Barkova, M. V.; Strekalovskiy, A. S. Computational study of local search methods for a D.C. optimization problem with inequality constraints. (English) Zbl 1522.90114 Olenev, Nicholas N. (ed.) et al., Optimization and applications. 12th international conference, OPTIMA 2021, Petrovac, Montenegro, September 27 – October 1, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13078, 94-109 (2021). MSC: 90C26 90-10 PDFBibTeX XMLCite \textit{M. V. Barkova} and \textit{A. S. Strekalovskiy}, Lect. Notes Comput. Sci. 13078, 94--109 (2021; Zbl 1522.90114) Full Text: DOI
Strekalovsky, Alexander S. On a global search in D.C. optimization problems. (English) Zbl 1477.90075 Jaćimović, Milojica (ed.) et al., Optimization and applications. 10th international conference, OPTIMA 2019, Petrovac, Montenegro, September 30 – October 4, 2019. Revised selected papers. Cham: Springer. Commun. Comput. Inf. Sci. 1145, 222-236 (2020). MSC: 90C26 PDFBibTeX XMLCite \textit{A. S. Strekalovsky}, Commun. Comput. Inf. Sci. 1145, 222--236 (2020; Zbl 1477.90075) Full Text: DOI
Olbryś, Andrzej On a separation theorem for delta-convex functions. (English) Zbl 1464.26011 Ann. Math. Sil. 34, No. 1, 133-141 (2020). Reviewer: Sorin-Mihai Grad (Wien) MSC: 26B25 26A51 39B22 39B62 PDFBibTeX XMLCite \textit{A. Olbryś}, Ann. Math. Sil. 34, No. 1, 133--141 (2020; Zbl 1464.26011) Full Text: DOI
Orlov, Andrei V. On a solving bilevel d.c.-convex optimization problems. (English) Zbl 1460.90146 Kochetov, Yury (ed.) et al., Mathematical optimization theory and operations research. 19th international conference, MOTOR 2020, Novosibirsk, Russia, July 6–10, 2020. Revised selected papers. Cham: Springer. Commun. Comput. Inf. Sci. 1275, 179-191 (2020). MSC: 90C26 90C25 PDFBibTeX XMLCite \textit{A. V. Orlov}, Commun. Comput. Inf. Sci. 1275, 179--191 (2020; Zbl 1460.90146) Full Text: DOI
Barkova, Maria V. On generating nonconvex optimization test problems. (English) Zbl 1443.90278 Khachay, Michael (ed.) et al., Mathematical optimization theory and operations research. 18th international conference, MOTOR 2019, Ekaterinburg, Russia, July 8–12, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11548, 21-33 (2019). MSC: 90C26 PDFBibTeX XMLCite \textit{M. V. Barkova}, Lect. Notes Comput. Sci. 11548, 21--33 (2019; Zbl 1443.90278) Full Text: DOI
Strekalovsky, Alexander S.; Minarchenko, Ilya M. A local search method for optimization problem with d.c. inequality constraints. (English) Zbl 1480.90208 Appl. Math. Modelling 58, 229-244 (2018). MSC: 90C26 PDFBibTeX XMLCite \textit{A. S. Strekalovsky} and \textit{I. M. Minarchenko}, Appl. Math. Modelling 58, 229--244 (2018; Zbl 1480.90208) Full Text: DOI
Ren, Yonghong; Cao, Lina A smooth D.C. approximation of probabilistic constrained optimization problems. (Chinese. English summary) Zbl 1413.90191 J. Liaoning Norm. Univ., Nat. Sci. 41, No. 1, 17-21 (2018). MSC: 90C15 90C59 PDFBibTeX XMLCite \textit{Y. Ren} and \textit{L. Cao}, J. Liaoning Norm. Univ., Nat. Sci. 41, No. 1, 17--21 (2018; Zbl 1413.90191)
