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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
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