Convexity of Products of Univariate Functions and Convexification Transformations for Geometric Programming

We investigate the characteristics that have to be possessed by a functional mapping f :ℝ ↦ ℝ so that it is suitable to be employed in a variable transformation of the type x → f ( y ) in the convexification of posynomials. We study first the bilinear product of univariate functions f 1 ( y 1 ), f 2...

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Veröffentlicht in:Journal of optimization theory and applications 2008-09, Vol.138 (3), p.407-427
Hauptverfasser: Gounaris, C. E., Floudas, C. A.
Format: Artikel
Sprache:eng
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