Hoang Tuy


Emeritus Professor

Cộng tác viên
Research interests: Robust golbal optimization, minimax, fixed points, duality and equilibrium problems,quadratically constrained quadratic optimization and applications


Address
Office: Building A5, Room 110
Tel: +84 024 37563474/ 110
Email: htuy AT math.ac.vn

PUBLICATIONS

List of publications in MathSciNet

 

List of recent publications
1Y. Shi, H.D. Tuan, Hoang Tuy, S. Su, Global optimization for optimal power flow over transmission networks. Journal of Global Optimization, 69 (2017), 745–760.
2Hoang Tuy, Convex analysis and global optimization. Second edition. Springer Optimization and Its Applications, 110. Springer, [Cham], 2016. xvi+505 pp. ISBN: 978-3-319-31482-2; 978-3-319-31484-6.
3Hoang Tuy, H. D. Tuan, T. T. Son and P. T. Khoa, Monotonic optimization báed decoding for linear code, J. Global Optimization, 55 (2013), 301 - 312.
4Hoang Tuy, H. D. Tuan, Generalized S-lemma and strong duality in nonconvex quadratic programming, J. Global Optimization, 56 (2013), 1045 -- 1072.
5Hoang Tuy, Topological minimax theorems: old and new,  Vietnam Journal of Mathematics, 40 (2012), 391 -- 405.
6Hoang Tuy, A new topological minimax theorem with application, J. Global Optim. 50 (2011), no. 3, 371–378.
7Hoang Tuy, $D(C)$-optimization and robust global optimization, J. Glob. Optim.,  47 (2010), 485 -- 501.
8Hoang Tuy, Concave programming and DH-point, J. Glob Optim., 43 (2009), 407-413.
9Hoang Tuy, Minimax: existence and stability. In: Pareto optimality, game theory and equilibria, 3 - 21, Springer Optim. Appl. 17, Springer, New York, 2008.
10Hoang Tuy, On duality bound methods for nonconvex global optimization, J. Global Optim. 37 (2007), N0 2, 321 - 323.
11Hoang Tuy, On a decomposition method for nonconvex global optimization, Optim. Lett. 1 (2007), 245 - 258.
12Hoang Tuy, Parametric minimax theorems with application. Nonlinear Anal. Forum 12 (2007),  1 - 16.
13Hoang Tuy, Nguyen Thi Hoai Phuong, A robust algorithm for quadratic optimization under quadratic constraints, J. Global Optim. 37 (2007), 557 - 569.
14Hoang Tuy, Migdalas, N. T. Hoai-Phuong, A novel approach to bilevel nonlinear programming, J. Global Optim. 38 (2007), 527 - 554.
15Nguyen Thị Hoai Phuong, Hoang Tuy, A unified monotonic approach to generalized linear fractional programming, J. Global Optim. 26 (2003), 229 - 259.
16Hoang Tuy, N. T. Hoai-Phuong, Optimization under composite monotonic constraints and constrained optimization over the efficient set. Global optimization, 3 - 31, Nonconvex Optim. Appl. 84, Springer, New York, 2006.
17Hoang Tuy, Michel Minoux, and N. T. Hoai-Phuong, Discrete monotonic optimization with application to a discrete location problem, SIAM J. Optim. 17 (2006), 78 - 97.
18Nguyen Thi Hoai Phuong, Hoang Tuy, Faiz Al-Khayyal, Optimization of a quadratic function with a circulant matrix, Comput. Optim. Appl. 35 (2006), 135 - 159.
19Hoang Tuy, Al-Khayyal Faiz, Polynomial optimization: a robust approach. Pac. J. Optim. 1 (2005), 357–373.
20Hoang Tuy, Al-Khayyal Faiz, Phan Thien Thach, Monotonic optimization: branch and cut methods. Essays and surveys in global optimization, 39–78, GERAD 25th Anniv. Ser., 7, Springer, New York, 2005.
21Hoang Tuy, On solving nonconvex optimization problems by reducing the duality gap. J. Global Optim. 32 (2005), 349–365.
