Cao, Shanshan; Huo, Xiaoming; Pang, Jong-Shi A unifying framework of high-dimensional sparse estimation with difference-of-convex (DC) regularizations. (English) Zbl 07569969 Stat. Sci. 37, No. 3, 411-424 (2022). MSC: 62-XX PDFBibTeX XMLCite \textit{S. Cao} et al., Stat. Sci. 37, No. 3, 411--424 (2022; Zbl 07569969) Full Text: DOI arXiv Link
vom Dahl, Simeon; Löhne, Andreas Solving polyhedral d.c. optimization problems via concave minimization. (English) Zbl 1491.90135 J. Glob. Optim. 78, No. 1, 37-47 (2020). MSC: 90C26 90C29 52B55 PDFBibTeX XMLCite \textit{S. vom Dahl} and \textit{A. Löhne}, J. Glob. Optim. 78, No. 1, 37--47 (2020; Zbl 1491.90135) Full Text: DOI arXiv
Osawa, Minoru; Akamatsu, Takashi Equilibrium refinement for a model of non-monocentric internal structures of cities: a potential game approach. (English) Zbl 1437.91024 J. Econ. Theory 187, Article ID 105025, 40 p. (2020). MSC: 91A11 91A14 91D20 PDFBibTeX XMLCite \textit{M. Osawa} and \textit{T. Akamatsu}, J. Econ. Theory 187, Article ID 105025, 40 p. (2020; Zbl 1437.91024) Full Text: DOI Link
Dolgopolik, M. V. New global optimality conditions for nonsmooth DC optimization problems. (English) Zbl 1436.90110 J. Glob. Optim. 76, No. 1, 25-55 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 90C26 90C46 PDFBibTeX XMLCite \textit{M. V. Dolgopolik}, J. Glob. Optim. 76, No. 1, 25--55 (2020; Zbl 1436.90110) Full Text: DOI arXiv
Nouiehed, Maher; Pang, Jong-Shi; Razaviyayn, Meisam On the pervasiveness of difference-convexity in optimization and statistics. (English) Zbl 1434.90155 Math. Program. 174, No. 1-2 (B), 195-222 (2019); correction ibid. 174, No. 1-2 (B), 223-224 (2019). Reviewer: Karel Zimmermann (Praha) MSC: 90C26 PDFBibTeX XMLCite \textit{M. Nouiehed} et al., Math. Program. 174, No. 1--2 (B), 195--222 (2019; Zbl 1434.90155) Full Text: DOI arXiv
Dalkiran, Evrim; Ghalami, Laleh On linear programming relaxations for solving polynomial programming problems. (English) Zbl 1458.90521 Comput. Oper. Res. 99, 67-77 (2018). MSC: 90C26 90C30 90C57 PDFBibTeX XMLCite \textit{E. Dalkiran} and \textit{L. Ghalami}, Comput. Oper. Res. 99, 67--77 (2018; Zbl 1458.90521) Full Text: DOI
Ahmadi, Amir Ali; Hall, Georgina DC decomposition of nonconvex polynomials with algebraic techniques. (English) Zbl 1390.90418 Math. Program. 169, No. 1 (B), 69-94 (2018). MSC: 90C22 90C26 90C60 68Q25 PDFBibTeX XMLCite \textit{A. A. Ahmadi} and \textit{G. Hall}, Math. Program. 169, No. 1 (B), 69--94 (2018; Zbl 1390.90418) Full Text: DOI arXiv
Pang, Jong-Shi; Razaviyayn, Meisam; Alvarado, Alberth Computing B-stationary points of nonsmooth DC programs. (English) Zbl 1359.90106 Math. Oper. Res. 42, No. 1, 95-118 (2017). MSC: 90C26 90C30 90B18 PDFBibTeX XMLCite \textit{J.-S. Pang} et al., Math. Oper. Res. 42, No. 1, 95--118 (2017; Zbl 1359.90106) Full Text: DOI arXiv
