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## Tuy, Hoang

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 Author ID: tuy.hoang Published as: Hoang Tuy; Hoàng Tuy; Hoàng Tụy; Hoàng, T.; Hoáng, Tuy; Tuy Hoang; Tuy Hoàng; Tuy, H.; Tuy, Hoang; Tuy, Hoàng External Links: Math-Net.Ru · Wikidata · ResearchGate · dblp · GND
 Documents Indexed: 157 Publications since 1959, including 6 Books Reviewing Activity: 51 Reviews Biographic References: 7 Publications
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#### Co-Authors

 83 single-authored 8 Migdalas, Athanasios 7 Ghannadan, Saied 7 Horst, Reiner 7 Nguyen van Thoai 7 Varbrand, Peter 5 Al-Khayyal, Faiz A. 5 Tuan, Hoang Duong 4 Hoai-Phuong, N. T. 4 Thach, Phan Thien 3 Konno, Hiroshi 3 Nguyên Dúc Nghĩa 3 Nguyen Thi Hoai Phuong 3 Phan Thiên Thąch 3 Thai, Nguyen Quang 2 Bui The Tam 2 Hosoe, Shigeyuki 2 Jaumard, Brigitte 2 Lê Dung Muu 2 Nguyen Dinh Dan 2 Nguyên Quang Thái 2 Nguyen Van Thuong 2 Rubinov, Alexander M. 2 Tran Vu Thieu 2 Utkin, S. L. 2 Zhou, Fangjun 1 Apkarian, Pierre 1 Bagirov, Adil M. 1 Bui, Alain 1 Bui, Marc 1 Chen, Pey-Chun 1 Hansen, Pierre 1 Hoai, Pham Thi Thu 1 Holmberg, Kaj 1 Kawadai, Naoya 1 Khachaturov, Vladimir R. 1 Khatchaturov, V. 1 Khoa, P. T. 1 Le Si Vinh 1 Le Tu Luc 1 Mays, Heather 1 Meyer, Christophe 1 Minoux, Michel Andre 1 Oettli, Werner 1 Pardalos, Panos M. 1 Pferschy, Ulrich 1 Pham Canh Duong 1 Romeijn, H. Edwin 1 Sampson, Geoffrey 1 Shi, Ye 1 Son, Tran Thai 1 Su, Shasha 1 Tam, Bui T. 1 Thieu, Tran Vu 1 Thuong, Nguyen Van
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#### Serials

 26 Journal of Global Optimization 16 Acta Mathematica Vietnamica 10 Optimization 4 Mathematical Programming. Series A. Series B 4 Vietnam Journal of Mathematics 3 Colloquium Mathematicum 3 Journal of Optimization Theory and Applications 3 Mathematische Operationsforschung und Statistik. Series Optimization 3 Soviet Mathematics. Doklady 3 Methods of Operations Research 2 Doklady Akademii Nauk SSSR 2 Mathematics of Operations Research 2 Operations Research Letters 2 Tạp Chí Toán Học 2 U.S.S.R. Computational Mathematics and Mathematical Physics 2 SIAM Journal on Optimization 2 Mathematische Operationsforschung und Statistik 2 Nonconvex Optimization and Its Applications 2 Optimization Letters 1 International Journal of Control 1 Mathematical Notes 1 Matematicheskie Zametki 1 Applied Mathematics and Optimization 1 Dissertationes Mathematicae 1 IEEE Transactions on Automatic Control 1 Journal of Computational and Applied Mathematics 1 Kibernetika 1 Mathematische Nachrichten 1 Mathematical Programming Study 1 Mathematical Programming 1 Naval Research Logistics 1 Operations Research 1 Pacific Journal of Mathematics 1 Studia Scientiarum Mathematicarum Hungarica 1 OR Spektrum 1 Japan Journal of Applied Mathematics 1 Revista de Matemáticas Aplicadas 1 Computational Optimization and Applications 1 Mathematica 1 Studies in Locational Analysis 1 Nonlinear Analysis Forum 1 Pacific Journal of Optimization 1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Seminarbericht, Humboldt-Universität zu Berlin, Sektion Mathematik 1 Springer Optimization and Its Applications
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#### Fields

 138 Operations research, mathematical programming (90-XX) 47 Numerical analysis (65-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 9 General topology (54-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Operator theory (47-XX) 4 Convex and discrete geometry (52-XX) 4 Optics, electromagnetic theory (78-XX) 2 Real functions (26-XX) 2 Algebraic topology (55-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX)

#### Citations contained in zbMATH Open

121 Publications have been cited 1,899 times in 1,168 Documents Cited by Year
Global optimization. Deterministic approaches. Zbl 0704.90057
Horst, Reiner; Tuy, Hoang
1990
Global optimization. Deterministic approaches. 3rd rev. a. enl. ed. Zbl 0867.90105
Horst, Reiner; Tuy, Hoang
1996
Convex analysis and global optimization. Zbl 0904.90156
Tuy, Hoang
1998
Convergent algorithms for minimizing a concave function. Zbl 0472.90054
Nguyen Van Thoai; Tuy, Hoang
1980
D. C. optimization: Theory, methods and algorithms. Zbl 0832.90111
Tuy, Hoang
1995
Optimization on low rank nonconvex structures. Zbl 0879.90171
Konno, Hiroshi; Phan Thien Thach; Hoang Tuy
1997
Convex programs with an additional reverse convex constraint. Zbl 0585.90071
Tuy, Hoang
1987
Recent developments and trends in global optimization. Zbl 0969.90067
Pardalos, Panos M.; Romeijn, H. Edwin; Tuy, Hoang
2000
Global minimization of a difference of two convex functions. Zbl 0619.90061
Tuy, Hoang
1987
A unified monotonic approach to generalized linear fractional programming. Zbl 1039.90079
Nguyen Thi Hoai Phuong; Hoang Tuy
2003
Convergence and restart in branch-and-bound algorithms for global optimization. Application to concave minimization and d.c. optimization problems. Zbl 0651.90063
Tuy, Hoang; Horst, Reiner
1988
A conical algorithm for globally minimizing a concave function over a closed convex set. Zbl 0579.90078
Tuy, Hoang; Thieu, T. V.; Thai, Ng. Q.
