Hoang Xuan Phu


Full Professor, Doctor of Science

Department of Numerical Analysis and Scientific Computing
Research interests: Optimization, Optimal Control, Numerical Analysis and Scientific Computing, Functional Analysis


Address
Office: Building A6, Room 516
Tel: +84 24 37563474-516
Email: hxphu AT math.ac.vn
Personal homepage: http://hpsc.iwr.uni-heidelberg.de/hxphu/

Education and academic degrees:

  • 1975 - 1979: Study of Mathematics, University of Leipzig    
  • 1981 - 1983: Promotion (Dr. rer. nat.), University of Leipzig   
  • 1985 - 1987: Habilitation (Dr. sc. nat.), University of Leipzig
  • 1992: Associate Professor
  • 1996:  Professor

Honors

Some Scientific Functions:

  • 2007 - 2012: Chair of the Scientific Commission of the Institute of Mathematics, Vietnam Academy of Science and Technology    
  • 2010 - 2016: Ambassador Scientist (Vertrauenswissenschaftler) of the Alexander von Humboldt Foundation (Alexander von Humboldt-Stiftung), Germany    
  • 2011 - 2014: Member of the Commission for Developing Countries (CDC) of the International Mathematical Union (IMU)

 

Editorship

 

PUBLICATIONS

List of publications in MathSciNet

 

