| Article ID: | iaor2000494 |
| Country: | Hungary |
| Volume: | XXVII |
| Issue: | 1/2 |
| Start Page Number: | 1 |
| End Page Number: | 9 |
| Publication Date: | Jan 1996 |
| Journal: | Szigma |
| Authors: | Forg Ferenc |
| Keywords: | programming: nonlinear, history |
The paper summarizes the main contributions of Béla Martos to the development of the theory and methods of mathematical programming between 1962 and 1975. Necessary conditions for objective and constraint functions to produce ‘well-behaving’ problems and extending the power of simplex-like adjacent vertex methods to nonlinear, nonconvex problems (primarily to hyperbolic and quasiconvex quadratic programming) are the accomplishment for which Martos will always be considered as an inspirational source to the mathematical programming community. In addition to a systematic restatement of the most important results, a necessary condition for the convexity of the optimum set is proved in the spirit of Martos.