Finite convergence of Moment-SOS relaxations with non-real radical ideals

Understand

We consider the linear conic optimization problem with the cone of nonnegative polynomials.

• Its dual optimization problem is the generalized moment problem.
• Moment-SOS relaxations are powerful for solving them.
• This paper studies finite convergence of the Moment-SOS hierarchy when the constraining set is defined by equations whose ideal may not be real radical.