22Hoang Tuy, Partly convex and convex-monotonic optimization problems. In: Modelling, Simulation and Optimization of Complex Processes, Proceedings of the International Conference on High Performance Scientific Computing, March 10 - 14, 2003, Hanoi, Vietnam, (H. G. Bock, E. Kostina, H. X. Phu, eds.), Rolf Rannacher, Springer 2005, 485 - 508.
23Hoang Tuy, Monotonicity in the framework of generalized convexity. In: Proceedings of the 7th International Symposium on Generalized Convexity/Monotonicity, (A. Eberhard, N. Hadjisavas and D. T. Luc, eds.), Springer 2005, 61 - 85.
24Hoang Tuy, Minimax theorems revisitedActa Math. Vietnam. 29 (2004), 217 - 229.
25Hoang Tuy, Phan Thien Thach, Hiroshi Konno, Optimization of polynomial fractional functions. J. Global Optim. 29 (2004), 19 - 44.
26Hoang Tuy, Hàm thực và giải tích hàm. NXB Đại học Quốc gia, 2003 (in Vietnamese).
27H. D. Tuan, L. H. Nam, Hoang Tuy, T. Q. Nguyen, Multicriterion optimized QMF bank design, IEEE Trans. Sign. Proc. 51 (2003), 2582 - 2591.
28Hoang Tuy, Nguyen Duc Nghia, Reverse polyblock approximation for generalized multiplicative/fractional programming, Vietnam J. Math. 31 (2003), 391 - 402.
29H. Konno, N. Kawadai, Hoang Tuy, Cutting plane algorithms for nonlinear semi-definite programming problems with applications. J. Global Optim. 25 (2003), 141–155.
30Hoang Tuy, Nguyen Duc Nghia and Le Si Vinh, A discrete location problemActa Math. Vietnam. 28 (2003), 185 - 199.
31Hoang Tuy, On global optimality conditions and cutting plane algorithms, J. Optim. Theory Appl. 118 (2003), 201 - 216.
32Nguyen Thi Hoai Phuong, Hoang Tuy, A unified monotonic approach to generalized linear fractional programming, J. Global Optim. 26 (2003), 229 - 259.
33Hoang Tuy, Professor Le Van Thiem (1918–1991). Dedicated to the memory of Le Van Thiem (Hanoi, 1998). Acta Math. Vietnam. 27 (2002), 245–247.
34Faiz Al-Khayyal, Hoang Tuy, Fangjun Zhou, Large-scale single facility continuous location by d.c. optimization. Optimization 51 (2002), N0 2, 271 - 292.
35Hoang Tuy, Normal branch and bound algorithms for general nonconvex quadratic programming, In: Combinatorial and global optimization, (P. M. Pardalos, A. Migdalas and R. E. Burkard, eds.), World Scientific Pblishing Co., 2002, 333 - 355.
36Nguyen Thi Hoai Phuong, Hoang Tuy, A monotonicity based approach to nonconvex quadratic minimization. Vietnam J. Math. 30 (2002), N0 4, 373 - 393.
37Alain Bui, Marc Bui, Hoang Tuy, A nonconvex optimization problem arising from distributed computing. Mathematica 43(66) (2001),  151–165 (2003).
38Hoang Tuy, Cutting planes in global optimization. In: Encyclopedia of Optimization, (C. Floudas and P. Pardalos, eds.), Kluwer, I (2001), 366 - 371.
39Hoang Tuy, Convexity and monotonicity in global optimization. In: Advances in convex analysis and global optimization, (N. Hadjisavvas and P. M. Pardalos, eds.), Kluwer, 2001, 569 - 594.
40Hoang Tuy, A. M. Bagirov, A. M. Rubinov, Clustering via d.c. optimization, In: Advances in convex analysis and global optimization, (N. Hadjisavvas and P. M. Pardalos, eds.), Kluwer, 2001, 221 - 234.
41Alexander. Rubinova, Hoang Tuy, Heather. Mays, An algorithm for monotonic global optimization problems, Optimization 49 (2001), 205 - 221.
42Hoang Tuy, Monotonic optimization: problems and solution approaches. SIAM J. Optim. 11 (2000), 464 - 494.