Veselý, Libor; Zajíček, Luděk A non-DC function which is DC along all convex curves. (English) Zbl 1387.26029 J. Math. Anal. Appl. 463, No. 1, 167-175 (2018). MSC: 26B25 26A51 PDFBibTeX XMLCite \textit{L. Veselý} and \textit{L. Zajíček}, J. Math. Anal. Appl. 463, No. 1, 167--175 (2018; Zbl 1387.26029) Full Text: DOI Link
Strekalovsky, Alexander S. Global optimality conditions in nonconvex optimization. (English) Zbl 1373.90121 J. Optim. Theory Appl. 173, No. 3, 770-792 (2017). MSC: 90C26 PDFBibTeX XMLCite \textit{A. S. Strekalovsky}, J. Optim. Theory Appl. 173, No. 3, 770--792 (2017; Zbl 1373.90121) Full Text: DOI
Strekalovskiy, Alexander; Musatova, Elena On solution of one equation with d.c. function. (English) Zbl 1387.65055 Informatica, Vilnius 27, No. 2, 367-386 (2016). MSC: 65K05 90C26 PDFBibTeX XMLCite \textit{A. Strekalovskiy} and \textit{E. Musatova}, Informatica, Vilnius 27, No. 2, 367--386 (2016; Zbl 1387.65055) Full Text: Link
Strekalovsky, Alexander S. On the merit and penalty functions for the d.c. optimization. (English) Zbl 1392.90093 Kochetov, Yury (ed.) et al., Discrete optimization and operations research. 9th international conference, DOOR 2016, Vladivostok, Russia, September 19–23, 2016. Proceedings. Cham: Springer (ISBN 978-3-319-44913-5/pbk; 978-3-319-44914-2/ebook). Lecture Notes in Computer Science 9869, 452-466 (2016). MSC: 90C26 PDFBibTeX XMLCite \textit{A. S. Strekalovsky}, Lect. Notes Comput. Sci. 9869, 452--466 (2016; Zbl 1392.90093) Full Text: DOI
Veselý, Libor; Zajíček, Luděk Spaces of d.c.mappings on arbitrary intervals. (English) Zbl 1373.46018 J. Convex Anal. 23, No. 4, 1161-1183 (2016). Reviewer: Michael Dymond (Innsbruck) MSC: 46E15 47H99 26A51 46E40 PDFBibTeX XMLCite \textit{L. Veselý} and \textit{L. Zajíček}, J. Convex Anal. 23, No. 4, 1161--1183 (2016; Zbl 1373.46018) Full Text: Link
Strekalovsky, Alexander S.; Yanulevich, Maxim V. On global search in nonconvex optimal control problems. (English) Zbl 1338.49045 J. Glob. Optim. 65, No. 1, 119-135 (2016). MSC: 49K15 PDFBibTeX XMLCite \textit{A. S. Strekalovsky} and \textit{M. V. Yanulevich}, J. Glob. Optim. 65, No. 1, 119--135 (2016; Zbl 1338.49045) Full Text: DOI
Pokorný, Dušan; Rataj, Jan Normal cycles and curvature measures of sets with d.c. boundary. (English) Zbl 1286.58002 Adv. Math. 248, 963-985 (2013). MSC: 58A25 26B25 53C65 PDFBibTeX XMLCite \textit{D. Pokorný} and \textit{J. Rataj}, Adv. Math. 248, 963--985 (2013; Zbl 1286.58002) Full Text: DOI arXiv
Ginchev, Ivan; Gintcheva, Denitza Characterization and recognition of d.c. functions. (English) Zbl 1284.26014 J. Glob. Optim. 57, No. 3, 633-647 (2013). MSC: 26B25 49J52 PDFBibTeX XMLCite \textit{I. Ginchev} and \textit{D. Gintcheva}, J. Glob. Optim. 57, No. 3, 633--647 (2013; Zbl 1284.26014) Full Text: DOI
