Hoang Tuy

Scientific Publications

Publications

1. 1. Ye Shi, Hoang Duong Tuan, Hoang Tuy, Steven Weidong Su, Global optimization for optimal power flow over transmission networks, Journal of Global Optimization, 69 (2017), 745–760 (2017)
2. 2. Hoang 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. (2016)
3. 3. Hoang Tuy, Hoang Duong Tuan, T. T. Son, P. T. Khoa, Monotonic optimization báed decoding for linear code, Journal of Global Optimization, 55 (2013), 301 - 312 (2013)
4. 4. Hoang Tuy, Hoang Duong Tuan, Generalized S-lemma and strong duality in nonconvex quadratic programming, Journal of Global Optimization, 56 (2013), 1045 -- 1072 (2013)
5. 5. Hoang Tuy, Topological minimax theorems: old and new, Vietnam Journal of Mathematics, 40 (2012), 391 -- 405. (2012)
6. 6. Hoang Tuy, A new topological minimax theorem with application, Journal of Global Optimization 50 (2011), no. 3, 371–378 (2011)
7. 7. Hoang Tuy, ${\mathcal D}({\mathcal C})$-optimization and robust global optimization, Journal of Global Optimization, 47 (2010), 485 -- 501. (2010)
8. 8. Hoang Tuy, Concave programming and DH-point, Journal of Global Optimization, 43 (2009), 407-413 (2009)
9. 9. Hoang Tuy, Minimax: existence and stability, . In: Pareto optimality, game theory and equilibria, 3 - 21, Springer Optimization and Its Applications,17, Springer, New York, 2008. (2008)
10. 10. Hoang Tuy, On duality bound methods for nonconvex global optimization, Journal of Global Optimization, 37 (2007), N0 2, 321 - 323 (2007)
11. 11. Hoang Tuy, On a decomposition method for nonconvex global optimization, Optimization Letters, 1 (2007), 245 - 258 (2007)
12. 12. Hoang Tuy, Parametric minimax theorems with application, Nonlinear Anal. Forum 12 (2007), 1 - 16. (2007)
13. 13. Hoang Tuy, Nguyen Thi Hoai Phuong, A robust algorithm for quadratic optimization under quadratic constraints, Journal of Global Optimization ,37 (2007), 557 - 569. (2007)
14. 14. Hoang Tuy, A. Migdalas, Nguyen Thi Hoai Phuong, A novel approach to bilevel nonlinear programming, Journal of Global Optimization, 38 (2007), 527 - 554. (2007)
15. 15. Hoang Tuy, Nguyen Thi 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. (2006)
16. 16. Hoang Tuy, Michel Minoux, Nguyen Thi Hoai Phuong, Discrete monotonic optimization with application to a discrete location problem, SIAM Journal on Optimization, 17 (2006), 78 - 97. (2006)
17. 17. Nguyen Thi Hoai Phuong, Hoang Tuy, Faiz Al-Khayyal, Optimization of a quadratic function with a circulant matrix, Computational Optimization and Applications, 35 (2006), 135 - 159. (2006)
18. 18. Hoang Tuy, Faiz Al-Khayyal, 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. (2005)
19. 19. Hoang Tuy, On solving nonconvex optimization problems by reducing the duality gap, Journal of Global Optimization, 32 (2005), 349–365. (2005)
20. 20. Hoang 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 (2005)
21. 21. Hoang 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. (2005)
22. 22. Hoang Tuy, Minimax theorems revisited, Acta Mathematica Vietnamica, 29 (2004), 217 - 229 (2004)
23. 23. Phan Thien Thach, Hoang Tuy, Hiroshi Konno, Optimization of polynomial fractional functions, Journal of Global Optimization, 29 (2004), 19 - 44. (2004)
24. 24. Hoang Tuy, Real Functions and Functional Analysis, Vietnam National University Press, 2003 (in Vietnamese). (2003)
25. 25. Hoang Duong Tuan, Le Hai Nam, Hoang Tuy, T. Q. Nguyen, Multicriterion optimized QMF bank design, IEEE Transactions on Signal Processing, 51 (2003), 2582 - 2591. (2003)
26. 26. Hoang Tuy, Nguyen Duc Nghia, Reverse polyblock approximation for generalized multiplicative/fractional programming, Vietnam J. Math. 31 (2003), 391 - 402. (2003)
27. 27. Hiroshi Konno, Naoya Kawadai, Hoang Tuy, Cutting plane algorithms for nonlinear semi-definite programming problems with applications, Journal of Global Optimization, 25 (2003), 141–155. (2003)
28. 28. Hoang Tuy, Nguyen Duc Nghia, Le Si Vinh, A discrete location problem, Acta Mathematica Vietnamica, 28 (2003), 185 - 199. (2003)