43Panos M. Pardalos, H.Edwin Romeijn, Hoang Tuy, Recent developments and trends in global optimization. J. Comput. Appl. Math. 124 (2000), 209 - 228.
44 H.D, S, Hoang Tuy, Tuan, Hosoe, D. C. optimization approach to robust controls: the optimal scaling value problem. IEEE Trans. Automat. Control 45 (2000), 1903 - 1909.
45Hoang Tuy, Global optimization methods for location and distance geometry problems, In: Progress in optimization II (contributions from Australasia)(X. Q. Yang, A. I. Mees, M. Fisher and L. Jennings, eds.), Kluwer, 2000, 3 - 20.
46Hoang Tuy, On some recent advances and applications of D.C. optimization. In: Optimization, Lecture Notes in Econom. and Math. Systems, 481 (2000), 473 - 497 (V. H. Nguyen, J. J. Strodiot and P. Tossings, eds.), Springer.
47Hoang Tuy, Le Tu Luc, A new approach to optimization under monotonic constraint. J. Global Optim. 18 (2000), 1 - 15.
48Hoang Tuy, The MCCNF problem with a fixed number of nonlinear arc costs: complexity and approximation. In: Approximation and complexity in numerical optimization: Continuous and Discrete Problems (P. M. Pardalos, ed.), Kluwer, 2000, 525 - 544.
49Hoang Tuy, Nguyen Duc Nghia, Decomposition algorithm for reverse convex programs. Vietnam J. Math. 28 (2000), 43 - 55.
50Hoang Tuy, J. Guddat, R. Hirabayasshi, H. Th. Jongen, F. Twilt eds, On parametric methods in global optimization. In: Parametric optimization and related topics V, (J. Guddat, R. Hirabayasshi, H. Th. Jongen, F. Twilt eds.), Peter Lang 2000, 195 - 212.
51Hoang Tuy, Strong polynomial-time solvability of a minimum concave cost network flow problem. Acta Math. Vietnam. 25 (2000), 209 - 217.
52H. D. Tuan, P. Apkarian, S. Hosoe, Hoang Tuy, D.C. optimization approach to robust controls: the feasibility problems, Internat. J. Control 73 (2000), 89 - 104.
53Hoang Tuy, Normal sets, polyblocks and monotonic optimization. Vietnam J. Math. 27:4 (1999), 277 - 300.
54Kaj Holmberg, Hoang Tuy, A production-transportation problem with stochastic demands and concave production cost. Math. Programming 85 (1999), 157 - 179.
55Hoang Duong Tuan, P. Apkarian, Hoang Tuy, Advanced global optimization algorithms for solving PLMIs. In: Proc. of 38th IEEE Conference on Decision and Control, 1999, 310 - 315..
56Hoang Tuy, Convex analysis and global optimization. Nonconvex Optimization and its Applications, 22. Kluwer Academic Publishers, Dordrecht, 1998. xii+339 pp. ISBN: 0-7923-4818-4.
57Hoang Tuy, Bilevel linear programming, multiobjective linear programming and monotonic reverse convex programming. In: Multilevel Optimization: Algorithms and Applications, (P. M. Pardalos, A. Migdalas and P. Vọrbrand, eds.), Kluwer Academic Publishers, 1998, 295 - 301.
58Hoang Tuy, Saied Ghannadan, A new branch and bound method for bilevel linear programs. In: Multilevel Optimization: Algorithms and Applications, (P. M. Pardalos, A. Migdalas and P. Vọrbrand, eds.), Kluwer Academic Publishers, 1998, 231 - 249.
59P.-C. Chen, P. Hansen, B. Jaumard, Hoang Tuy, Solution of the multifacility Weber and conditional Weber problems by D. C. Programming. Oper. Res. 46 (1998), 548 - 562.
60Hoang Duong Tuan, S. Hosoe, Hoang Tuy, D.C. optimization approach to robust controls: the optimal scaling value problem. In: Proceedings of 1997 American Control Conference, 1998, 350 - 355.