Dür, Mirjam; Hiriart-Urruty, Jean-Baptiste Testing copositivity with the help of difference-of-convex optimization. (English) Zbl 1290.90062 Math. Program. 140, No. 1 (B), 31-43 (2013). Reviewer: Stephan Dempe (Freiberg) MSC: 90C26 46N10 15A63 PDFBibTeX XMLCite \textit{M. Dür} and \textit{J.-B. Hiriart-Urruty}, Math. Program. 140, No. 1 (B), 31--43 (2013; Zbl 1290.90062) Full Text: DOI
Le Thi, H. A.; Vaz, A. I. F.; Vicente, L. N. Optimizing radial basis functions by d.c. programming and its use in direct search for global derivative-free optimization. (English) Zbl 1267.90110 Top 20, No. 1, 190-214 (2012). MSC: 90C26 90C30 90C56 PDFBibTeX XMLCite \textit{H. A. Le Thi} et al., Top 20, No. 1, 190--214 (2012; Zbl 1267.90110) Full Text: DOI
Aboussoror, Abdelmalek; Adly, Samir; Jalby, Vincent Weak nonlinear bilevel problems: existence of solutions via reverse convex and convex maximization problems. (English) Zbl 1257.90074 J. Ind. Manag. Optim. 7, No. 3, 559-571 (2011). MSC: 90C26 91A10 91A65 52A41 91A05 PDFBibTeX XMLCite \textit{A. Aboussoror} et al., J. Ind. Manag. Optim. 7, No. 3, 559--571 (2011; Zbl 1257.90074) 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
Llanas, Bernardo; Sáinz, Francisco Javier Uniform tree approximation by global optimization techniques. (English) Zbl 1225.41006 Comput. Vis. Sci. 13, No. 2, 83-97 (2010). Reviewer: Daniel Wulbert (La Jolla) MSC: 41A45 PDFBibTeX XMLCite \textit{B. Llanas} and \textit{F. J. Sáinz}, Comput. Vis. Sci. 13, No. 2, 83--97 (2010; Zbl 1225.41006) Full Text: DOI
Bomze, Immanuel M.; Lemaréchal, Claude Necessary conditions for local optimality in difference-of-convex programming. (English) Zbl 1201.90199 J. Convex Anal. 17, No. 2, 673-680 (2010). Reviewer: Stephan Dempe (Freiberg) MSC: 90C46 90C26 PDFBibTeX XMLCite \textit{I. M. Bomze} and \textit{C. Lemaréchal}, J. Convex Anal. 17, No. 2, 673--680 (2010; Zbl 1201.90199) Full Text: Link
Veselý, Libor; Zajícěk, Luděk On extensions of d. c. functions and convex functions. (English) Zbl 1189.26024 J. Convex Anal. 17, No. 2, 427-440 (2010). MSC: 26B25 46B99 PDFBibTeX XMLCite \textit{L. Veselý} and \textit{L. Zajícěk}, J. Convex Anal. 17, No. 2, 427--440 (2010; Zbl 1189.26024) Full Text: arXiv Link
Cánovas, María J.; Hantoute, Abderrahim; López, Marco A.; Parra, Juan Lipschitz modulus in convex semi-infinite optimization via d.c. functions. (English) Zbl 1198.90375 ESAIM, Control Optim. Calc. Var. 15, No. 4, 763-781 (2009). Reviewer: Francisco Guerra Vazquez (Puebla) MSC: 90C34 49J53 90C25 90C31 PDFBibTeX XMLCite \textit{M. J. Cánovas} et al., ESAIM, Control Optim. Calc. Var. 15, No. 4, 763--781 (2009; Zbl 1198.90375) Full Text: DOI EuDML
Veselý, Libor; Zajícek, Luděk On compositions of d.c. functions and mappings. (English) Zbl 1182.46011 J. Convex Anal. 16, No. 2, 423-439 (2009). MSC: 46B99 26B25 52A41 PDFBibTeX XMLCite \textit{L. Veselý} and \textit{L. Zajícek}, J. Convex Anal. 16, No. 2, 423--439 (2009; Zbl 1182.46011) Full Text: arXiv Link