1985
Convex analysis and global optimization. 2nd edition. Zbl 1362.90001
Tuy, Hoang
2016
On the convergence of global methods in multiextremal optimization. Zbl 0595.90079
Horst, Reiner; Tuy, Hoang
1987
Monotonic optimization: Problems and solution approaches. Zbl 1010.90059
Tuy, Hoang
2000
Effect of the subdivision strategy on convergence and efficiency of some global optimization algorithms. Zbl 0744.90083
Tuy, Hoang
1991
A global optimization approach for the linear two-level program. Zbl 0771.90108
Tuy, Hoang; Migdalas, Athanasios; Värbrand, Peter
1993
Solution of the multisource Weber and conditional Weber problems by d. -c. programming. Zbl 0979.90099
Chen, Pey-Chun; Hansen, Pierre; Jaumard, Brigitte; Tuy, Hoang
1998
A d.c. optimization method for single facility location problems. Zbl 0841.90082
Tuy, Hoang; Al-Khayyal, Faiz; Zhou, Fangjun
1995
Outer approximation by polyhedral convex sets. Zbl 0642.90094
Horst, Reiner; Thoai, Ng. V.; Tuy, Hoang
1987
On outer approximation methods for solving concave minimization problems. Zbl 0574.90074
Tuy, Hoang
1983
On a general minimax theorem. Zbl 0314.90088
Tuy, Hoang
1974
A production-transportation problem with stochastic demand and concave production costs. Zbl 0956.90020
Holmberg, Kaj; Tuy, Hoang
1999
An efficient solution method for rank two quasiconcave minimization problems. Zbl 0817.90079
Tuy, Hoang; Tam, B. T.
1992
Concave minimization under linear constraints with special structure. Zbl 0584.90080
Tuy, Hoang
1985
A novel approach to bilevel nonlinear programming. Zbl 1145.90083
Tuy, H.; Migdalas, A.; Hoai-Phuong, N. T.
2007
On the general minimax theorem. Zbl 0322.90065
Tuy, Hoang
1975
Normal conical algorithm for concave minimization over polytopes. Zbl 0743.90103
Tuy, Hoang
1991
A general deterministic approach to global optimization via d.c. programming. Zbl 0623.65067
Tuy, Hoang
1986
Monotonic optimization: branch and cut methods. Zbl 1136.90446
Tuy, Hoang; Al-Khayyal, Faiz; Thach, Phan Thien
2005
A class of exhaustive cone splitting procedures in conical algorithms for concave minimization. Zbl 0637.90074
Tuy, Hoang; Khatchaturov, V.; Utkin, S.
1987
Discrete monotonic optimization with application to a discrete location problem. Zbl 1112.90099
Tuy, Hoang; Minoux, Michel; Hoai-Phuong, N. T.
2006
A strongly polynomial algorithm for a concave production-transportation problem with a fixed number of nonlinear variables. Zbl 0853.90116
Tuy, Hoang; Ghannadan, Saied; Migdalas, Athanasios; Värbrand, Peter
1996
Polyhedral annexation, dualization and dimension reduction technique in global optimization. Zbl 0752.90077
Tuy, Hoang
1991
Global optimization under Lipschitzian constraints. Zbl 0622.90070
Phan Thiên Thach; Tuy, Hoang
1987
Generalized S-lemma and strong duality in nonconvex quadratic programming. Zbl 1300.90020
Tuy, H.; Tuan, H. D.
