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Infinite non-linear programming

Published online by Cambridge University Press:  09 April 2009

M. A. Hanson
Affiliation:
Department of Statistics, University of New South WalesSydney.
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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.

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Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1963