Lahoussine, Lafhim; Elhilali, Ahmed Alaoui; Gadhi, N. Set-valued mapping monotonicity as characterization of D.C functions. (English) Zbl 1222.46005 Positivity 13, No. 2, 399-405 (2009). MSC: 46A40 46A22 46B40 46B42 PDFBibTeX XMLCite \textit{L. Lahoussine} et al., Positivity 13, No. 2, 399--405 (2009; Zbl 1222.46005) Full Text: DOI
Pavlica, David; Zajíček, Luděk On the directions of segments and \(r\)-dimensional balls on a convex surface. (English) Zbl 1127.52005 J. Convex Anal. 14, No. 1, 149-167 (2007). MSC: 52A20 26B25 PDFBibTeX XMLCite \textit{D. Pavlica} and \textit{L. Zajíček}, J. Convex Anal. 14, No. 1, 149--167 (2007; Zbl 1127.52005)
Holický, P.; Kalenda, O. F. K.; Veselý, L.; Zajíček, L. Quotients of continuous convex functions on nonreflexive Banach spaces. (English) Zbl 1135.46005 Bull. Pol. Acad. Sci., Math. 55, No. 3, 211-217 (2007). MSC: 46B10 46B03 PDFBibTeX XMLCite \textit{P. Holický} et al., Bull. Pol. Acad. Sci., Math. 55, No. 3, 211--217 (2007; Zbl 1135.46005) Full Text: DOI arXiv
Wang, Wei; Pang, Li-Ping; Xia, Zun-Quan The \(\mathcal{UV}\)-decomposition on a class of d.c. functions and optimality conditions. (English) Zbl 1119.90052 Acta Math. Appl. Sin., Engl. Ser. 23, No. 1, 29-38 (2007). Reviewer: Samir Kumar Neogy (New Delhi) MSC: 90C30 90C25 PDFBibTeX XMLCite \textit{W. Wang} et al., Acta Math. Appl. Sin., Engl. Ser. 23, No. 1, 29--38 (2007; Zbl 1119.90052) Full Text: DOI
Veselý, Libor; Zajícek, Ludek On connections between delta-convex mappings and convex operators. (English) Zbl 1115.47048 Proc. Edinb. Math. Soc., II. Ser. 49, No. 3, 739-751 (2006). Reviewer: Srinivasa Swaminathan (Halifax) MSC: 47H99 28B15 PDFBibTeX XMLCite \textit{L. Veselý} and \textit{L. Zajícek}, Proc. Edinb. Math. Soc., II. Ser. 49, No. 3, 739--751 (2006; Zbl 1115.47048) Full Text: DOI
Stamate, Cristina About the lower semicontinuous regularization for vector functions. (English) Zbl 1076.47040 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 50, No. 2, 407-414 (2004). MSC: 47H04 47L07 46B42 28B05 46A40 49J45 PDFBibTeX XMLCite \textit{C. Stamate}, An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 50, No. 2, 407--414 (2004; Zbl 1076.47040)
Veselý, Libor; Duda, Jakub; Zajíček, Luděk On d.c. functions and mappings. (English) Zbl 1072.46025 Atti Semin. Mat. Fis. Univ. Modena 51, No. 1, 111-138 (2003). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46G05 PDFBibTeX XMLCite \textit{L. Veselý} et al., Atti Semin. Mat. Fis. Univ. Modena 51, No. 1, 111--138 (2003; Zbl 1072.46025)
Zelený, Miroslav An example of a \(\mathcal C^{1,1}\) function, which is not a d.c.function. (English) Zbl 1090.46012 Commentat. Math. Univ. Carol. 43, No. 1, 149-154 (2002). MSC: 46B20 26B25 PDFBibTeX XMLCite \textit{M. Zelený}, Commentat. Math. Univ. Carol. 43, No. 1, 149--154 (2002; Zbl 1090.46012) Full Text: EuDML EMIS