61H. Konno, Phan Thien Thach, Hoang Tuy, Optimization on low rank nonconvex structures. Nonconvex Optimization and its Applications, 15. Kluwer Academic Publishers, Dordrecht, 1997. xii+457 pp.
62Hoang Duong Tuan, S. Hosoe, Hoang Tuy, New global optimization algorithms for solving the robust performance problem of robust controls. In: Proceedings of 2-nd Asian Control Conference 1 (1997), 350 - 353.
63Brigitte Jaumard, Christophe Meyer, Hoang Tuy, Generalized convex multiplicative programming via quasiconcave minimization. J. Global Optim. 10 (1997), 229-256.
64Hoang Tuy, A general D.C. approach to location problems. State of the Art in Global Optimization: Computational Methods and Applications, (C. Floudas and P. Pardalos, eds.), Kluwer 1996, 413 - 432.
65Hoang Tuy, Saied Ghannadan, Athanasios Migdalas, Peter Värbrand, Strongly polynomial algorithm for a concave production-transportation problem with a fixed number of nonlinear variables. Math. Programming, 72 (1996), 229 - 258.
66Hoang Tuy, P. Hansen and B. Jaumard, Global optimization in location. In: Facility Location, (Zvi Dresner, ed.), Springer-Verlag, 1995, 43 - 68.
67Hoang Tuy, Faiz Al-Khayyal, Fangjun Zhou, A D. C. Optimization method for single facility location problems. J. Global Optim. 7 (1995), 209 - 227.
68Hoang Tuy, Canonical D. C. programming: outer approximation methods revisited. Oper. Res. Lett. 18 (1995), 99 - 106.
69Hoang Tuy, Saied Ghannadan, Athanasios Migdalas, Peter Värbrand, The minimum concave cost flow problem with fixed numbers of nonlinear arc costs and sources. J. Global Optim. 6 (1995), 135 - 151.
70Hoang Tuy, S. Ghannadana, A. Migdalasa & P. VÄrbrand, Strongly polynomial algorithm for two special minimum concave cost network flow problems. Optimization 32 (1995), 23 - 44.
71Hoang Tuy, D. C. optimization: theory, methods and algorithms. In: Handbook of Global Optimization, (R. Horst and P. Pardalos eds.), Kluwer Academic Publishers, (1995), 149 - 216.
72Hoang Tuy, Bui The Tam, Polyhedral annexation VS outer approximation for the decomposition of monotonic quasiconcave minization problems. Acta Math. Vietnam. 20 (1995), 99 - 114.
73Hoang Tuy, Introduction to global optimization. GERAD, Ecole Polytechnique de Montréal, 1994, (Ph. D. Course).
74Hoang Tuy, S. Ghannadan, A. Migdalas and P. Vọrbrand, Heuristics based on Tabu search and Lagrangian relaxation for the concave production-transportation problem. Studies in Regional and Urban Planning 3 (1994), 127 - 141.
75Ulrich Pferschy, Hoang Tuy, Linear programs with an additional rank two reverse convex constraint. J. Global Optim. 4 (1994), 347 - 366.
76Hoang Tuy, Athanasios Migdalas, Peter Värbrand, A quasiconcave minimization method for solving linear two level programs. J. Global Optim. 4 (1994), 243 - 264.
77Hoang Tuy, W. Oettli, On necessary and sufficient conditions for global optimization. Mat. Apl. 15 (1994), 39 - 41.
78Hoang Tuy, Bui The Tam, N. D. Dan, Minimizing the sum of a convex function and a specially structured nonconvex function. Optimization 28 (1994), 237 - 248.
79Reiner Horst, Hoang Tuy, Global optimization (deterministic approaches). 1st edition 1990, 2nd edition 1993, Springer-Verlag, Berlin, New York.
80Hoang Tuy, Nguyen Dinh Dan, Saied Ghannadan, Strongly polynomial time algorithm for certain concave minimization problems on networks. Oper. Res. Lett. 14 (1993), 99 - 109.
81Hoang Tuy, Athanasios Migdalas, Peter Värbrand, A global optimization approach for the linear two-level program. J. Global Optim. 3 (1993), 1 - 23.