Gao, Yuelin; Wei, Fei A new bound-and-reduce approach of nonconvex quadratic programming problems. (English) Zbl 1328.90096 Appl. Math. Comput. 250, 298-308 (2015). MSC: 90C20 90C26 90C57 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{F. Wei}, Appl. Math. Comput. 250, 298--308 (2015; Zbl 1328.90096) Full Text: DOI
Maehara, Takanori; Murota, Kazuo A framework of discrete DC programming by discrete convex analysis. (English) Zbl 1327.90264 Math. Program. 152, No. 1-2 (A), 435-466 (2015). MSC: 90C27 90C46 PDFBibTeX XMLCite \textit{T. Maehara} and \textit{K. Murota}, Math. Program. 152, No. 1--2 (A), 435--466 (2015; Zbl 1327.90264) Full Text: DOI
Noor, Muhammad Aslam; Noor, Khalida Inayat; Kamal, Rabia General variational inclusions involving difference of operators. (English) Zbl 1472.47056 J. Inequal. Appl. 2014, Paper No. 98, 16 p. (2014). MSC: 47J22 47H05 47J25 PDFBibTeX XMLCite \textit{M. A. Noor} et al., J. Inequal. Appl. 2014, Paper No. 98, 16 p. (2014; Zbl 1472.47056) Full Text: DOI
Zhang, Qinghua A new necessary and sufficient global optimality condition for canonical DC problems. (English) Zbl 1268.90058 J. Glob. Optim. 55, No. 3, 559-577 (2013). MSC: 90C26 PDFBibTeX XMLCite \textit{Q. Zhang}, J. Glob. Optim. 55, No. 3, 559--577 (2013; Zbl 1268.90058) Full Text: DOI
Huang, Rongbing; Menezes, Mozart B. C.; Kim, Seokjin The impact of cost uncertainty on the location of a distribution center. (English) Zbl 1244.90035 Eur. J. Oper. Res. 218, No. 2, 401-407 (2012). MSC: 90B06 90B05 PDFBibTeX XMLCite \textit{R. Huang} et al., Eur. J. Oper. Res. 218, No. 2, 401--407 (2012; Zbl 1244.90035) Full Text: DOI
Ginchev, Ivan; Martínez-Legaz, Juan-Enrique Characterization of d.c. Functions in terms of quasidifferentials. (English) Zbl 1229.90137 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 17, 6781-6787 (2011). MSC: 90C26 26B25 49J52 PDFBibTeX XMLCite \textit{I. Ginchev} and \textit{J.-E. Martínez-Legaz}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 17, 6781--6787 (2011; Zbl 1229.90137) Full Text: DOI
Polyakova, Lyudmila N. On global unconstrained minimization of the difference of polyhedral functions. (English) Zbl 1242.90180 J. Glob. Optim. 50, No. 2, 179-195 (2011). MSC: 90C26 PDFBibTeX XMLCite \textit{L. N. Polyakova}, J. Glob. Optim. 50, No. 2, 179--195 (2011; Zbl 1242.90180) Full Text: DOI
Bigi, Giancarlo; Frangioni, Antonio; Zhang, Qinghua Outer approximation algorithms for canonical DC problems. (English) Zbl 1188.90199 J. Glob. Optim. 46, No. 2, 163-189 (2010). MSC: 90C26 PDFBibTeX XMLCite \textit{G. Bigi} et al., J. Glob. Optim. 46, No. 2, 163--189 (2010; Zbl 1188.90199) Full Text: DOI Link
Noor, Muhammad Aslam; Noor, Khalida Inayat; Hamdi, Abdelouahed; El-Shemas, Eman H. On difference of two monotone operators. (English) Zbl 1170.47039 Optim. Lett. 3, No. 3, 329-335 (2009). MSC: 47J05 47H05 47J25 47H10 PDFBibTeX XMLCite \textit{M. A. Noor} et al., Optim. Lett. 3, No. 3, 329--335 (2009; Zbl 1170.47039) Full Text: DOI