Le Thi Hoai An; Pham Dinh Tao D.C. programming approach for multicommodity network optimization problems with step increasing cost functions. (English) Zbl 1045.90074 J. Glob. Optim. 22, No. 1-4, 205-232 (2002). MSC: 90C35 90B10 PDFBibTeX XMLCite \textit{Le Thi Hoai An} and \textit{Pham Dinh Tao}, J. Glob. Optim. 22, No. 1--4, 205--232 (2002; Zbl 1045.90074) Full Text: DOI
Bagirov, Adil M. A method for minimization of quasidifferentiable functions. (English) Zbl 1040.90038 Optim. Methods Softw. 17, No. 1, 31-60 (2002). Reviewer: Dinh The Luc (Avignon) MSC: 90C30 49J52 PDFBibTeX XMLCite \textit{A. M. Bagirov}, Optim. Methods Softw. 17, No. 1, 31--60 (2002; Zbl 1040.90038) Full Text: DOI
Yassine, A.; Alaa, N.; Elhilali Alaoui, A. Convergence of Toland’s critical points for sequences of D. C. functions and application to the resolution of semilinear elliptic problems. (English) Zbl 1005.90048 Control Cybern. 30, No. 4, 405-417 (2001). MSC: 90C26 PDFBibTeX XMLCite \textit{A. Yassine} et al., Control Cybern. 30, No. 4, 405--417 (2001; Zbl 1005.90048)
Carrizosa, Emilio; Conde, E.; Castaño, A.; Romero-Morales, D. Finding the principal points of a random variable. (English) Zbl 1147.90384 RAIRO, Oper. Res. 35, No. 3, 315-328 (2001). Reviewer: Marcin Studniarski (Łodź) MSC: 90C26 90C57 PDFBibTeX XMLCite \textit{E. Carrizosa} et al., RAIRO, Oper. Res. 35, No. 3, 315--328 (2001; Zbl 1147.90384) Full Text: DOI Numdam EuDML Link
Shi, Jianming A combined algorithm for fractional programming. (English) Zbl 0992.90071 Ann. Oper. Res. 103, 135-147 (2001). Reviewer: Juan-E.Martínez-Legaz (Barcelona) MSC: 90C32 90C26 65K05 90C57 PDFBibTeX XMLCite \textit{J. Shi}, Ann. Oper. Res. 103, 135--147 (2001; Zbl 0992.90071) Full Text: DOI
Le Thi Hoai An; Pham Dinh Tao Large scale molecular conformation via the exact distance geometry problem. (English) Zbl 0982.90037 Nguyen, Van Hien (ed.) et al., Optimization. Proceedings of the 9th Belgian-French-German conference, Namur, Belgium, September 7-11, 1998. Berlin: Springer. Lect. Notes Econ. Math. Syst. 481, 260-277 (2000). MSC: 90C26 PDFBibTeX XMLCite \textit{Le Thi Hoai An} and \textit{Pham Dinh Tao}, Lect. Notes Econ. Math. Syst. 481, 260--277 (2000; Zbl 0982.90037)
Martínez-Legaz, Juan-Enrique; Volle, Michel Duality in D. C. programming: The case of several D. C. constraints. (English) Zbl 0946.90064 J. Math. Anal. Appl. 237, No. 2, 657-671 (1999). MSC: 90C26 90C46 PDFBibTeX XMLCite \textit{J.-E. Martínez-Legaz} and \textit{M. Volle}, J. Math. Anal. Appl. 237, No. 2, 657--671 (1999; Zbl 0946.90064) Full Text: DOI
Lamar, Bruce W. A method for converting a class of univariate functions into d. c. functions. (English) Zbl 0967.90085 J. Glob. Optim. 15, No. 1, 55-71 (1999). Reviewer: Hoang Tuy (Hanoi) MSC: 90C26 90C30 PDFBibTeX XMLCite \textit{B. W. Lamar}, J. Glob. Optim. 15, No. 1, 55--71 (1999; Zbl 0967.90085) Full Text: DOI