82Hoang Tuy, B. Klinz, Minimum concave-cost network flow problems with a single nonlinear arc cost. In: Network Optimization Problems, (P. Pardalos and D. Du, eds.), World Scientific, (1993), 125 - 143.
83Pey-Chun Chen, Pierre Hansen, Brigitte Jaumard, Hoang Tuy, Weber's problem with attraction and repulsion. J. Regional Sci. 32 (1992), 467 - 486.
84Hoang Tuy, S. Ghannadan, A. Migdalas & P.V. VÄarbrand, Strongly polynomial algorithm for a production-transportation problem with concave production cost. Optimization 27 (1992), 205 - 227.
85Hoang Tuy, Faiz A. Al-Khayyal, Global optimization of a nonconvex single facility location problem by sequential unconstrained convex minimization. J. Global Optim. 2 (1992), 61 - 71.
86Hoang Tuy, Faiz A. Al-Khayyal, A class of global optimization problems solvable by sequential unconstrained convex minimization. In: Recent Advances in Global Optimization, (C. A. Floudas and P. M. Pardalos eds.), Princeton University Press, (1992), 141 - 151.
87Hoang Tuy, On nonconvex optimization problems with separated nonconvex variables. J. Global Optim. 2 (1992), 133 - 144.
88Hoang Tuy, The complementary convex structure in global optimization. J. Global Optim. 2 (1992), 21 - 40.
89Hoang Tuy, Bui The Tam, An efficient solution method for rank two quasiconcave minimization problems. Optimization 24 (1992), 43 - 56.
90Hoang Tuy, Polyhedral annexation, dualization and dimension reduction technique in global optimization. J. Global Optim. 1 (1991), 229 - 244.
91Hoang Tuy, Effect of the subdivision strategy on convergence and efficiency of some global optimization algorithms. J. Global Optim. 1 (1991), 23 - 36.
92Hoang Tuy, Computing fixed points by global optimization methods. In: Fixed Point Theory and Applications, (M. A. Thera and Baillon eds.), Longman Scientific and Technical, (1991) 231 - 244
93Hoang Tuy, R. Horst, The geometric complementarity problem and transcending stationarity problem in global optimization. DIMACS Series in Discrete Mathematics and Computer Science, Applied Geometry and Discrete Mathematics, The Victor Klee Festschrift 4 (1991), 341 - 353.
94Hoang Tuy, Normal conical algorithm for concave minimization over polytopes. Math. Programming 51 (1991), 229 - 245.
95Hoang Tuy, On polyhedral annexation method for concave minimization. In: Functional Analysis, Optimization and Mathematical Economics, (Lev J. Leifman and J. B. Rosen eds.), Oxford University Press, (1990) 248 - 260.
96Hoang Tuy, The relief indicator method as a new approach to constrained global optimization. In: System Modelling and Optimization, Proceedings 14th IFIP Conference, Leipzig, Lecture Notes in Control Information Sciences 143 (1990), 219 - 233.
97Phan Thien Thach, Hoang Tuy, The relief indicator method for constrained global optimization. Naval Research Logistics 37 (1990), 473 - 497.
98R. Horst, Nguyen Van Thoai, Hoang Tuy, On an outer approximation concept in global optimization. Optimization 20 (1989), 255 - 264.
99Hoang Tuy, S. Utkin and V. Khachaturov, A new exhaustive procedure for concave minimization, USSR Comput. Math. Math. Phys. 7 (1988), 992 - 999 (in Russian).
100Hoang Tuy, Reiner Horst, Convergence and restart in branch and bound algorithms for global optimization. Application to concave minimization and d.c. optimization problems. Math. Programming 42 (1988), 161 - 184.
101Hoang Tuy, Nguyen Van Thuong, On the global minimization of a convex function under general nonconvex constraints. Appl. Math. Optim. 18 (1988), 119 - 142.
102Phan Thien Thach, Hoang Tuy, Parametric approach to a class of nonconvex global optimization problems. Optimization 19 (1988), 3 - 11.
103Phan Thien Thach, Hoang Tuy, Parametric approach to a class of nonconvex global optimization problems. Optimization 19 (1987), 3 - 11.