2013
Optimization of polynomial fractional functions. Zbl 1073.90049
Tuy, Hoang; Thach, Phan Thien; Konno, Hiroshi
2004
Generalized convex multiplicative programming via quasiconcave minimization. Zbl 0871.90085
Jaumard, Brigitte; Meyer, Christophe; Tuy, Hoang
1997
Canonical DC programming problem: Outer approximation methods revisited. Zbl 0857.90123
Tuy, Hoang
1995
The minimum concave cost network flow problem with fixed numbers of sources and nonlinear arc costs. Zbl 0833.90039
Tuy, Hoang; Ghannadan, Saied; Migdalas, Athanasios; Värbrand, Peter
1995
The complementary convex structure in global optimization. Zbl 0787.90091
Tuy, Hoang
1992
On an outer approximation concept in global optimization. Zbl 0675.90077
Horst, Reiner; Thoai, Ng. V.; Tuy, Hoang
1989
Minimizing a convex function over the complement of a convex set. Zbl 0569.90077
Tuy, Hoang; Nguyen Van Thuong
1985
Sur les inégalités linéaires. (On linear inequalities). Zbl 0204.19401
Tuy, Hoang
1964
Robust solution of nonconvex global optimization problems. Zbl 1123.90059
Tuy, Hoang
2005
D. c. optimization approach to robust control: Feasibility problems. Zbl 0998.93012
Tuan, H. D.; Apkarian, P.; Hosoe, S.; Tuy, H.
2000
A quasiconcave minimization method for solving linear two-level programs. Zbl 0792.90075
Tuy, Hoang; Migdalas, Athanasios; Värbrand, Peter
1994
On solving nonconvex optimization problems by reducing the duality gap. Zbl 1149.90388
Tuy, Hoang
2005
A new approach to optimization under monotonic constraint. Zbl 0971.90067
Tuy, Hoang; Le Tu Luc
2000
Strongly polynomial time algorithms for certain concave minimization problems on networks. Zbl 0794.90015
Tuy, Hoang; Nguyen Dinh Dan; Ghannadan, Saied
1993
On polyhedral annexation method for concave minimization. Zbl 0989.90546
Hoàng Tụy
1990
On the global minimization of a convex function under general nonconvex constraints. Zbl 0657.90083
Tuy, Hoang; Thuong, Nguyen Van
1988
A new topological minimax theorem with application. Zbl 1243.90244
Tuy, Hoang
2011
A robust algorithm for quadratic optimization under quadratic constraints. Zbl 1198.90316
Tuy, Hoang; Hoai-Phuong, N. T.
2007
Polynomial optimization: a robust approach. Zbl 1105.90066
Tuy, Hoang
2005
Large-scale single facility continuous location by d. c. optimization. Zbl 1030.90049
Al-Khayyal, Faiz; Tuy, Hoang; Zhou, Fangjun
2002
A general d.c. approach to location problems. Zbl 0870.90078
Tuy, Hoang
1996
On necessary and sufficient conditions for gobal optimality. Zbl 0822.90126
Tuy, H.; Oettli, W.
1994
Stability property of a system of inequalities. Zbl 0398.90084
Tuy, Hoang
1977
$${{\mathcal {D}(\mathcal {C})}}$$-optimization and robust global optimization. Zbl 1200.90140
Tuy, Hoang
2010
Minimax theorems revisited. Zbl 1139.90413
Tuy, Hoang
2004
Cutting plane algorithms for nonlinear semi-definite programming problems with applications. Zbl 1030.90078
Konno, Hiroshi; Kawadai, Naoya; Tuy, Hoang
2003
On global optimality conditions and cutting plane algorithms. Zbl 1033.90094
Tuy, H.
2003
On nonconvex optimization problems with separated nonconvex variables. Zbl 0778.90055
Tuy, Hoang
1992
An algorithm for monotonic global optimization problems. Zbl 1030.90093
Rubinov, Alexander; Tuy, Hoang; Mays, Heather
2001
On some recent advances and applications of d. c. optimization. Zbl 0982.90039
Tuy, Hoang
2000
A new branch and bound method for bilevel linear programs. Zbl 0897.90148
Tuy, Hoang; Ghannadan, Saied
1998
Strongly polynomial algorithm for a production-transportation problem with concave production cost. Zbl 0818.65052
Tuy, Hoang; Ghannadan, S.; Migdalas, A.; Värbrand, P.
1993
Global optimization of a nonconvex single facility location problem by sequential unconstrained convex minimization. Zbl 0778.90067
Tuy, Hoang; Al-Khayyal, Faiz A.
1992
The relief indicator method for constrained global optimization. Zbl 0718.90083
Phan Thiên Thąch; Tuy, Hoàng
1990
Global minimization of a concave function subject to mixed linear and reverse convex constraints. Zbl 0699.90083
Hoang Tuy
1988
Global minimization of a difference of two convex functions. Zbl 0559.90071
Tuy, Hoang
1984
Pivotal methods for computing equilibrium points: unified approach and new restart algorithm. Zbl 0497.90059
Tuy, Hoang
1979
Minimax: existence and stability. Zbl 1194.90116
Tuy, Hoang
2008
Optimization under composite monotonic constraints and constrained optimization over the efficient set. Zbl 1130.90385
Tuy, Hoang; Hoai-Phuong, N. T.