Holmberg, Kaj; Tuy, Hoang A production-transportation problem with stochastic demand and concave production costs. (English) Zbl 0956.90020 Math. Program. 85, No. 1 (A), 157-179 (1999). MSC: 90C08 90C26 90C15 PDFBibTeX XMLCite \textit{K. Holmberg} and \textit{H. Tuy}, Math. Program. 85, No. 1 (A), 157--179 (1999; Zbl 0956.90020) Full Text: DOI
Khamisov, Oleg On optimization properties of functions, with a concave minorant. (English) Zbl 0932.49007 J. Glob. Optim. 14, No. 1, 79-101 (1999). Reviewer: L.Ambrosio (Pisa) MSC: 49J30 49J45 PDFBibTeX XMLCite \textit{O. Khamisov}, J. Glob. Optim. 14, No. 1, 79--101 (1999; Zbl 0932.49007) Full Text: DOI
Le Thi Hoai An; Pham Dinh Tao A branch and bound method via d. c. optimization algorithms and ellipsoidal technique for box constrained nonconvex quadratic problems. (English) Zbl 0912.90233 J. Glob. Optim. 13, No. 2, 171-206 (1998). MSC: 90C26 90C20 PDFBibTeX XMLCite \textit{Le Thi Hoai An} and \textit{Pham Dinh Tao}, J. Glob. Optim. 13, No. 2, 171--206 (1998; Zbl 0912.90233) Full Text: DOI
Bulatov, Valerian Numerical methods for solution of the multiextremal problems connected with the inverse mathematical programming problems. (English) Zbl 0909.90233 J. Glob. Optim. 12, No. 4, 405-413 (1998). MSC: 90C30 PDFBibTeX XMLCite \textit{V. Bulatov}, J. Glob. Optim. 12, No. 4, 405--413 (1998; Zbl 0909.90233) Full Text: DOI
Penot, Jean-Paul On the minimization of difference functions. (English) Zbl 0909.90244 J. Glob. Optim. 12, No. 4, 373-382 (1998). MSC: 90C30 49J52 PDFBibTeX XMLCite \textit{J.-P. Penot}, J. Glob. Optim. 12, No. 4, 373--382 (1998; Zbl 0909.90244) Full Text: DOI
Pham Dinh Tao; Le Thi Hoai An Convex analysis approach to d. c. programming: Theory, algorithms and applications. (English) Zbl 0895.90152 Acta Math. Vietnam. 22, No. 1, 289-355 (1997). MSC: 90C25 49J52 90C26 PDFBibTeX XMLCite \textit{Pham Dinh Tao} and \textit{Le Thi Hoai An}, Acta Math. Vietnam. 22, No. 1, 289--355 (1997; Zbl 0895.90152)
Phan Thien Thach; Konno, Hiroshi On the degree and separability of nonconvexity and applications to optimization problems. (English) Zbl 0891.90137 Math. Program. 77, No. 1 (A), 23-47 (1997). MSC: 90C25 90C48 26B25 PDFBibTeX XMLCite \textit{Phan Thien Thach} and \textit{H. Konno}, Math. Program. 77, No. 1 (A), 23--47 (1997; Zbl 0891.90137)
Elhilali Alaoui, A. Characterization of D. C. functions. (Caractérisation des fonctions D. C.) (French. Extended English abstract) Zbl 0915.49014 Ann. Sci. Math. Qué. 20, No. 1, 1-13 (1996). Reviewer: A.Seeger (Avignon) MSC: 49J52 90C26 46N10 PDFBibTeX XMLCite \textit{A. Elhilali Alaoui}, Ann. Sci. Math. Qué. 20, No. 1, 1--13 (1996; Zbl 0915.49014)
Horst, R.; Nast, M. Linearly constrained global minimization of functions with concave minorants. (English) Zbl 0851.90113 J. Optimization Theory Appl. 88, No. 3, 751-763 (1996). MSC: 90C30 PDFBibTeX XMLCite \textit{R. Horst} and \textit{M. Nast}, J. Optim. Theory Appl. 88, No. 3, 751--763 (1996; Zbl 0851.90113) Full Text: DOI