104Hoang Tuy, An implicit space covering method with applications to fixed point and global optimization problems. Acta Math. Vietnam. 12:2 (1987), 162 - 170.
105Hoang Tuy, V. Khatchaturov & S. Utkin, A class of exhaustive cone splitting procedures in conical algorithms for concave minimization. Optimization 18 (1987), 791 - 807.
106Hoang Tuy, Convex programs with an additional reverse convex constraint. J. Optim. Theory Appl. 52 (1987), 463 - 486.
107Hoang Tuy, A note on the out-of-kilter algorithm for solving the minimum-cost flow problem. Industrial Engineering J. 16:4 (1987), 20 - 37.
108Hoang Tuy, Global minimization of a difference of two convex functions. Math. Programming Study 30 (1987), 150 - 182.
109R. Horst, Nguyen Van Thoai, Hoang Tuy, Outer approximation by polyhedral convex sets. O.R. Spektrum 9 (1987), 153 - 159.
110Phan Thien Thach, Hoang Tuy, Global optimization under Lipshitzian constraints. Japan J. Appl. Math. 4 (1987), 205 - 217.
111Hoang Tuy, A general deterministic approach to global optimization via d.c. programming. In: Fermat Days 1985: Mathematics for Optimization, (J. B. Hiriart-Urruty ed.), North-Holland, Amsterdam, (1986), 273 - 306.
112Hoang Tuy, Bui Cong Cuong, Minimax theorem and weakly connected multifunctions in topological vector spaces. In: Actes Trois Conf. Math. Vietnam, Hanoi 1986, 84 - 87.
113N. V. Thuong, Hoang Tuy, A finite algorithm for solving linear programs with an additional reverse convex constraint. In: Nondifferentiable Optimization: Motivations and Applications, (V. F. Demyanov and D. Pallaschke eds.), Lecture Notes in Economics and Math. Systems, 225 (1985), Springer-Verlag, 291 - 302.
114Hoang Tuy, N. V. Thuong, Minimizing a convex function over the complement of a convex set. In: Proceedings of the IX Symposium on Operations Research, Osnabruck, Methods of Operations Research, 49 (1985), 85 - 99.
115Hoang Tuy, Concave minimization under linear constraints with a special structure. Optimization 16 (1985), 335 - 352.
116Hoang Tuy, Tran Vu Thieu, N. Q. Thoai, A conical algorithm for globally minimizing a concave function over a closed convex set. Math. Oper. Res. 10 (1985), 498 - 514.
117Hoang Tuy, Global minimization of a difference of two convex functions. In: Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, 226 (1984), 98 - 118.
118Hoang Tuy, Ha Huy Khoai, N. V. Khue and N. X. My, Introduction to algebra and topology. two volumes (in Vietnamese) – Nhập môn Đại số và Tôpô. NXB Bộ Đại học1984.
119Hoang Tuy, Nguyen Quang Thai, Minimizing a Concave Function over a Compact Convex Set, Acta Math. Vietnam. 8 (1983), 13 - 20.
120Hoang Tuy, On outer approximation methods for solving concave minimization problems, Acta Math. Vietnam. 8:2 (1983), 3 - 34.
121Hoang Tuy, Nguyen Van Thoai, Solving the linear complementarity problem through concave programming. J. Vytsysl. Mat. i Mat. Phys. 23 (1983), 602 - 608.
122Hoang Tuy, Tran Vu Thieu, N. Q. Thai, Minimization of a concave function over a closed convex set. Tạp chí Toán học 10 (1982), 16 - 23 (in Vietnamese).
123Hoang Tuy, Tran Vu Thieu, Khachian's polynomial algorithm in linear programming. Tạp chí Toán học 10 (1982), 1 - 8 (in Vietnamese).
124Hoang Tuy, Conical algorithm for solving a class of complementarity problems, Acta Math. Vietnam. 6 (1981), 3 - 17.
125Hoang Tuy, N. Q. Thai, Minimizing a concave function over a compact convex set. In: Proceedings of the Conference on Optimization, Vitte/Hiddensee, May 1981, 15 - 20.
