This article is cited in 3 papers

Mathematical Control Theory

Atomic optimization, part 2: multidimensional problems and polynomial matrix inequalities

V. V. Pozdyaev

Arzamas Polytechnical Institute of R. E. Alekseev Nizhny Novgorod State Technical University

Abstract: We investigate multidimensional optimization problems with polynomial objective function and polynomial matrix inequality constraints and suggest a transformation of the moment-theory-based solution technique. It allows reducing significantly the computational complexity while keeping the ability to solve the problems of the class under consideration.

Keywords: nonlinear programming, matrix inequalities, polynomial inequalities, moment theory.

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