2006
Reverse polyblock approximation for generalized multiplicative/fractional programming. Zbl 1117.90322
Hoang Tuy; Nguyen Duc Nghia
2003
Minimizing the sum of a convex function and a specially structured nonconvex function. Zbl 0819.90096
Hoang Tuy; Bui The Tam; Nguyen Dinh Dan
1994
The geometric complementarity problem and transcending stationarity in global optimization. Zbl 0813.90115
Horst, Reiner; Tuy, Hoang
1991
A fixed point theorem involving a hybrid inwardness-contraction condition. Zbl 0481.54024
Tuy, Hoang
1981
Stability, surjectivity, - and local invertibility of non differentiable mappings. Zbl 0426.47041
Pham Canh Duong; Hoang Tuy
1978
Fourier transforms and their Lipschitz classes. Zbl 0391.42008
Sampson, G.; Tuy, H.
1978
On the convex approximation of nonlinear inequalities. Zbl 0298.52012
Tuy, Hoang
1974
Convex inequalities and the Hahn-Banach theorem. Zbl 0248.46006
Tuy, Hoang
1972
On a decomposition method for nonconvex global optimization. Zbl 1167.90016
Tuy, Hoang
2007
Monotonicity in the framework of generalized convexity. Zbl 1070.26014
Tuy, Hoang
2005
A nonconvex optimization problem arising from distributed computing. Zbl 1097.90565
Bui, Alain; Bui, Marc; Tuy, Hoang
2001
DC optimization approach to robust controls: The optimal scaling value problem. Zbl 0991.93031
Tuan, H. D.; Hosoe, S.; Tuy, H.
2000
Global optimization methods for location and distance geometry problems. Zbl 0957.90082
Tuy, Hoang
2000
Normal sets, polyblocks, and monotonic optimization. Zbl 1030.90135
Tuy, Hoang
1999
Bilevel linear programming, multiobjective programming, and monotonic reverse convex programming. Zbl 0897.90147
Tuy, Hoang
1998
Polyhedral annexation vs outer approximation for the decomposition of monotonic quasiconcave minimization problems. Zbl 0885.90103
Hoang Tuy; Bui The Tam
1995
The relief indicator method as a new approach to constrained global optimization. Zbl 0734.90085
Tuy, Hoang
1990
Parametric approach to a class of nonconvex global optimization problems. Zbl 0644.90083
Thach, Phan Thien; Tuy, Hoang
1988
A finite algorithm for solving linear programs with an additional reverse convex constraint. Zbl 0581.90071
Nguyen Van Thuong; Tuy, Hoang
1985
Minimizing a concave function over a compact convex set. Zbl 0562.90070
Tuy, Hoang; Thai, Nguyen Quang
1983
Solving the linear complementarity problem through concave programming. Zbl 0552.90088
Nguyen Van Thoai; Tuy, Hoang
1983
On an axiomatics for extremal problems and first-order necessary conditions. Zbl 0333.49019
Tuy, Hoang
1974
Parametric minimax theorems with application. Zbl 1357.49024
Tuy, Hoang
2007
On duality bound methods for nonconvex global optimization. Zbl 1138.90021
Tuy, Hoang
2007
Optimization of a quadratic function with a circulant matrix. Zbl 1154.90550
Nguyen Thi Hoai Phuong; Hoang Tuy; Al-Khayyal, Faiz
2006
Convex analysis and global optimization. 2nd edition. Zbl 1362.90001
Tuy, Hoang
2016
Generalized S-lemma and strong duality in nonconvex quadratic programming. Zbl 1300.90020
Tuy, H.; Tuan, H. D.
2013
A new topological minimax theorem with application. Zbl 1243.90244
Tuy, Hoang
2011
$${{\mathcal {D}(\mathcal {C})}}$$-optimization and robust global optimization. Zbl 1200.90140
Tuy, Hoang
2010
Minimax: existence and stability. Zbl 1194.90116
Tuy, Hoang
2008
A novel approach to bilevel nonlinear programming. Zbl 1145.90083
Tuy, H.; Migdalas, A.; Hoai-Phuong, N. T.
2007
A robust algorithm for quadratic optimization under quadratic constraints. Zbl 1198.90316
Tuy, Hoang; Hoai-Phuong, N. T.
2007
On a decomposition method for nonconvex global optimization. Zbl 1167.90016
Tuy, Hoang
2007
Parametric minimax theorems with application. Zbl 1357.49024
Tuy, Hoang
2007
On duality bound methods for nonconvex global optimization. Zbl 1138.90021
Tuy, Hoang
2007
Discrete monotonic optimization with application to a discrete location problem. Zbl 1112.90099
Tuy, Hoang; Minoux, Michel; Hoai-Phuong, N. T.
2006
Optimization under composite monotonic constraints and constrained optimization over the efficient set. Zbl 1130.90385
Tuy, Hoang; Hoai-Phuong, N. T.
