Infinite non-linear programming
- 1 August 1963
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 3 (3) , 294-300
- https://doi.org/10.1017/s1446788700028329
Abstract
In recent years there has been extensive development in the theory and techniques of mathematical programming in finite spaces. It would be very useful in practice to extend this development to infinite spaces, in order to treat more realistically the problems that arise for example in economic situations involving infinitely divisible processes, and in particular problems involving time as a continuous variable. A more mathematical reason for seeking such generalisation is possibly that of obtaining a unification mathematical programming with other branches of mathematics concerned with extrema, such as the calculus of variations.Keywords
This publication has 3 references indexed in Scilit:
- A duality theorem for non-linear programmingQuarterly of Applied Mathematics, 1961
- A DUALITY THEOREM IN NON‐LINEAR PROGRAMMING WITH NON‐LINEAR CONSTRAINTS1Australian Journal of Statistics, 1961
- Duality in quadratic programmingQuarterly of Applied Mathematics, 1960