126Hoang Tuy, A fixed point theorem involving a hybrid inwardness-contraction condition. Math. Nachr. 102 (1981), 271 - 275.
127Hoang Tuy, On variable dimension algorithms and algorithms using primitive sets. Math. Oper. Stati. Ser. Optim. 12 (1981), 361 - 381.
128Hoang Tuy, Nguyen Van Thoai, Solving the linear complementarity problem via concave programming. In: Methods of Operations Research, (R.E. Burkard and T. Ellinger eds.), 1980, 175 - 178.
129Nguyen Van Thoai, Hoang Tuy, Convergent algorithms for minimizing a concave function. Math. Oper. Research 5 (1980), 556 - 566.
130Hoang Tuy, Solving equations 0(f(x)) under general boundary conditions. In: Numerical Solution of Highly Nonlinear Problems, (W. Forster ed.), North-Holland, (1980), 271 - 296.
131Hoang Tuy, Three improved versions of Scarf's method using conventional subsimplices and allowing restart and continuation procedures. Math. Oper. Stati. Ser. Optim. 11 (1980), 347 - 365.
132Hoang Tuy, Combinatorial method for solving nonlinear equations in finite-dimensional and infinite-dimensional spaces. Acta Math. Vietnam. 4 (1979), 110 - 135.
133Hoang Tuy, Pivotal methods for computing equilibrium points: unified approach and new restart algorithm. Math. Programming 16 (1979), 210 - 227.
134Pham Canh Duong, Hoang Tuy, Stability, surjectivity and local invertibility of non differentiable mappings. Acta Math. Vietnam. 3 (1978), 89 - 105.
135Hoang Tuy, N. V. Thoai, Le Dung Muu, A modification of Scarf's algorithm allowing restarting, Math. Oper. Stati. Ser. Optim. 9 (1978), 357 - 372.
136Hoang Tuy, N. V. Thoai, Le Dung Muu, Un nouvel algorithme de point fixe. C. R. Acad. Sci. Paris 286 (1978), Ser. A, 783 - 785.
137Hoang Tuy, Critical mappings and extremum problems. Mat. Metody Peshenya Ekonom. Zadachi Sbornik 7 (1977), 69 - 84 (in Russian).
138Hoang Tuy, Stability property of a system of inequalities, Math. Oper. Stati. Ser. Optim. 8 (1977), 27 - 39.
139Hoang Tuy, Fixed points, fair sharing and mathematical programming, In: Survey of Mathematical Programming, Proceedings, IX International Symposium on Math. Programming, Budapest, 2 (1976), 83 - 97.
140Hoang Tuy, On the equivalence between Walras' excess demand theorem and Brouwer's fixed point theorem, In: Computing Equilibria: How and Why ?, (J. Los and M. W. Los, North-Holland eds.), (1976), 61 - 64.
141Hoang Tuy, On the foundation of the maximum principle, Acta Math. Vietnam. 1 (1976), 104 - 126.
142Hoang Tuy, On the general minimax theorem, Colloquium Math. 33 (1975), 145 - 158.
143Hoang Tuy, On the convex approximation of nonlinear inequalities, Math. Oper. Stati. 5 (1974), 451 - 466.
144Hoang Tuy, On necessary conditions for optimality. In: Progress in Operations Research, Colloquia Mathematica Societatis Bolyai, 12 (1974), 1233 - 1236.
145Hoang Tuy, On a general minimax theorem. Dok. Akad. Nauk SSSR 219 (1974), 818 - 822 (in Russian).
146Hoang Tuy, On an axiomatics for extremum problems and first order necessary conditions. Dok. Akad. Nauk SSSR 216 (1974), 1233 - 1236 (in Russian).
147Hoang Tuy, The Farkas-Minkowski theorem and extremum problems, In: Math. Models Economics, (J. Los and M. W. Los, eds.) (1974), 379 - 400.
148Bui Cong Cuong, Hoang Tuy, Convex analysis and related question. Tạp chí Toán học, 1 (1973), 1 - 21 (in Vietnamese).