2006
Optimization of a quadratic function with a circulant matrix. Zbl 1154.90550
Nguyen Thi Hoai Phuong; Hoang Tuy; Al-Khayyal, Faiz
2006
Monotonic optimization: branch and cut methods. Zbl 1136.90446
Tuy, Hoang; Al-Khayyal, Faiz; Thach, Phan Thien
2005
Robust solution of nonconvex global optimization problems. Zbl 1123.90059
Tuy, Hoang
2005
On solving nonconvex optimization problems by reducing the duality gap. Zbl 1149.90388
Tuy, Hoang
2005
Polynomial optimization: a robust approach. Zbl 1105.90066
Tuy, Hoang
2005
Monotonicity in the framework of generalized convexity. Zbl 1070.26014
Tuy, Hoang
2005
Optimization of polynomial fractional functions. Zbl 1073.90049
Tuy, Hoang; Thach, Phan Thien; Konno, Hiroshi
2004
Minimax theorems revisited. Zbl 1139.90413
Tuy, Hoang
2004
A unified monotonic approach to generalized linear fractional programming. Zbl 1039.90079
Nguyen Thi Hoai Phuong; Hoang Tuy
2003
Cutting plane algorithms for nonlinear semi-definite programming problems with applications. Zbl 1030.90078
Konno, Hiroshi; Kawadai, Naoya; Tuy, Hoang
2003
On global optimality conditions and cutting plane algorithms. Zbl 1033.90094
Tuy, H.
2003
Reverse polyblock approximation for generalized multiplicative/fractional programming. Zbl 1117.90322
Hoang Tuy; Nguyen Duc Nghia
2003
A discrete location problem. Zbl 1107.90388
Hoang Tuy; Nguyen Duc Nghia; Le Si Vinh
2003
Large-scale single facility continuous location by d. c. optimization. Zbl 1030.90049
Al-Khayyal, Faiz; Tuy, Hoang; Zhou, Fangjun
2002
An algorithm for monotonic global optimization problems. Zbl 1030.90093
Rubinov, Alexander; Tuy, Hoang; Mays, Heather
2001
A nonconvex optimization problem arising from distributed computing. Zbl 1097.90565
Bui, Alain; Bui, Marc; Tuy, Hoang
2001
Convexity and montonicity in global optimization. Zbl 1049.90067
Tuy, Hoang
2001
Clustering via d. c. optimization. Zbl 1049.90068
Tuy, Hoang; Bagirov, A. M.; Rubinov, A. M.
2001
Recent developments and trends in global optimization. Zbl 0969.90067
Pardalos, Panos M.; Romeijn, H. Edwin; Tuy, Hoang
2000
Monotonic optimization: Problems and solution approaches. Zbl 1010.90059
Tuy, Hoang
2000
D. c. optimization approach to robust control: Feasibility problems. Zbl 0998.93012
Tuan, H. D.; Apkarian, P.; Hosoe, S.; Tuy, H.
2000
A new approach to optimization under monotonic constraint. Zbl 0971.90067
Tuy, Hoang; Le Tu Luc
2000
On some recent advances and applications of d. c. optimization. Zbl 0982.90039
Tuy, Hoang
2000
DC optimization approach to robust controls: The optimal scaling value problem. Zbl 0991.93031
Tuan, H. D.; Hosoe, S.; Tuy, H.
2000
Global optimization methods for location and distance geometry problems. Zbl 0957.90082
Tuy, Hoang
2000
Strong polynomial-time solvability of a minimum concave cost network flow problem. Zbl 1057.90050
Tuy, Hoang
2000
A production-transportation problem with stochastic demand and concave production costs. Zbl 0956.90020
Holmberg, Kaj; Tuy, Hoang
1999
Normal sets, polyblocks, and monotonic optimization. Zbl 1030.90135
Tuy, Hoang
1999
Convex analysis and global optimization. Zbl 0904.90156
Tuy, Hoang
1998
Solution of the multisource Weber and conditional Weber problems by d. -c. programming. Zbl 0979.90099
Chen, Pey-Chun; Hansen, Pierre; Jaumard, Brigitte; Tuy, Hoang
1998
A new branch and bound method for bilevel linear programs. Zbl 0897.90148
Tuy, Hoang; Ghannadan, Saied
1998
Bilevel linear programming, multiobjective programming, and monotonic reverse convex programming. Zbl 0897.90147
Tuy, Hoang
1998
Optimization on low rank nonconvex structures. Zbl 0879.90171
Konno, Hiroshi; Phan Thien Thach; Hoang Tuy
1997
Generalized convex multiplicative programming via quasiconcave minimization. Zbl 0871.90085
Jaumard, Brigitte; Meyer, Christophe; Tuy, Hoang
1997
Global optimization. Deterministic approaches. 3rd rev. a. enl. ed. Zbl 0867.90105
Horst, Reiner; Tuy, Hoang
1996
A strongly polynomial algorithm for a concave production-transportation problem with a fixed number of nonlinear variables. Zbl 0853.90116
Tuy, Hoang; Ghannadan, Saied; Migdalas, Athanasios; Värbrand, Peter
1996
A general d.c. approach to location problems. Zbl 0870.90078
Tuy, Hoang
1996
D. C. optimization: Theory, methods and algorithms. Zbl 0832.90111
Tuy, Hoang
1995
A d.c. optimization method for single facility location problems. Zbl 0841.90082
Tuy, Hoang; Al-Khayyal, Faiz; Zhou, Fangjun
1995
Canonical DC programming problem: Outer approximation methods revisited. Zbl 0857.90123
Tuy, Hoang
1995
The minimum concave cost network flow problem with fixed numbers of sources and nonlinear arc costs. Zbl 0833.90039
Tuy, Hoang; Ghannadan, Saied; Migdalas, Athanasios; Värbrand, Peter
1995
Polyhedral annexation vs outer approximation for the decomposition of monotonic quasiconcave minimization problems. Zbl 0885.90103
Hoang Tuy; Bui The Tam
1995
Strongly polynomial algorithm for two special minimum concave cost network flow problems. Zbl 0817.65049
Hoang Tuy; Ghannadan, S.; Migdalas, A.; Värbrand, P.
