Die abhängigkeit eines qiiadratischen optimierungsproblems von einem parameter in der zielfunktloin 1
- 1 January 1974
- journal article
- research article
- Published by Taylor & Francis in Mathematische Operationsforschung und Statistik
- Vol. 5 (7-8) , 573-590
- https://doi.org/10.1080/02331887408801187
Abstract
In the present paper the dependence of a certain optimization problem on a parameter t is studied. The problem may have the form min . As opposed to earlier papers the parameter. t in the present case runs through the whole E 1 and not through the convexity interval K 0 only. The main results are a notion of stability, which is suitable for such problems, and, associated with chis notion a partition theorem for the solvability region of this problem, which a t the same time gives the dependence of the optimal set and the solution function on the parameter tKeywords
This publication has 5 references indexed in Scilit:
- On Quadratic ProgrammingManagement Science, 1971
- Eine modification der methode von theil und van de panne zur lösung einparametrischer quadratischer optimierungsproblemeMathematische Operationsforschung und Statistik, 1970
- A method for solving maximum-problems with a nonconcave quadratic objective functionProbability Theory and Related Fields, 1966
- On Sensitivity Analysis in Convex Quadratic Programming ProblemsOperations Research, 1963
- Nichtlineare ProgrammierungPublished by Springer Nature ,1962