149Bui Cong Cuong, Hoang Tuy, Convex anlysis and related question. Tap chi Toan hoc 1:4 (1973), 1 - 21 (in Vietnamese).
150Hoang Tuy, Convex inequalities and the Hahn-Banach theorem. Diss. Math. XCVII, 1972.
151Hoang Tuy, A note on quasiaffine functions. Math. Z. 9:4 (1971), 435 - 440 (in Russian).
152Hoang Tuy, On a class of minimax problems. Kibernetika 2 (1971), 115 - 118 (in Russian).
153Hoang Tuy, Sur les fonctions presque affines. Colloquium Math. 22:2 (1971), 301 - 309
154Hoang Tuy, Nguyễn Quang Thái, Sur deux problèmes d'affectation. (French) Studia Sci. Math. Hungar. 4 1969 13–30.
155Hoang Tuy, Nguyễn Quang Thái, Two special problems of linear programming. (Russian) 1969 Mathematical Methods of Solution of Economic Problems (Suppl. to Ekonom. i Mat. Metody, Collection No. 1) (Russian) pp. 19–32 Izdat. "Nauka'', Moscow
156Hoang Tuy, N. Q. Thai, On two assigment problems. Ekonomika i Mat. Metody. Sbortnik 1968, 1 - 20 (in Russian).
157Hoang Tuy, On linear inequalities. Dok. Akad. Nauk SSSR 179:2 (1968), 293 - 296 (in Russian).
158Hoang Tuy, Lý thuyết qui hoạch. NXB Khoa học, 1968 (in Vietnamese).
159Hoang Tuy, Giải tích hiện đại. NXB Giáo dục, in lần thứ nhất 1968, lần thứ hai 1974, lần thứ ba 1978 (in Vietnamese).
160Hoang Tuy, Nguen Kuang Thaĭ , A new method of solution of a certain distribution problem. Èkonom. i Mat. Metody 3 (1967), 903–908.
161Hoang Tuy, Sur le problème des contraintes supplémentaires en programmation linéaire et son application au problème de décomposition. (French) Elektron. Informationsverarbeit. Kybernetik 3 1967 141–156.
162Hoang Tuy, Some theorems on network flows. In: Proceedings, Tihany Symposium on Theory of Graphs (1966), 173 - 184.
163Hoang Tuy, Sur la méthode du gradient pour résoudre les programmes convexes. (French) Acta Sci. Vietnam. 2 1965 43–62.
164Hoang Tuy, Sur quelques propriétés des réseaux et leurs applications. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys, 12 (1964), 415 - 418.
165Hoang Tuy, Sur une classe de programmes nonlinéaires. Bull. Acad. Polon. Sci., Ser. Sci. Math. Astronom. Phys 12 (1964), 213 - 215.
166Hoang Tuy, Concave programming under linear constraints. Soviet Math. 5 (1964), 1437 - 1440.
167Hoang Tuy, Graphs and transportation problems. Sibirskii Mat. Z 4:2 (1963), 426 - 446 (in Russian).
168Hoang Tuy, Structure of measurable functions I. Math. Sbornik 53:4 (1961), 429 - 488 (in Russian).
169Hoang Tuy, Structure of measurable functions II. Math. Sbornik 54:2 (1961), 177 - 208 (in Russian).
170Hoang Tuy, On the universal primitive function of Marcinkiewicz. Izvestja Akad. Nauk SSSR Ser. Math., 24 (1960), 617 - 628 (in Russian).
171Hoang Tuy, On the structure of measurable functions. Dok. Akad. Nauk SSSR 126:1 (1959), 37 - 40 (in Russian).
172Hoang Tuy, On the symmetry of the contingency of the graph of a measurable function. Dok. Akad. Nauk SSSR 126:5 (1959), 946 - 947 (in Russian).
Preprints
1IMH20160901, Pham Thi Hoai, Hoang Tuy, Monotonic Optimization for Sensor Cover Energy Problem
2IMH2014/05/01, Hoang Tuy, Minimax and Generalized Ky Fan Inequality 1.
3IMH2013/04/01, Hoang Tuy, Minimax and Fixed Point