Boţ, Radu Ioan; Hodrea, Ioan Bogdan; Wanka, Gert Some new Farkas-type results for inequality systems with DC functions. (English) Zbl 1182.90071 J. Glob. Optim. 39, No. 4, 595-608 (2007). Reviewer: R. N. Kaul (Delhi) MSC: 90C26 90C46 PDFBibTeX XMLCite \textit{R. I. Boţ} et al., J. Glob. Optim. 39, No. 4, 595--608 (2007; Zbl 1182.90071) Full Text: DOI
Akrotirianakis, Ioannis G.; Floudas, Christodoulos A. A new class of improved convex underestimators for twice continuously differentiable constrained NLPs. (English) Zbl 1082.90090 J. Glob. Optim. 30, No. 4, 367-390 (2004). MSC: 90C26 PDFBibTeX XMLCite \textit{I. G. Akrotirianakis} and \textit{C. A. Floudas}, J. Glob. Optim. 30, No. 4, 367--390 (2004; Zbl 1082.90090) Full Text: DOI
Le Thi Hoai An; Pham Dinh Tao A continuous approach for globally solving linearly constrained quadratic zero-one programming problems. (English) Zbl 1039.90050 Optimization 50, No. 1-2, 93-120 (2001). Reviewer: Joachim Piehler (Merseburg) MSC: 90C20 90C09 PDFBibTeX XMLCite \textit{Le Thi Hoai An} and \textit{Pham Dinh Tao}, Optimization 50, No. 1--2, 93--120 (2001; Zbl 1039.90050) Full Text: DOI
Dür, Mirjam; Horst, Reiner; Locatelli, Marco Necessary and sufficient global optimality conditions for convex maximization revisited. (English) Zbl 0909.90223 J. Math. Anal. Appl. 217, No. 2, 637-649 (1998). Reviewer: R.De Arcangelis (Napoli) MSC: 90C25 49K10 PDFBibTeX XMLCite \textit{M. Dür} et al., J. Math. Anal. Appl. 217, No. 2, 637--649 (1998; Zbl 0909.90223) Full Text: DOI
Thach, P. T.; Konno, H. D.C. representability of closed sets in reflexive Banach spaces and applications to optimization problems. (English) Zbl 0886.46008 J. Optimization Theory Appl. 91, No. 1, 1-22 (1996). MSC: 46B10 46G05 46B20 90C48 PDFBibTeX XMLCite \textit{P. T. Thach} and \textit{H. Konno}, J. Optim. Theory Appl. 91, No. 1, 1--22 (1996; Zbl 0886.46008) Full Text: DOI
Androulakis, I. P.; Maranas, C. D.; Floudas, C. A. \(\alpha BB\): A global optimization method for general constrained nonconvex problems. (English) Zbl 0846.90087 J. Glob. Optim. 7, No. 4, 337-363 (1995). MSC: 90C26 90C30 PDFBibTeX XMLCite \textit{I. P. Androulakis} et al., J. Glob. Optim. 7, No. 4, 337--363 (1995; Zbl 0846.90087) Full Text: DOI
Sherali, Hanif D.; Tuncbilek, Cihan H. A reformulation-convexification approach for solving nonconvex quadratic programming problems. (English) Zbl 0844.90064 J. Glob. Optim. 7, No. 1, 1-31 (1995). MSC: 90C20 90C26 PDFBibTeX XMLCite \textit{H. D. Sherali} and \textit{C. H. Tuncbilek}, J. Glob. Optim. 7, No. 1, 1--31 (1995; Zbl 0844.90064) Full Text: DOI
Tuy, Hoang; Al-Khayyal, Faiz; Zhou, Fangjun A d.c. optimization method for single facility location problems. (English) Zbl 0841.90082 J. Glob. Optim. 7, No. 2, 209-227 (1995). MSC: 90B85 49J52 90C30 PDFBibTeX XMLCite \textit{H. Tuy} et al., J. Glob. Optim. 7, No. 2, 209--227 (1995; Zbl 0841.90082) Full Text: DOI
