Mihai Traian DRAGOMIRESCU

 

Born 3 October 1942, Bucharest.

Education: University of Bucharest, Faculty of Mathematics-­Mechanics (1959-64); UNESCO International Postgraduale Course in Probabilily Theory, Mathematical Institute of the Hungarian Academy of Sciences, Budapest (1968-69); Ph.D. in Mathematics, Centre of Mathemalical Statistics of the Romanian Academy (1979).

Fields of research: applied mathematics, operations research, optimization, duality tIheory for optimization, convex analysis, nonconvex inequalities.

Major scientific achievements: duality theory of nonconvex optimization and nonconvex inequalities.

Professional record: lecturer, Faculty of Mathematics, Technical University of Karlsruhe (1972). Awards: Gheorghe Titeica Prize for Mathematics, Romanian Academy (1972).

Humboldt Research Fellowship (1971-73):applied mathematics (operations research), Technische Hochschule Karlsruhe, Institut für Statistik, Prof. Dr. Ulrich Dieter.

Follow-up sponsorship: short research stay in Germany (1991), 14th International Symposium on Mathematical Programming, Amsterdam (1991). Donation by Humboldt Foundation:computer.

Publications include:

 

A. Books:

 

1. Programare patratica. Introducere in programarea convexä ("Quadratic Programming. Introduction to Convex Programming"). Bucharest: Editura Stiintificä, 1968 (in collaboration).

2. Elemente de teorie a probabilitatilor si statistica matematica ("Boses of Probability Theory and Mathematical Statistics"). Bucharest: Editura C.D.LC.P., 1968.

3. Programare neliniara ("Nonlinear Programming"). Bucharest: Editura Stiintifica, 1972 (in collaboration).

 

B. Papers:

 

1. "Sur la necessite des conditions de Kuhn et Tucken" C. R. Acad. Sci. Paris, 264, 1967, pp. 1073-75.

2. "L'algorithme de min-addition et les chemins critiques dans un graph." Rev. Roumaine Math. Pures Appl., 12, No. 8, 1967.

3. "Asupra senzitivitatii in programarea liniara" ("On the Sensivity Analysis in Linear Programming"). St. cerc. mat., 20, No. 7, 1968.

4. "On the Workability of Leontief Systems." Rev. Roumaine Math. Pures Appl., 16, No.7, 1971, pp. 1017-22 (in collaboration).

5. "An Algorithm for the Minimum-Risk Problem of Stochastic Programming." Operations Research, 20, No. 1, 1972, pp. 154-64.

6. "Pseudo-Quadratic Programming." Stud. Sci. Math. Hungarica, 7, 1972, pp. 167-79.

7. "A General Duality Theory." Proc. Fifth Conference on Probability Theory, Brasov, 1974. Bucharest: Editura Academiei, 1977, pp. 375-81.

8. "Fenchel-Duality without Convexity." Proc. 3rd Colloquim on Operations Research. Cluj-Napoca, 1978, pp. 61-65.

9. "'The Ascendent Unions Separation Theorem and a Sharp Nonconvex Extension of Fenchel's Duality Theorem." Rev. Roumaine Math. Pures Appl., 24, No. 6, 1979, pp. 913-20.

10. "H-Duality." Proc. Sixth Conference on Probability Theory, Brasov, 1979. Bucharest: Editura Academiei, 1981, pp. 395-401.

11. "The Continuity of the Optimal Value of a General Linear Program." Rev. Roumaine Math. Pures Appl., 27, No. 6, 1982, pp. 663-76 (in collaboration).

12. "Extensions of Jensen's Inequality (II)." Rev. Roumaine Math. Pures Appl., 35, No. 8, 1990, pp. 669-82 (in collaboration).

13. "The Smallest Convex Extension of a Convex Function." Optimization, 24, 1992, pp. 193-206 (in collaboration).

14. "Extensions of Jensen's Ineyuality f(X1)+... f(X„)> nf((X1+..+X„)/n)." Rev. Roumaine Math. Pures Appl. 37, No. 10, 1992, pp. 847-71.

15. "Convexity-like Inequalities for Averages in a Convex Set." Aequationes Math. (Waterloo, Canada), 45, 1993, pp. 179-94 (in collaboration).

16. "Most General Linear Inequality for Convex Fundions of Real Variable" (in press).

17. "A Strom Separation Theorem with a Side-Condition." Rev. Roumaine Math. Pure Appl. (in press).

l8. "H-Conjugate Fundions (I); A Biconjugate Theorem for Quasiconvex Fundions." St. Cerc. Mat. (in press).

 

C. Translations:

 

Teoria jocurilor, by G. Owen, Bucharest: Editura Tehnica, 1974.