Geometric programming: Difference between revisions

Revision as of 23:06, 19 November 2010

Revision as of 08:50, 16 December 2010

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: <math>h_i(x) = 1,\quad i = 1,\dots,p</math>

where <math>f_0,\dots,f_m</math> are [[polynomialsposynomials]] and <math>h_1,\dots,h_p</math> are [[monomials]]. In the context of geometric programming (unlike all other disciplines), a monomial is defined as a function <math>f:\mathbb{R}^n \to \mathbb{R}</math> with <math> \mathrm{dom} \ f = \mathbb{R}_{++}^n </math> defined as

:<math>f(x) = c x_1^{a_1} x_2^{a_2} \cdots x_n^{a_n} </math>