29. 29. Hoang Tuy, On global optimality conditions and cutting plane algorithms, Journal of Optimization Theory and Applications, 118 (2003), 201 - 216. (2003)
30. 30. Nguyen Thi Hoai Phuong, Hoang Tuy, A unified monotonic approach to generalized linear fractional programming, Journal of Global Optimization, 26 (2003), 229 - 259. (2003)
31. 31. Hoang Tuy, Professor Le Van Thiem (1918–1991). Dedicated to the memory of Le Van Thiem (Hanoi, 1998)., /acta/2002-volume27/3/professor-le-van-thiem-1918-1991 (2002)
32. 32. Hoang Tuy, Faiz Al-Khayyal, Fangjun Zhou, Large-scale single facility continuous location by d.c. optimization, Optimization 51 (2002), N0 2, 271 - 292 (2002)
33. 33. Hoang 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. (2002)
34. 34. Nguyen Thi Hoai Phuong, Hoang Tuy, A monotonicity based approach to nonconvex quadratic minimization, Vietnam Journal of Mathematics, 30 (2002), N0 4, 373 - 393 (2002)
35. 35. Alain Bui, Marc Bui, Hoang Tuy, A nonconvex optimization problem arising from distributed computing, Mathematica 43(66) (2001) (2001)
36. 36. Hoang Tuy, Cutting planes in global optimization, In: Encyclopedia of Optimization, (C. Floudas and P. Pardalos, eds.), Kluwer, I (2001), 366 - 371 (2001)
37. 37. Hoang 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 (2001)
38. 38. Hoang 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. (2001)
39. 39. Alexander Rubinov, Hoang Tuy, Heather Mays, An algorithm for monotonic global optimization problems, Optimization 49 (2001), 205 - 221 (2001)
40. 40. Hoang Tuy, Monotonic optimization: problems and solution approaches, SIAM Journal on Optimization, 11 (2000), 464 - 494. (2000)
41. 41. Panos M. Pardalos, H.Edwin Romeijn, Hoang Tuy, Recent developments and trends in global optimization, Journal of Computational and Applied Mathematics, 124 (2000), 209 - 228. (2000)
42. 42. Hoang Duong Tuan, S. Hosoe, Hoang Tuy, D. C. optimization approach to robust controls: the optimal scaling value problem, IEEE Transactions on Automatic Control, 45 (2000), 1903 - 1909. (2000)
43. 43. Hoang 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. (2000)
44. 44. Hoang 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 (2000)
45. 45. Hoang Tuy, Le Tu Luc, A new approach to optimization under monotonic constraint, Journal of Global Optimization, 18 (2000), 1 - 15. (2000)
46. 46. Hoang 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. (2000)
47. 47. Hoang Tuy, Nguyen Duc Nghia, Decomposition algorithm for reverse convex programs, Vietnam J. Math. 28 (2000), 43 - 55. (2000)
48. 48. Hoang Tuy, J. Guddat, R. Hirabayasshi, H. Th. Jongen, F. Twilt, 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. (2000)
49. 49. Hoang Tuy, Strong polynomial-time solvability of a minimum concave cost network flow problem, Acta Mathematica Vietnamica, 25 (2000), 209 - 217. (2000)
50. 50. Hoang Duong Tuan, P. Apkarian, S. Hosoe, Hoang Tuy, D.C. optimization approach to robust controls: the feasibility problems, International Journal of Control, 73 (2000), 89 - 104. (2000)
51. 51. Hoang Tuy, Normal sets, polyblocks and monotonic optimization, Vietnam J. Math. 27:4 (1999), 277 - 300. (1999)
52. 52. Kaj Holmberg, Hoang Tuy, A production-transportation problem with stochastic demands and concave production cost, Mathematical Programming, 85 (1999), 157 - 179 (1999)
53. 53. Hoang 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. (1999)
54. 54. Hoang 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. (1998)
55. 55. Hoang 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. (1998)
56. 56. Hoang 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. (1998)
57. 57. Pey-Chun Chen, Pierre Hansen, Brigitte Jaumard, Hoang Tuy, Solution of the multifacility Weber and conditional Weber problems by D. C. Programming, Operations Research, 46 (1998), 548 - 562. (1998)
58. 58. Hoang 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. (1998)
59. 59. Hiroshi 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. (1997)
60. 60. Hoang 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. (1997)
