibTeX XMLCite \textit{H. Xue} et al., J. Comput. Math. 22, No. 6, 895--904 (2004; Zbl 1068.65081)
Auslender, Alfred; Teboulle, Marc The log-quadratic proximal methodology in convex optimization algorithms and variational inequalities. (English) Zbl 1129.90337 Daniele, Patrizia (ed.) et al., Equilibrium problems and variational models. Based on the meeting, Erice, Italy, June 23–July 2, 2000. Boston, MA: Kluwer Academic Publishers (ISBN 1-4020-7470-0/hbk). Nonconvex Optim. Appl. 68, 19-52 (2003). MSC: 90C25 49J40 PDFBibTeX XMLCite \textit{A. Auslender} and \textit{M. Teboulle}, Nonconvex Optim. Appl. 68, 19--52 (2003; Zbl 1129.90337)
Bischof, Christian H.; Bouaricha, Ali; Khademi, Peyvand M.; Moré, Jorge J. Computing gradients in large-scale optimization using automatic differentiation. (English) Zbl 0885.90100 INFORMS J. Comput. 9, No. 2, 185-194 (1997). MSC: 90C30 65D25 90C06 PDFBibTeX XMLCite \textit{C. H. Bischof} et al., INFORMS J. Comput. 9, No. 2, 185--194 (1997; Zbl 0885.90100) Full Text: DOI Link
Kaufman, Linda; Sylvester, Garrett Separable nonlinear least squares with multiple right-hand sides. (English) Zbl 0755.65065 SIAM J. Matrix Anal. Appl. 13, No. 1, 68-89 (1992). Reviewer: M.Gaşpar (Iaşi) MSC: 65K10 65C99 90C06 93E24 PDFBibTeX XMLCite \textit{L. Kaufman} and \textit{G. Sylvester}, SIAM J. Matrix Anal. Appl. 13, No. 1, 68--89 (1992; Zbl 0755.65065) Full Text: DOI
Phillips, A. T.; Rosen, J. B. A parallel algorithm for partially separable non-convex global minimization: Linear constraints. (English) Zbl 0723.90063 Ann. Oper. Res. 25, No. 1-4, 101-118 (1990). Reviewer: S.Mititelu (Bucureşti) MSC: 90C26 90-08 90C30 90C06 90C25 PDFBibTeX XMLCite \textit{A. T. Phillips} and \textit{J. B. Rosen}, Ann. Oper. Res. 25, No. 1--4, 101--118 (1990; Zbl 0723.90063) Full Text: DOI
Li, Duan; Haimes, Yacov Y. Multilevel methodology for a class of non-separable optimization problems. (English) Zbl 0721.90064 Int. J. Syst. Sci. 21, No. 11, 2351-2360 (1990). Reviewer: M.Papageorgiou (München) MSC: 90C29 90C30 90-08 90C06 49M27 PDFBibTeX XMLCite \textit{D. Li} and \textit{Y. Y. Haimes}, Int. J. Syst. Sci. 21, No. 11, 2351--2360 (1990; Zbl 0721.90064) Full Text: DOI
Tatjewski, P.; Engelmann, B. Two-level primal-dual decomposition technique for large-scale nonconvex optimization problems with constraints. (English) Zbl 0713.90059 J. Optimization Theory Appl. 64, No. 1, 183-205 (1990). Reviewer: M.Gaviano MSC: 90C26 49M27 90-08 90C30 90C06 PDFBibTeX XMLCite \textit{P. Tatjewski} and \textit{B. Engelmann}, J. Optim. Theory Appl. 64, No. 1, 183--205 (1990; Zbl 0713.90059) Full Text: DOI
Feng, X.; Mukai, H.; Brown, R. H. New decomposition and convexification algorithm for nonconvex large-scale primal-dual optimization. (English) Zbl 0696.90053 J. Optimization Theory Appl. 67, No. 2, 279-296 (1990). Reviewer: X.Feng MSC: 90C26 65K05 90C06 90C30 90-08 PDFBibTeX XMLCite \textit{X. Feng} et al., J. Optim. Theory Appl. 67, No. 2, 279--296 (1990; Zbl 0696.90053) Full Text: DOI
Tatjewski, P. New dual-type decomposition algorithm for non-convex separable optimization problems. (English) Zbl 0685.49023 Automatica 25, No. 2, 233-242 (1989). MSC: 49M27 65K05 90C30 PDFBibTeX XMLCite \textit{P. Tatjewski}, Automatica 25, No. 2, 233--242 (1989; Zbl 0685.49023) Full Text: DOI
Tatjewski, P.; Engelmann, B. Two-level primal-dual decomposition technique for large-scale nonconvex optimization problems with constraints. (English) Zbl 0666.90060 J. Optimization Theory Appl. (to appear). Reviewer: P.Tatjewski MSC: 90C30 65K05 49M27 49M37 90C06 PDFBibTeX XML
Tanikawa, Akio; Mukai, Hiro A new technique for nonconvex primal-dual decomposition of a large-scale separable optimization problem. (English) Zbl 0553.90087 IEEE Trans. Autom. Control 30, 133-143 (1985). MSC: 90C30 90C52 65K05 49M37 PDFBibTeX XMLCite \textit{A. Tanikawa} and \textit{H. Mukai}, IEEE Trans. Autom. Control 30, 133--143 (1985; Zbl 0553.90087) Full Text: DOI
Bahr, Martin Ein Quasi-Newton-Verfahren zur Lösung einer Klasse von nichtlinearen restringierten Optimierungsproblemen. (A quasi-Newton method for the solution of a class of nonlinear constrained optimization problems). (German) Zbl 0583.90082 Julius-Maximilians-Universität Würzburg. 77 S. (1984). Reviewer: K.Schittkowski MSC: 90C30 49M37 65K05 PDFBibTeX XML
Presman, L. S. Nichtlineare und variante Probleme der Optimierung von Entwicklung und Verteilung. (Russian) Zbl 0421.90065 Èkon. Mat. Metody 14, 1113-1126 (1978). MSC: 90C30 90C10 90C90 90B30 65K05 PDFBibTeX XMLCite \textit{L. S. Presman}, Èkon. Mat. Metody 14, 1113--1126 (1978; Zbl 0421.90065)