List of recent publications
1Hoang Nam Dung, Nguyen Kieu Linh, Hoang Xuan Phu, Octagonal and hexadecagonal cut algorithms for finding the convex hull of finite sets with linear time complexity, Applied Mathematics and Computation, Volume 481, 2024, 128931, (SCI-E, Scopus).
2Phan Thanh An, Hoang Xuan Phu, Finding globally shortest paths through a sequence of adjacent triangles by the method of orienting curves, Journal of Global Optimization, Volume 85 (2023), pages 1037–1063, (SCI-E, Scopus).
3Dang Thi Oanh, Oleg Davydov, Hoang Xuan Phu, Adaptive RBF-FD method for elliptic problems with point singularities in 2D. Applied Mathematics and Computation, 313 (2017), 474–497, SCI(-E); Scopus.
4Hoang Xuan Phu, Inner γ-Convex Functions in Normed Linear Spaces, Vietnam Journal of Mathematics, 43(2015), 487-500, Scopus.
5Hoang Xuan Phu, H. G. Bock, A Common Regularization for Three Reservoir Optimal Control Problems, Journal of Optimization Theory and Applications, 157 (2013), 199 - 228, SCI(-E); Scopus.
6Hoang Xuan Phu, V. M. Pho, Some properties of boundedly perturbed strictly convex quadratic functions,  Optimazation, 61 (2012), 67 -- 88, SCI(-E); Scopus.
7Hoang Xuan Phu, V. M. Pho, Maximizing strictly convex quadratic functions with bounded perturbation, Journal of Optimization Theory and Applications, 149 (2011), 1-25, SCI(-E); Scopus.
8Hoang Xuan Phu, Minimizing convex functions with bounded perturbations, SIAM Journal on Optimization, 20 (2010), 2709-2729, SCI(-E); Scopus.
9Hoang Xuan Phu, Global infimum of strictly convex quadratic functions with bounded perturbations, Mathematical Methods of Operations Research, 72 (2010), 327 -- 345, SCI(-E); Scopus.
10Hoang Xuan Phu, Supremizers of inner $\gamma$-convex functions, Math. Methods Oper. Res. 67 (2008), 207 - 222.
11Hoang Xuan Phu, Outer $\Gamma$-convexity in vector spaces, Numer. Funct. Anal. Optim. 29 (2008), 835 - 854.
12Hoang Xuan Phu, Outer $\gamma$-convexity and inner $\gamma$-convexity of disturbed functions, Vietnam J. Math. 35 (2007), 107 - 119.
13Hoang Xuan Phu, Some properties of solution sets to nonconvex quadratic programming problems, Optimization 56 (2007), 369 - 383.
14Hoang Xuan Phu, Some basic ideas of rough anlysis. In: Proceedings of the sixth Vietnamese Mathematics Conference, Hanoi National University Publishing House, 2005, 3 - 31.
15Hoang Xuan Phu, On a necessary optimality condition with invexity Acta Math. Vietnam. 29 (2004), 141 - 148.
16Hoang Xuan Phu, On some badly-solved problems with invexityActa Math. Vietnam. 29 (2004), 89 - 106.
17Hoang Xuan Phu, Is invexity weaker than convexity? Vietnam J. Math. 32 (2004),  87 - 94.
18Hoang Xuan Phu, Approximate fixed-point theorems for discontinuous mappings, Numer. Funct. Anal. Optim. 25 (2004), 119 - 136.
19Hoang Xuan Phu, Fixed-point properties of roughly contractive mappings, Z. Anal. Anwendungen 22 (2003), 517 - 528.
20Hoang Xuan Phu, Some geometrical properties of outer $\gamma$-convex sets, Numer. Funct. Anal. Optim. 24 (2003), 303 - 309.
21Hoang Xuan Phu, Rough convergence in infinite-dimensional normed spaces, Numer. Funct. Anal. Optim. 24 (2003), 285 - 301.
22Hoang Xuan Phu, Strictly and roughly convexlike functions, J. Optim. Theory Appl. 117 (2003), 139 - 156.
23Hoang Xuan Phu, On circumradii of sets and roughly contractive mappings, Vietnam J. Math. 31 (2003), 115  - 122.
24Hoang Xuan Phu, N.N. Hai, Piecewise constant roughly convex functions, J. Optim. Theory Appl. 117 (2003), 415 - 438.
25Hoang Xuan Phu, Orienting method for obstacle problems. Z. Anal. Anwendungen 21 (2002, 233 - 248.
26Hoang Xuan Phu, Rough continuity of linear operators, Numer. Funct. Anal. Optim. 23 (2002), 139 - 146.
27Nguyen Ngoc Hai, Hoang Xuan Phu, Boundedness of symmetrically $\gamma$-convex functions. Dedicated to Pham Huu Sach on the occasion of his sixtieth birthda,  Acta Math. Vietnam. 26 (2001), 269 - 277.
28Hoang Xuan Phu, Rough convergence in normed linear spaces, Numer. Funct. Anal. Optim. 22 (2001),  199 - 222.
29Hoang Xuan Phu, Nguyen Dong Yen, On the stability of solutions to quadratic programming problems. Math. Program. 89 (2001),  Ser.A, 385 - 394.
30J. Hichert, A. Hoffmann, Hoang Xuan Phu, R. Reinhardt, A primal-dual integral method in global optimization. Discussiones Mathematicae. Differential Inclusions, Control and Optimization 20 (2000), 257-278.
31Hoang Xuan Phu, Tran Van Truong, Invariant property of roughly contractive mappings. Vietnam J. Math. 28 (2000), 275 - 290.
32Hoang Xuan Phu, Hans Georg Bock, Sabine Pickenhain, Rough stability of solutions to nonconvex optimization problems, In "Optimization, Dynamics and Economic Analysis: Essays in Honor of Gustav Feichtinger" Editors: E. J. Dockner, R. F. Hartl, M. Luptacik, G. Sorger Springer/Physica, 2000, 22 - 35.
33Nguyen Ngoc Hai, Hoang Xuan Phu, Symmetrically $\gamma$-convex functions. Optimization 46 (1999), 1 - 23.
34Hoang Xuan Phu, Outer $\gamma$-convexity in normed linear spaces. Vietnam J. Math. 27 (1999), 323 - 334.
35Hoang Xuan Phu, Stability of generalized convex functions with respect to linear disturbances, Optimization 46 (1999), 381 - 389.
36Hoang Xuan Phu, Roughly convex functions. In: Proceeding of the Korea - Vietnam Joint Seminar "Mathematical Optimization Theory and Applications", Editors: Do Sang Kim and Pham Huu Sach, Pusan 1998, 73 - 85.
37Hoang Xuan Phu, Six kinds of roughly convex functions. J. Optim. Theory Appl. 92 (1997), 357 - 375.
38Hoang Xuan Phu, Bock, Hans Georg; Schlöder, Johannes P., The method of orienting curves and its application for manipulator trajectory planning. Numer. Funct. Anal. Optim. 18 (1997),  213 - 225.