61. 61. Hoang 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. (1996)
62. 62. Hoang Tuy, Saied Ghannadan, A. Migdalas, Peter Värbrand, Strongly polynomial algorithm for a concave production-transportation problem with a fixed number of nonlinear variables, Mathematical Programming, 72 (1996), 229 - 258 (1996)
63. 63. Hoang Tuy, Bui The Tam, Polyhedral annexation VS outer approximation for the decomposition of monotonic quasiconcave minization problems, Acta Mathematica Vietnamica, 20 (1995), 99 - 114. (1995)
64. 64. Hoang Tuy, On variable dimension algorithms and algorithms using primitive sets, Mathematische Operationsforschung und Statistik. Series Optimization 12 (1981), 361 - 381 (1981)
65. 65. Hoang Tuy, A fixed point theorem involving a hybrid inwardness-contraction condition, Math. Nachr. 102 (1981), 271 - 275 (1981)
66. 66. Hoang 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 (1981)
67. 67. Hoang Tuy, Conical algorithm for solving a class of complementarity problems, Acta Math. Vietnam. 6 (1981), 3 - 17 (1981)
68. 68. Hoang 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 (1980)
69. 69. Hoang 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 (1980)
70. 70. Nguyen Van Thoai, Hoang Tuy, Convergent algorithms for minimizing a concave function, Math. Oper. Research 5 (1980), 556 - 566 (1980)
71. 71. Nguyen Van Thoai, Hoang Tuy, Solving the linear complementarity problem via concave programming, In: Methods of Operations Research, (R.E. Burkard and T. Ellinger eds.), 1980, 175 - 178 (1980)
72. 72. Hoang Tuy, Pivotal methods for computing equilibrium points: unified approach and new restart algorithm, Math. Programming 16 (1979), 210 - 227 (1979)
73. 73. Hoang Tuy, Combinatorial method for solving nonlinear equations in finite-dimensional and infinite-dimensional spaces, Acta Math. Vietnam. 4 (1979), 110 - 135 (1979)
74. 74. Hoang Tuy, Nguyen Van Thoai, Le Dung Muu, A modification of Scarf's algorithm allowing restarting, Math. Oper. Stati. Ser. Optim. 9 (1978), 357 - 372 (1978)
75. 75. Hoang Tuy, Nguyen Van Thoai, Le Dung Muu, Un nouvel algorithme de point fixe, C. R. Acad. Sci. Paris 286 (1978), Ser. A, 783 - 785 (1978)
76. 76. Pham Canh Duong, Hoang Tuy, Stability, surjectivity and local invertibility of non differentiable mappings, Acta Math. Vietnam. 3 (1978), 89 - 105 (1978)
77. 77. Hoang Tuy, Stability property of a system of inequalities, Math. Oper. Stati. Ser. Optim. 8 (1977), 27 - 39 (1977)
78. 78. Hoang Tuy, Critical mappings and extremum problems, Mat. Metody Peshenya Ekonom. Zadachi Sbornik 7 (1977), 69 - 84 (1977)
79. 79. Hoang Tuy, On the foundation of the maximum principle, Acta Math. Vietnam. 1 (1976), 104 - 126 (1976)
80. 80. Hoang 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 (1976)
81. 81. Hoang 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 (1976)
82. 82. Hoang Tuy, On the convex approximation of nonlinear inequalities, Math. Oper. Stati. 5 (1974), 451 - 466 (1974)
83. 83. Hoang Tuy, The Farkas-Minkowski theorem and extremum problems, In: Math. Models Economics, (J. Los and M. W. Los, eds.) (1974), 379 - 400 (1974)
84. 84. Hoang Tuy, On an axiomatics for extremum problems and first order necessary conditions, Dok. Akad. Nauk SSSR 216 (1974), 1233 - 1236 (1974)
85. 85. Hoang Tuy, On a general minimax theorem, Dok. Akad. Nauk SSSR 219 (1974), 818 - 822 (1974)
86. 86. Hoang Tuy, On necessary conditions for optimality, In: Progress in Operations Research, Colloquia Mathematica Societatis Bolyai, 12 (1974), 1233 - 1236 (1974)
87. 87. Bui Cong Cuong, Hoang Tuy, Convex anlysis and related question, Tap chi Toan hoc 1:4 (1973), 1 - 21 (1973)
88. 88. Hoang Tuy, Convex inequalities and the Hahn-Banach theorem, Diss. Math. XCVII, 1972 (1972)
89. 89. Hoang Tuy, A note on quasiaffine functions, Math. Z. 9:4 (1971), 435 - 440 (in Russian). (1971)
90. 90. Hoang Tuy, On a class of minimax problems, Kibernetika 2 (1971), 115 - 118 (in Russian). (1971)
91. 91. Hoang Tuy, Sur les fonctions presque affines, Colloquium Math. 22:2 (1971), 301 - 309 (1971)