1995
A quasiconcave minimization method for solving linear two-level programs. Zbl 0792.90075
Tuy, Hoang; Migdalas, Athanasios; Värbrand, Peter
1994
On necessary and sufficient conditions for gobal optimality. Zbl 0822.90126
Tuy, H.; Oettli, W.
1994
Minimizing the sum of a convex function and a specially structured nonconvex function. Zbl 0819.90096
Hoang Tuy; Bui The Tam; Nguyen Dinh Dan
1994
Linear programs with an additional rank two reverse convex constraint. Zbl 0802.90084
Pferschy, Ulrich; Tuy, Hoang
1994
A global optimization approach for the linear two-level program. Zbl 0771.90108
Tuy, Hoang; Migdalas, Athanasios; Värbrand, Peter
1993
Strongly polynomial time algorithms for certain concave minimization problems on networks. Zbl 0794.90015
Tuy, Hoang; Nguyen Dinh Dan; Ghannadan, Saied
1993
Strongly polynomial algorithm for a production-transportation problem with concave production cost. Zbl 0818.65052
Tuy, Hoang; Ghannadan, S.; Migdalas, A.; Värbrand, P.
1993
An efficient solution method for rank two quasiconcave minimization problems. Zbl 0817.90079
Tuy, Hoang; Tam, B. T.
1992
The complementary convex structure in global optimization. Zbl 0787.90091
Tuy, Hoang
1992
On nonconvex optimization problems with separated nonconvex variables. Zbl 0778.90055
Tuy, Hoang
1992
Global optimization of a nonconvex single facility location problem by sequential unconstrained convex minimization. Zbl 0778.90067
Tuy, Hoang; Al-Khayyal, Faiz A.
1992
Effect of the subdivision strategy on convergence and efficiency of some global optimization algorithms. Zbl 0744.90083
Tuy, Hoang
1991
Normal conical algorithm for concave minimization over polytopes. Zbl 0743.90103
Tuy, Hoang
1991
Polyhedral annexation, dualization and dimension reduction technique in global optimization. Zbl 0752.90077
Tuy, Hoang
1991
The geometric complementarity problem and transcending stationarity in global optimization. Zbl 0813.90115
Horst, Reiner; Tuy, Hoang
1991
Computing fixed points by global optimization methods. Zbl 0754.90056
Tuy, Hoang
1991
Global optimization. Deterministic approaches. Zbl 0704.90057
Horst, Reiner; Tuy, Hoang
1990
On polyhedral annexation method for concave minimization. Zbl 0989.90546
Hoàng Tụy
1990
The relief indicator method for constrained global optimization. Zbl 0718.90083
Phan Thiên Thąch; Tuy, Hoàng
1990
The relief indicator method as a new approach to constrained global optimization. Zbl 0734.90085
Tuy, Hoang
1990
On an outer approximation concept in global optimization. Zbl 0675.90077
Horst, Reiner; Thoai, Ng. V.; Tuy, Hoang
1989
Convergence and restart in branch-and-bound algorithms for global optimization. Application to concave minimization and d.c. optimization problems. Zbl 0651.90063
Tuy, Hoang; Horst, Reiner
1988
On the global minimization of a convex function under general nonconvex constraints. Zbl 0657.90083
Tuy, Hoang; Thuong, Nguyen Van
1988
Global minimization of a concave function subject to mixed linear and reverse convex constraints. Zbl 0699.90083
Hoang Tuy
1988
Parametric approach to a class of nonconvex global optimization problems. Zbl 0644.90083
Thach, Phan Thien; Tuy, Hoang
1988
Conical algorithms for solving a concave programming problem and some generalizations. Zbl 0684.90070
Utkin, S. L.; Khachaturov, V. R.; Tuy, Hoang
1988
Convex programs with an additional reverse convex constraint. Zbl 0585.90071
Tuy, Hoang
1987
Global minimization of a difference of two convex functions. Zbl 0619.90061
Tuy, Hoang
1987
On the convergence of global methods in multiextremal optimization. Zbl 0595.90079
Horst, Reiner; Tuy, Hoang
1987
Outer approximation by polyhedral convex sets. Zbl 0642.90094
Horst, Reiner; Thoai, Ng. V.; Tuy, Hoang
1987
A class of exhaustive cone splitting procedures in conical algorithms for concave minimization. Zbl 0637.90074
Tuy, Hoang; Khatchaturov, V.; Utkin, S.