39Hoang Xuan Phu, Convergence speed of an integral method for computing the essential supremum. In: Developments in Global Optimization, Editors: I. M. Bomze, T. Csendes, R. Horst, and P. M. Pardalos, Kluwer Academic Publishers 1997, 153 - 170.
40Hoang Xuan Phu, A Hoffmann, Essential supremum and supremum of summable functions. Numer. Funct. Anal. Optim. 17 (1996), 167 - 180.
41Hoang Xuan Phu, Nguyen Ngoc Hai, Some analytical properties of $\gamma$-convex functions on the real line. J. Optim. Theory Appl. 91 (1996), 671 - 694.
42Hoang Xuan Phu, Stable generalization of convex functions. Optimization 3 (1996), 309 - 318.
43Hoang Xuan Phu, H. G. Bock and J. Schloder, Extremal solutions of some constrained control problems. Optimization 35 (1995), 345 - 355.
44Hoang Xuan Phu, Some properties of globally $\delta$-convex functions. Optimization 35 (1995), 23 - 41.
45Hoang Xuan Phu, Nguyen Dinh, Some remarks on the method of orienting curves. Numer. Funct. Anal. Optim. 16 (1995), 755 - 763.
46Hoang Xuan Phu, $\gamma$-subdifferential and $\gamma$-convexity of functions on a normed space. J. Optim. Theory Appl. 85 (1995), No 3, 649 - 676.
47Hoang Xuan Phu, Representation of Bounded Convex Sets By Rational Convex Hull Of Its Gamma-Extreme Points. Numer. Funct. Anal. Optim. 15 (1994), No 7-8, 915 - 920.
48Hoang Xuan Phu, $\gamma$ subdifferential and $\gamma$-convexity of functions on the real line. Appl. Math. Optim. 27 (1993), 145 - 160.
49Nguyen Dinh, Hoang Xuan Phu, The method of orienting curves and its application to an optimal control problem of hydroelectric power plants, Vietnam J. Math. (Tạp chí Toán học), 20 (1992), 40 - 53.
50Nguyen Dinh, Hoang Xuan Phu, Solving a class of optimal control problems which are linear in the control variable by the method of orienting curves. Acta Math. Vietnam. 17 (1992), 115 - 134.
51Nguyen Dinh, Hoang Xuan Phu, Solving a class of regular optimal control problems with state constraints by the method of orienting curves. Optimization 25 (1992), 231 - 247.
52Hoang Xuan Phu, Investigation of a macroeconomic model by the method of region analysis, J. Optim. Theory Appl. 72 (1992), 319 - 332.
53Hoang Xuan Phu, The method of region analysis and its application for optimal control problems of hydroelectric power plants, In: Proceedings of the Fourth European Consortium for Mathematics in Industry, B. G. Teubner Stuttgart and Kluwer Academic Publishers, the Netherlands, 1991, 309 - 313.
54Hoang Xuan Phu, Method of orienting curves for solving optimal control problems with state constraints. Numer. Funct. Anal. Optim. 12 (1991), 173 - 211.
55Hoang Xuan Phu, A solution method for regular optimal control problems with state constraints. J. Optim Theory Appl. 62 (1989), 489 - 513.
56Hoang Xuan Phu, Optimal control of a hydroelectric power plant with unregulated spilling water. Systems Control Lett. 10 (1988), 131 - 139.
57Hoang Xuan Phu, Regulare aufgaben der optimalen steuerung mit linearen zustandsrestriktionen. Z. Anal. Anwendungen 7 (1988), 431 - 440.
58Hoang Xuan Phu, Investigation of some inventory problems with linear replenishment cost by the method of region analysis, In: Optimal Control Theory and Economic Analysis, Edited by G. Feichtinger, North-Holland, Amsterdam, Holland, 1988, 195 - 221.
59Hoang Xuan Phu, Linear optimal control problem of a system with circuit-free graph structure. Int. J. Control 48 (1988), 1867 - 1882.
60Hoang Xuan Phu, Solution of some high-dimensional linear optimal control problems by the method of region analysis. Int. J. Control 47 (1988), 493 - 518.
61Hoang Xuan Phu, Methode der Bereichsanalyse und Methode der Orientierungskurven zur Losung von Aufgaben Optimaler Steuerung mit Zustandsbeschrọnkungen. Habilitations-schrift, Leipzig, 1987.
62Hoang Xuan Phu, On optimal control of a hydroelectric power plant. Systems Control Lett. 8 (1987), 281 - 288.
63Hoang Xuan Phu, A method for solving a class of optimal control problems which are linear in the control variable. Systems Control Lett. 8 (1987), 273 - 280.
64Hoang Xuan Phu, Some necesssary conditions for optimality for a class of optimal control problems which are linear in the control variable. Systems Control Lett. 8 (1987), 261 - 271.
65Hoang Xuan Phu, Ein konstruktives losungsverfahren fur das problem des inpolygons kleinsten umfangs von J. Steiner. Optimization 18 (1987), 349 - 359.
66Hoang Xuan Phu, Zur Losung eines Zermeloschen Navigationsproblems. Optimization 18 (1987), 225 - 236.
67Hoang Xuan Phu, Zur Losung einer regularen Aufgabenklasse der optimalen Steuerung im Großen mittels Orientierungskurven. Optimization 18 (1987), 65 - 81.
68Hoang Xuan Phu, Zur Losung des Knickstab-Problems mit beschrankter Ausbiegung. Z. Anal. Anwendungen 6 (1987), No 4, 371 - 384.
69Hoang Xuan Phu, Einige notwendige Optimalitatsbedingungen fur einfache regulare Aufgaben der optimalen Steuerung. Z. Anal. Anwendungen 5 (1986), 465 - 475.
70Hoang Xuan Phu, Losung einer eindimensionalen regulọren Aufgaben der optimalen Steuerung mit engen Zustandsbereichen anhand der Methode der Bereichsanalyse. Optimization 16 (1985), 431 - 438.
71Hoang Xuan Phu, Lineare Steuerungsprobleme mit engen Zustandsbereichen. Optimization 16 (1985), 273 - 284.
72Hoang Xuan Phu, Zur Stetigkeit der Losung der adjungierten Gleichung bei Aufgaben der optimalen teuerung mit Zustandsbeschrọnkungen. Zeitschrift fur Analysis und ihre Anwendungen 3 (1984), 527 - 539.
73Hoang Xuan Phu, Methoden zur Losung von Aufgaben der optimalen Steuerung mit engen Zustandsbereichen. Dissertation, Universitọt Leipzig, 1983.