Thai Quynh Phong; Pham Dinh Tao; Le Thi Hoai An A method for solving d.c. programming problems. Application to fuel mixture nonconvex optimization problem. (English) Zbl 0835.90096 J. Glob. Optim. 6, No. 1, 87-105 (1995). MSC: 90C30 PDFBibTeX XMLCite \textit{Thai Quynh Phong} et al., J. Glob. Optim. 6, No. 1, 87--105 (1995; Zbl 0835.90096) Full Text: DOI
Horst, R.; Muu, L. D.; Nast, M. Branch-and-bound decomposition approach for solving quasiconvex-concave programs. (English) Zbl 0827.90117 J. Optimization Theory Appl. 82, No. 2, 267-293 (1994). Reviewer: S.Shih (Tianjin) MSC: 90C26 90C30 90C32 PDFBibTeX XMLCite \textit{R. Horst} et al., J. Optim. Theory Appl. 82, No. 2, 267--293 (1994; Zbl 0827.90117) Full Text: DOI
Floudas, C. A.; Visweswaran, V. Primal-relaxed dual global optimization approach. (English) Zbl 0796.90056 J. Optimization Theory Appl. 78, No. 2, 187-225 (1993). MSC: 90C30 90C26 PDFBibTeX XMLCite \textit{C. A. Floudas} and \textit{V. Visweswaran}, J. Optim. Theory Appl. 78, No. 2, 187--225 (1993; Zbl 0796.90056) Full Text: DOI
Le Dung Muu An algorithm for solving convex programs with an additional convex- concave constraint. (English) Zbl 0783.90100 Math. Program. 61, No. 1 (A), 75-87 (1993). MSC: 90C25 PDFBibTeX XMLCite \textit{Le Dung Muu}, Math. Program. 61, No. 1 (A), 75--87 (1993; Zbl 0783.90100) Full Text: DOI
Muu, Lê D.; Oettli, W. Combined branch-and-bound and cutting plane methods for solving a class of nonlinear programming problems. (English) Zbl 0780.90088 J. Glob. Optim. 3, No. 3, 377-391 (1993). MSC: 90C30 90C26 PDFBibTeX XMLCite \textit{L. D. Muu} and \textit{W. Oettli}, J. Glob. Optim. 3, No. 3, 377--391 (1993; Zbl 0780.90088) Full Text: DOI
El-Deen Hamed, Ammar Salah; McCormick, Garth Philip Calculation of bounds on variables satisfying nonlinear inequality constraints. (English) Zbl 0845.90105 J. Glob. Optim. 3, No. 1, 25-47 (1993). Reviewer: H.P.Benson (MR 94k:90102) MSC: 90C30 90C26 PDFBibTeX XMLCite \textit{A. S. El-Deen Hamed} and \textit{G. P. McCormick}, J. Glob. Optim. 3, No. 1, 25--47 (1993; Zbl 0845.90105) Full Text: DOI
Horst, R.; Thoai, N. V. Conical algorithm for the global minimization of linearly constrained decomposable concave minimization problems. (English) Zbl 0795.90066 J. Optimization Theory Appl. 74, No. 3, 469-486 (1992). MSC: 90C30 PDFBibTeX XMLCite \textit{R. Horst} and \textit{N. V. Thoai}, J. Optim. Theory Appl. 74, No. 3, 469--486 (1992; Zbl 0795.90066) Full Text: DOI
Al-Khayyal, Faiz A.; Horst, Reiner; Pardalos, Panos M. Global optimization of concave functions subject to quadratic constraints: An application in nonlinear bilevel programming. (English) Zbl 0751.90066 Ann. Oper. Res. 34, 125-147 (1992). MSC: 90C30 90-08 93A13 90C10 91A65 PDFBibTeX XMLCite \textit{F. A. Al-Khayyal} et al., Ann. Oper. Res. 34, 125--147 (1992; Zbl 0751.90066) Full Text: DOI
Pardalos, Panos M. Global optimization algorithms for linearly constrained indefinite quadratic problems. (English) Zbl 0733.90051 Comput. Math. Appl. 21, No. 6-7, 87-97 (1991). Reviewer: D.I.Duca (Cluj-Napoca) MSC: 90C20 90C26 90-08 90C08 PDFBibTeX XMLCite \textit{P. M. Pardalos}, Comput. Math. Appl. 21, No. 6--7, 87--97 (1991; Zbl 0733.90051) Full Text: DOI
