Noncommutative Polynomial Optimization
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optimizationpolynomialapproachnoncommutativesquaressumsalgebraicarising
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In this chapter we present the sums of Hermitian squares approach to noncommutative polynomial optimization problems. This is an extension of the sums of squares approach for polynomial optimization arising from real algebraic geometry. We provide a gentle introduction to the underlying theory of this methodology and highlight its importance.
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