A note on the sum of a linear and linear‐fractional function
- 1 December 1977
- journal article
- research article
- Published by Wiley in Naval Research Logistics Quarterly
- Vol. 24 (4) , 691-693
- https://doi.org/10.1002/nav.3800240416
Abstract
The sum of a linear and linear‐fractional function is investigated in terms of quasi‐convexity and quasi‐concavity. From this we obtain some insight into the nature of local optima of these functions useful in algorithms.Keywords
This publication has 8 references indexed in Scilit:
- Duality in Fractional Programming: A Unified ApproachOperations Research, 1976
- Fractional Programming. I, DualityManagement Science, 1976
- Zur Extremwertannahme und Dualität bei Optimierungsproblemen mit linearem und gebrochen linearem ZielfunktionsanteilZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1975
- Parameter-free convex equivalent and dual programs of fractional programming problemsMathematical Methods of Operations Research, 1974
- A parametric method for solving certain nonconcave maximization problemsJournal of Computer and System Sciences, 1967
- The Direct Power of Adjacent Vertex Programming MethodsManagement Science, 1965
- Programming with linear fractional functionalsNaval Research Logistics Quarterly, 1962
- Die Maximierung eines Quotienten zweier linearer Funktionen unter linearen NebenbedingungenProbability Theory and Related Fields, 1962