Le Dung Muu
 


 
Department of Optimization and Control,
Institute of Mathematics
Office: Building A5 room 210
Office hours:                      or by appointment


Education
 
  • Dr. Sci., 1996
  • Ph.D.,  1986
  • B. s.,  1973

  •  
    Permanent address

    Department of Optimization and Control, 
    Institute of Mathematics, VAST 
    18 Hoang Quoc Viet Road, CauGiay District,
    10307, Hanoi, Vietnam 

    email : ldmuu@math.ac.vn


     
    Fields of Interest

    Optimization, Operations Research (nonconvex, global optimization, convex-concave,  d.c and  multilevel programming  including optimization over the efficient set, optimization with equilibrium constraint and their applications).


    Selected publications  

  • (with H. Tuy and N. V. Thoai) A modification of Scaf's  algorithm allwing restarting. Optimization  3(1978) 357-362.

  • (with H. Tuy and N. V. Thoai) Un nouvel algorithme de point fixe. C.R. Acad. Sci. Paris 286(1978) 783-786.

  • (with D. B. Khang)  Asymtotic regularity and the strong convergence of the proximal point algorithm. Acta  Mathematica Vietnamica 6(1983) 3-11. 

  •  Stability property of a class of variational inequalities. Optimization 15(1984)347-353. 

  •  A convergent algorithm for solving linear programs with an additional reverse convex constraint. Kybernetika 91(1986)  418-425.

  •  An augmented penalty function method for solving a class of  variational inequalities. Soviet Computational Mathematics  and Mathematical Physics 12 (1986) 1788-1796.

  •  (with W. Oettli ) A lagrangian penalty function method for monotone variational inequalities. Numerical Functional Analysis and Optimization 10 (1989) 1003-1017.

  •  (with W. Oettli) An algorithm for indefinite quadratic programming with convex constraints. Operations Resarch Letters 10 (1989) 323-327.

  •  (with W. Oettli) A method for minimizing a convex-concave function over a convex set. J. Optimization Theory and Applications 70 (1990) 377-384.

  •  On a Lagrangian penalty function method for convex programs.Applied Mathematics and Optimization. 25 (1992) 1-9.

  •  (with W. Oettli)  Convergence of an adaptive penalty method for monotone variational inequalities and convex optimization.Nonlinear Analysis: Theory, Methods and Applications 18(1992) 1-10.

  •  (with B.T. Tam) Minimizing the sum of a convex function and  the product of two affine fractional functions over a convex set.Optimization 24 (1992) 57-62.

  •  An algorithm for solving convex programs with an additional convex-concave constraint. Mathematical Programming 61 (1993)  75-87.

  •  (with W. Oettli) A combimed branch-and-bound and cutting plane method for solving a certain class of nonconvex optimization problems. J. of Global Optimization 3 (1993) 377-391.

  •  Convex-concave programming as a decomposition approach to global optimization. Acta Mathematica Vietnamica 18 (1993) 61-77.

  •  (with R. Horst) Branch-and-bound decomposition approach for solving quasiconvex -  concave programs. J. Optimization Theory and Applications 82 (1994) 267-293.

  •  (with B. T. Tam) Efficient methods for solving certain  bilinear programming problems. Acta Mathematica Vietnamica 19 (1994) 97-110. 

  •  (with B. T. Tam and Schaible) Efficient algorithms for  solving certain nonconvex optimization problems dealing with the product of two affine fractional functions. J. of Global Optimization 6 (1995) 179-191.

  •  (with T. Q. Phong and P. D. Tao) Decomposition methods for  solving a class of nonconvex programming problems dealing with bilinear and quadratic function.  Compuational Optimization and Applications 4(1995) 203-216.

  •  Computational aspects of optimization over the Efficient Set.Vietnam Journal of Mathematics 23(1995) 85-106.

  •  (with N. D. Dan) Parametric  simplex method for optimizing a linear function over the efficient set  of a bicriteria linear problem.  Acta Mathematica Vietnamica 21 (1996) 59-67. 

  •  (with L.T.H. An and P. D. Tao) Numerical solution for optimization over the efficient set by d.c. optimization algorithm. Operations Research  Letter 19(1996) 117-128.

  •  (with Le Tu Luc) On equivalence between convex maximization and optimization over the efficient set. Vietnam J.  of Mathematics 24(1996)  439-445.

  •  (with N. A. Tuan and P. C. Duong) An algorithm for finding a global  optimal solution of a water distribution network. Acta Mathematica Vietnamica 21(1996) 309-333.

  •  (with N.V. Tien) A relaxation algorithm for solving mixed integer programming problems. Acta Mathematica Vietnamica 22(1997) 367-378.

  •  (with Le T. Luc) Global optimization approach to optimization over the efficient set. in the Proceeding of 8th French-German Conference on Optimization,  Lecture Notes in Economics and Mathematical System 452 (1997) 213-221, Springer Verlag, Berlin.

  •  (L.T.H. An and P.D. Tao) A combined d.c. optimization-ellipsoidal branch-and-bound algorithm for solving nonconvex quadratic programming problems. J. of Combinatorial Optimization 2 (1998)  9-28.

  •  (with L.T.H. An and P. D. Tao) Exact penalty in d.c. programming. Vietnam J. of Mathematics. 27(1999)169-178.

  •  (with J. Fulop) Branch-and-bound variant of an outcome-based algorithm for optimizing over the efficient set of a bicriteria linear programming problem.  J. of Optimization Theory and Applications, 105 (2000) 37-54.

  •  (with W. Oettli) Optimization over equilibrium sets.  Optimization 49(2000) 179-189.

  •  A convex-concave programming method for optimizing over the effiient set. Acta Mathematica Vietnamica 25(2000) 67-85

  •  On the construction of initial polyhedral convex set for optimization problems over the efficient set and bilevel linear programs. Vietnam J. of Mathematics, 28(2000) 177-184.

  •  (with N. V. Quy) On penalty function method for  a class of nonconvex constrained optimization problems. Vietnam J. of Mathematics 29(2001) 235-256.

  •  (with H. Q. Tuyen) Biconvex programming approach for optimizing over the efficient set of a multiple objective affine fractional programming problem.  Operations Research Letters 28(2001)76-82

  •  (with N.T. B. Kim)  On the projection of the efficiet set and potential applications. Optimization (accepted)

  •  (with N. V. Quy)  Method for finding global optimal solution to linear programs with equilibrium constraints.  Institute of  Mathematics, preprint 38/2000. Acta Mathematica Vietnamica (accepted).

  •  (with N. V. Quy) A global optimization method for solving convex quadratic bilevel programming problems. Institute of Mathematics, preprint 24/2001. J. of Global Optimization (accepted).

  •  Introduction to Optimization Methods (in Vietnamese) Hanoi Scientific Publishers 1998


  • Current and Graduated Students

    Nguyen Van Tuan
    Hoang Quang Tuyen
    Le Tu Luc
    Nguyen Van Quy
    Le Minh Tung.


    Current Teaching

    Convex Anamysis
    Theory of Optimization
    Optimization Methods



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