1987
Global optimization under Lipschitzian constraints. Zbl 0622.90070
Phan Thiên Thach; Tuy, Hoang
1987
An implicit space covering method with applications to fixed point and global optimization problems. Zbl 0668.90063
Tuy, Hoang
1987
A general deterministic approach to global optimization via d.c. programming. Zbl 0623.65067
Tuy, Hoang
1986
A conical algorithm for globally minimizing a concave function over a closed convex set. Zbl 0579.90078
Tuy, Hoang; Thieu, T. V.; Thai, Ng. Q.
1985
Concave minimization under linear constraints with special structure. Zbl 0584.90080
Tuy, Hoang
1985
Minimizing a convex function over the complement of a convex set. Zbl 0569.90077
Tuy, Hoang; Nguyen Van Thuong
1985
A finite algorithm for solving linear programs with an additional reverse convex constraint. Zbl 0581.90071
Nguyen Van Thuong; Tuy, Hoang
1985
Global minimization of a difference of two convex functions. Zbl 0559.90071
Tuy, Hoang
1984
On outer approximation methods for solving concave minimization problems. Zbl 0574.90074
Tuy, Hoang
1983
Minimizing a concave function over a compact convex set. Zbl 0562.90070
Tuy, Hoang; Thai, Nguyen Quang
1983
Solving the linear complementarity problem through concave programming. Zbl 0552.90088
Nguyen Van Thoai; Tuy, Hoang
1983
A fixed point theorem involving a hybrid inwardness-contraction condition. Zbl 0481.54024
Tuy, Hoang
1981
A conical algorithm for solving a class of complementarity problems. Zbl 0618.90090
Tuy, Hoang
1981
Convergent algorithms for minimizing a concave function. Zbl 0472.90054
Nguyen Van Thoai; Tuy, Hoang
1980
...and 21 more Documents
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#### Cited by 1,450 Authors

 46 Tuy, Hoang 32 Horst, Reiner 32 Shen, Peiping 30 Benson, Harold P. 30 Nguyen van Thoai 20 Jiao, Hongwei 18 Floudas, Christodoulos Achilleus 16 Barton, Paul I. 16 Konno, Hiroshi 15 Kuno, Takahito 15 Le Thi, Hoai An 15 Pham Dinh Tao 14 Carrizosa, Emilio 14 Drezner, Zvi 14 Sergeev, Yaroslav Dmitrievich 12 Strekalovskiĭ, Aleksandr Sergeevich 11 Al-Khayyal, Faiz A. 11 Bagirov, Adil M. 11 Muu, Le Dung 11 Wu, Zhiyou 10 Liu, Sanyang 10 Pardalos, Panos M. 10 Sahinidis, Nikolaos V. 9 Bretthauer, Kurt M. 9 Chen, Yongqiang 9 Hansen, Pierre 9 Locatelli, Marco 9 Thach, Phan Thien 9 Zhang, Liansheng 8 Migdalas, Athanasios 8 Yajima, Yasutoshi 7 Bai, Fusheng 7 Cambini, Riccardo 7 Grossmann, Ignacio E. 7 Oettli, Werner 7 Pintér, János D. 7 Sherali, Hanif D. 7 Takeda, Akiko 7 Tanino, Tetsuzo 7 Wang, Chunfeng 7 Wang, Yanjun 7 Yamada, Syuuji 7 Zhang, Kecun 7 Žilinskas, Julius 6 Blanquero, Rafael 6 Jaumard, Brigitte 6 Lê Dung Muu 6 Liu, Xian 6 Mitsos, Alexander 6 Paulavičius, Remigijus 6 Penot, Jean-Paul 6 Rubinov, Alexander M. 6 Sayın, Serpil 6 Scholz, Daniel 6 Stein, Oliver 6 Taheri, Sona 6 Tseveendorj, Ider 6 Tuan, Hoang Duong 6 Varbrand, Peter 5 Bomze, Immanuel M. 5 Brimberg, Jack 5 Chachuat, Benoît 5 Conde, Eduardo 5 Dür, Mirjam 5 Gao, Yuelin 5 Gergel, Victor P. 5 Ghannadan, Saied 5 Glover, Bevil Milton 5 Jeyakumar, Vaithilingam 5 Joki, Kaisa 5 Kindler, Jürgen 5 Lera, Daniela 5 Li, Duan 5 Lucidi, Stefano 5 Ma, Yuan 5 Mladenović, Nenad 5 Phong, Thai Quynh 5 Salhi, Said 5 Scott, Joseph K. 5 Sheu, Ruey-Lin 5 Stolpe, Mathias 5 Zhao, Yingfeng 5 Zhou, Xuegang 4 Aboussoror, Abdelmalek 4 Adjiman, Claire S. 4 Adly, Samir 4 Ali, Mir Masoom 4 Borwein, Jonathan Michael 4 de Oliveira, Welington Luis 4 de Vries, Jakob 4 Dey, Santanu S. 4 Dinh The Luc 4 Drezner, Tammy 4 Fortin, Dominique 4 Fülöp, János 4 Gao, David Yang 4 Gaudioso, Manlio 4 Giallombardo, Giovanni 4 Hendrix, Eligius M. T. 4 Inuiguchi, Masahiro ...and 1,350 more Authors
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#### Cited in 162 Serials

