"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science

Numerical methods in optimization
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
MO007
8
2+2+0
10
optional
Informatică
MO007
8
2+2+0
7
optional
Matematică-Informatică
Teaching Staff in Charge
Assoc.Prof. LUPSA Liana, Ph.D., llupsa@math.ubbcluj.ro
Aims
Getting knowledges in the most important methods and techniques in solving optimization problems.
Content
Methods for determining the optimum points with no restrictions: decreasing methods, conjugated directions methods, relaxation methods, methods without the hypothesis of differentiability.
Methods to solve optimisation problems without restrictions: cutting planes method, barrier functions method, penalisation functions method, admissible directions method. Specific methods to solve fractional, hyperbolic, quadratic programming problems.
References
1. BRECKNER W. W.: Cercetare operationala. Cluj-Napoca, Universitatea "Babes-Bolyai", Fac. de Matematica, 1981.
2. BRECKNER W. W., DUCA D.: Culegere de probleme de cercetare operationala. Cluj-Napoca, Universitatea, Fac. de Matematica, 1983.
3. MARUSCIAC : Metode de rezolvare a problemelor de programare neliniara. Ed. Dacia, Cluj, 1973.
4. STANCU-MINASIAN M.: Metode numerice de rezolvare a problemelor de programare fractionara. Ed. Academiei Romane, Bucuresti, 1991.
5. ZELENY M.: Linear Multiobjective Programming, Springer Verlag, Berlin, 1974.
6. ZIDAROIU C.: Programare liniara. Editura Tehnica, Bucuresti, 1983.
Assessment
Exam.