Horst, R.; Phong, T. Q.; Thoai, Ng. V.; de Vries, J. On solving a d.c. programming problem by a sequence of linear programs. (English) Zbl 0755.90076 J. Glob. Optim. 1, No. 2, 183-203 (1991). Reviewer: M.Gaviano (Cagliari) MSC: 90C30 90-08 PDFBibTeX XMLCite \textit{R. Horst} et al., J. Glob. Optim. 1, No. 2, 183--203 (1991; Zbl 0755.90076) Full Text: DOI
Muu, L. D.; Oettli, W. Method for minimizing a convex-concave function over a convex set. (English) Zbl 0743.90101 J. Optimization Theory Appl. 70, No. 2, 377-384 (1991). Reviewer: P.Pan (Nanjing) MSC: 90C30 90-08 65K05 PDFBibTeX XMLCite \textit{L. D. Muu} and \textit{W. Oettli}, J. Optim. Theory Appl. 70, No. 2, 377--384 (1991; Zbl 0743.90101) Full Text: DOI
Phan Thiên Thąch; Tuy, Hoàng The relief indicator method for constrained global optimization. (English) Zbl 0718.90083 Nav. Res. Logist. 37, No. 4, 473-497 (1990). Reviewer: A.Zinober (Sheffield) MSC: 90C30 65K05 90C26 90-08 PDFBibTeX XMLCite \textit{Phan Thiên Thąch} and \textit{H. Tuy}, Nav. Res. Logist. 37, No. 4, 473--497 (1990; Zbl 0718.90083) Full Text: DOI
Aggarwal, Avanish; Floudas, Christodoulos A. A decomposition approach for global optimum search in QP, NLP and MINLP problems. (English) Zbl 0717.90059 Ann. Oper. Res. 25, No. 1-4, 119-146 (1990). MSC: 90C26 90-08 49M27 90C20 65K05 PDFBibTeX XMLCite \textit{A. Aggarwal} and \textit{C. A. Floudas}, Ann. Oper. Res. 25, No. 1--4, 119--146 (1990; Zbl 0717.90059) Full Text: DOI
Horst, Reiner; Phong, Thai Q.; Thoai, Nguyen V. On solving general reverse convex programming problems by a sequence of linear programs and line searches. (English) Zbl 0717.90057 Ann. Oper. Res. 25, No. 1-4, 1-18 (1990). MSC: 90C25 90-08 PDFBibTeX XMLCite \textit{R. Horst} et al., Ann. Oper. Res. 25, No. 1--4, 1--18 (1990; Zbl 0717.90057) Full Text: DOI
Horst, Reiner Deterministic methods in constrained global optimization: Some recent advances and new fields of application. (English) Zbl 0709.90093 Nav. Res. Logist. 37, No. 4, 433-471 (1990). Reviewer: K.Schittkowski MSC: 90C30 65K05 90-08 90-02 90C26 PDFBibTeX XMLCite \textit{R. Horst}, Nav. Res. Logist. 37, No. 4, 433--471 (1990; Zbl 0709.90093) Full Text: DOI
Phan Thien Thach A decomposition method for the min concave cost flow problem with a staircase structure. (English) Zbl 0695.90042 Japan J. Appl. Math. 7, No. 1, 103-120 (1990). Reviewer: J.Kamburowski MSC: 90B10 90C35 PDFBibTeX XMLCite \textit{Phan Thien Thach}, Japan J. Appl. Math. 7, No. 1, 103--120 (1990; Zbl 0695.90042) Full Text: DOI
Thach, P. T. Convex minimization under Lipschitz constraints. (English) Zbl 0679.90048 J. Optimization Theory Appl. 64, No. 3, 595-614 (1990). Reviewer: Phan Thien Thach MSC: 90C25 65K05 90C20 90-08 PDFBibTeX XMLCite \textit{P. T. Thach}, J. Optim. Theory Appl. 64, No. 3, 595--614 (1990; Zbl 0679.90048) Full Text: DOI