**:** . .
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**:** 36
**:**
**:** 2012
**:** . . , 1: / . 36. .: , 2012. .39-80.

** :** , , ,

** (.):** nonlinear programming, matrix inequalities, polynomial inequalities, moment theory

**:** . , . .

** (.):** Optimization problems with polynomial objective function and inequality constraints are considered. A transformation of the moment theory-based solution method is presented, which allows to construct equivalent solution algorithms working in the augmented original search space instead of the moment space. One-dimensional problems are analyzed in detail.

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