Pham Dinh Tao; Le Thi Hoai An Difference of convex functions optimization algorithms (DCA) for globally minimizing nonconvex quadratic forms on Euclidean balls and spheres. (English) Zbl 0876.90071 Oper. Res. Lett. 19, No. 5, 207-216 (1996). MSC: 90C20 90C26 PDFBibTeX XMLCite \textit{Pham Dinh Tao} and \textit{Le Thi Hoai An}, Oper. Res. Lett. 19, No. 5, 207--216 (1996; Zbl 0876.90071) 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
Dietrich, H. A generalization of the Lasry-Lions method for functions in reflexive Banach spaces. (English) Zbl 0840.49011 Optimization 35, No. 3, 193-205 (1995). Reviewer: C.Zălinescu (Iaşi) MSC: 49J52 49N15 PDFBibTeX XMLCite \textit{H. Dietrich}, Optimization 35, No. 3, 193--205 (1995; Zbl 0840.49011) 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
Tuy, Hoang D. C. optimization: Theory, methods and algorithms. (English) Zbl 0832.90111 Horst, Reiner et al., Handbook of global optimization. Dordrecht: Kluwer Academic Publishers. Nonconvex Optim. Appl. 2, 149-216 (1995). MSC: 90C30 90C25 90-02 PDFBibTeX XMLCite \textit{H. Tuy}, Nonconvex Optim. Appl. 2, 149--216 (1995; Zbl 0832.90111)
Phong, Thai Quynh An algorithm for solving general D. C. programming problems. (English) Zbl 0810.90121 Oper. Res. Lett. 15, No. 2, 73-79 (1994). MSC: 90C30 49J52 PDFBibTeX XMLCite \textit{T. Q. Phong}, Oper. Res. Lett. 15, No. 2, 73--79 (1994; Zbl 0810.90121) Full Text: DOI
Pham Dinh Tao; Le Thi Hoai An Stability of the Lagrangian duality in d.c. (difference of two convex functions) optimization. (Stabilité de la dualité lagrangienne en optimisation d.c. (différence de deux fonctions convexes).) (French. Abridged English version) Zbl 0801.90093 C. R. Acad. Sci., Paris, Sér. I 318, No. 4, 379-384 (1994). MSC: 90C26 49J52 PDFBibTeX XMLCite \textit{Pham Dinh Tao} and \textit{Le Thi Hoai An}, C. R. Acad. Sci., Paris, Sér. I 318, No. 4, 379--384 (1994; Zbl 0801.90093)
de Sampaio, Raimundo J. B. On the difference of two maximal monotone operators. (English) Zbl 0811.47053 Bol. Soc. Parana. Mat. (2) 12-13(1991-1992), No. 1-2, 95-100 (1993). MSC: 47H05 47N10 49J52 PDFBibTeX XMLCite \textit{R. J. B. de Sampaio}, Bol. Soc. Parana. Mat., II. Sér. 12--13, No. 1--2, 95--100 (1993; Zbl 0811.47053)
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
Thoai, Nguyen Van Canonical d. c. programming techniques for solving a convex program with an additional constraint of multiplicative type. (English) Zbl 0796.90060 Computing 50, No. 3, 241-253 (1993). Reviewer: Shouyang Wang (Beijing) MSC: 90C30 90C26 PDFBibTeX XMLCite \textit{N. Van Thoai}, Computing 50, No. 3, 241--253 (1993; Zbl 0796.90060) Full Text: DOI
Thach, Phan Thien D.c sets, d.c. functions and nonlinear equations. (English) Zbl 0793.90054 Math. Program. 58, No. 3 (A), 415-428 (1993). MSC: 90C25 49J52 90C26 90-08 PDFBibTeX XMLCite \textit{P. T. Thach}, Math. Program. 58, No. 3 (A), 415--428 (1993; Zbl 0793.90054) Full Text: DOI
