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Journals ACM SIGMAP Bulletin Issue 19

One-dimensional problems arise in both primal and dual signomial programs. Primal problems are of interest since many multidimensional search procedures involve one-dimensional searches. Dual problems occur naturally since many engineering design problems can be expressed as signomial programs with a single degree of difficulty. This paper applies an interval arithmetic version of Newton's method to one-dimensional unconstrained problems in signomial programming. The interval arithmetic method is guaranteed to generate all the stationary points.

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One-dimensional problems in unconstrained signomial programming: an interval arithmetic approach

Mancini, Louis J.
ACM SIGMAP Bulletin , Volume (19)
Association for Computing Machinery – Aug 1, 1975

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