 245 Journal of Global Optimization 110 Journal of Optimization Theory and Applications 71 European Journal of Operational Research 58 Mathematical Programming. Series A. Series B 46 Applied Mathematics and Computation 42 Annals of Operations Research 36 Optimization 32 Optimization Letters 31 Computational Optimization and Applications 28 Journal of Computational and Applied Mathematics 21 Journal of Mathematical Analysis and Applications 19 Computers & Operations Research 16 Operations Research Letters 14 Naval Research Logistics 13 SIAM Journal on Optimization 12 Computers & Mathematics with Applications 11 Top 11 Mathematical Problems in Engineering 11 Mathematical Methods of Operations Research 10 Optimization Methods & Software 9 Automatica 9 Computational Statistics and Data Analysis 7 Mathematical Programming 7 Applied Mathematical Modelling 7 RAIRO. Operations Research 6 Discrete Applied Mathematics 6 Archiv der Mathematik 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Systems & Control Letters 5 Acta Mathematica Hungarica 5 Mathematical and Computer Modelling 5 International Journal of Robust and Nonlinear Control 4 Acta Mathematica Vietnamica 4 Applied Mathematics and Optimization 4 Computing 4 Kybernetika 4 Numerical Functional Analysis and Optimization 4 Opsearch 4 Proceedings of the American Mathematical Society 4 OR Spektrum 4 Acta Mathematicae Applicatae Sinica. English Series 4 Linear Algebra and its Applications 4 Journal of Inequalities and Applications 4 Optimization and Engineering 4 Journal of Applied Mathematics 4 OR Spectrum 4 4OR 4 Computational Management Science 4 Journal of Industrial and Management Optimization 4 Set-Valued and Variational Analysis 4 Journal of the Operations Research Society of China 4 Nonlinear Analysis. Theory, Methods & Applications 4 Open Mathematics 3 Information Sciences 3 International Journal for Numerical Methods in Engineering 3 Mathematics of Operations Research 3 Russian Mathematics 3 Journal of Applied Mathematics and Computing 3 Structural and Multidisciplinary Optimization 3 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematical Notes 2 Mathematics of Computation 2 Fuzzy Sets and Systems 2 Journal of Mathematical Economics 2 Networks 2 Operations Research 2 Optimal Control Applications & Methods 2 Cybernetics 2 Journal of Information & Optimization Sciences 2 Japan Journal of Applied Mathematics 2 International Journal of Approximate Reasoning 2 Applied Mathematics Letters 2 Automation and Remote Control 2 Cybernetics and Systems Analysis 2 Computational and Applied Mathematics 2 Journal of Multi-Criteria Decision Analysis 2 International Transactions in Operational Research 2 Abstract and Applied Analysis 2 Soft Computing 2 Communications in Nonlinear Science and Numerical Simulation 2 CEJOR. Central European Journal of Operations Research 2 Bulletin de la Société Mathématique de France. Supplément. Mémoires 2 Journal of Fixed Point Theory and Applications 2 Mathematics and Financial Economics 2 Journal of Control Science and Engineering 2 Numerical Algebra, Control and Optimization 2 Minimax Theory and its Applications 1 Acta Mechanica 1 Artificial Intelligence 1 Discrete Mathematics 1 International Journal of Control 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Physics Letters. A 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 The Annals of Statistics 1 Journal of Differential Equations 1 Journal of Economic Theory ...and 62 more Serials
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#### Cited in 39 Fields

 1,028 Operations research, mathematical programming (90-XX) 194 Numerical analysis (65-XX) 158 Calculus of variations and optimal control; optimization (49-XX) 59 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 43 Systems theory; control (93-XX) 27 Statistics (62-XX) 25 Convex and discrete geometry (52-XX) 24 Real functions (26-XX) 21 Computer science (68-XX) 19 Functional analysis (46-XX) 17 Operator theory (47-XX) 17 General topology (54-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Mechanics of deformable solids (74-XX) 10 Ordinary differential equations (34-XX) 10 Biology and other natural sciences (92-XX) 7 Probability theory and stochastic processes (60-XX) 6 Partial differential equations (35-XX) 5 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Information and communication theory, circuits (94-XX) 2 Field theory and polynomials (12-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX)

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