Michel, René; Volle, Michel On integral inequalities involving logconcave functions. (English) Zbl 0765.26009 Optimization, optimal control and partial differential equations. Proc. 1st Fr.-Rom. Conf., Iasi/Rom. 1992, ISNM 107, 329-337 (1992). Reviewer: W.W.Breckner (Cluj-Napoca) MSC: 26D15 26B25 PDFBibTeX XMLCite \textit{R. Michel} and \textit{M. Volle}, in: Optimization, optimal control and partial differential equations. Proceedings of the first Franco-Romanian conference, held in Iasi, Romania, September 7-11, 1992. Basel: Birkhäuser Verlag. 329--337 (1992; Zbl 0765.26009)
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
Elster, Karl-Heinz; Göpfert, Alfred Conjugation concepts in optimization. (English) Zbl 0703.90079 Operations research, Proc. 14th Symp., Ulm/FRG 1989, Methods Oper. Res. 62, 53-65 (1990). MSC: 90C30 90C26 26B25 90C29 52A41 PDFBibTeX XML
Truong Xuan Duc Ha Banach spaces of d.c. functions and quasidifferentiable functions. (English) Zbl 0678.90073 Acta Math. Vietnam. 13, No. 2, 55-70 (1988). MSC: 90C30 49J52 90C48 PDFBibTeX XMLCite \textit{Truong Xuan Duc Ha}, Acta Math. Vietnam. 13, No. 2, 55--70 (1988; Zbl 0678.90073)
Penot, J.-P.; Bougeard, M. L. Approximation and decomposition properties of some classes of locally d.c. functions. (English) Zbl 0666.49005 Math. Program., Ser. A 41, No. 2, 195-227 (1988). MSC: 49J52 26B25 90C30 49M27 90C55 PDFBibTeX XMLCite \textit{J. P. Penot} and \textit{M. L. Bougeard}, Math. Program. 41, No. 2 (A), 195--227 (1988; Zbl 0666.49005) Full Text: DOI
Thach, Phan Thien The design centering problem as a d.c. programming problem. (English) Zbl 0651.90065 Math. Program., Ser. A 41, No. 2, 229-248 (1988). Reviewer: A.G.Azpeitia MSC: 90C30 65K05 49M37 PDFBibTeX XMLCite \textit{P. T. Thach}, Math. Program. 41, No. 2 (A), 229--248 (1988; Zbl 0651.90065) Full Text: DOI
Tuy, Hoang; Horst, Reiner Convergence and restart in branch-and-bound algorithms for global optimization. Application to concave minimization and d.c. optimization problems. (English) Zbl 0651.90063 Math. Program., Ser. A 41, No. 2, 161-183 (1988). Reviewer: A.G.Azpeitia MSC: 90C30 65K05 49M37 PDFBibTeX XMLCite \textit{H. Tuy} and \textit{R. Horst}, Math. Program. 41, No. 2 (A), 161--183 (1988; Zbl 0651.90063) Full Text: DOI
Hiriart-Urruty, J.-B. Generalized differentiability, duality and optimization for problems dealing with differences of convex functions. (English) Zbl 0591.90073 Convexity and duality in optimization, Proc. Symp., Groningen/Neth. 1984, Lect. Notes Econ. Math. Syst. 256, 37-70 (1985). Reviewer: Hoang Tuy MSC: 90C30 49M37 26B05 26B25 90-02 49N15 PDFBibTeX XML
Peeters, F.; Devreese, J. T. Nonlinear D.C.-conductivity in polar semiconductors. (English) Zbl 0551.28017 Functional integration, Theory Appl., Proc. Colloq., Louvain-la- Neuve/Belgium 1979, 303-310 (1980). Reviewer: N.Angelescu MSC: 28C20 81S40 PDFBibTeX XML