Numerical methods in optimization |
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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. |