Add to ORKGThe class of POP (Polynomial Optimization Problems) covers a wide rang of optimization problems such as 0 - 1 integer linear and quadratic programs, nonconvex quadratic programs and bilinear matrix inequalities. In this paper, we review some methods on solving the unconstraint case: minimize a real-valued polynomial p(x) : Rn â R, as well the constraint case: minimize p(x) on a semialgebraic set K, i.e., a set defined by polynomial equalities and inequalities. We also summarize some questions that we are currently considering.Singapore-MIT Alliance (SMA
Minimizing a polynomial function over a region defined by polynomial inequalities models broad class...
Minimizing a polynomial function over a region defined by polynomial inequalities models broad class...
Minimizing a polynomial function over a region defined by polynomial inequalities models broad class...
Minimizing a polynomial function over a region defined by polynomial inequalities models broad class...
The goal of this thesis is to study a special nonlinear programming, namely, polynomial optimization...
In this paper, we describe a new method to compute the minimum of a real polynomial function and the...
In this paper, we describe a new method to compute the minimum of a real polynomial function and the...
In this chapter we present the moment based approach for computing all real solutions of a given sys...
We consider the problem of minimizing a polynomial over a semialgebraic set defined by polynomial eq...
In this chapter we present the moment based approach for computing all real solutions of a given sys...
We consider the problem of minimizing a polynomial over a semialgebraic set defined by polynomial eq...
We consider the problem of global minimization of rational functions on $mathbb{R}^n$ (unconstrained...
International audienceA polynomial optimization problem (POP) consists of minimizing a multivariate ...
Computing the global infimum $f^*$ of a multivariate polynomial subject to some constraints is a cen...
Minimizing a polynomial function over a region defined by polynomial inequalities models broad class...
Minimizing a polynomial function over a region defined by polynomial inequalities models broad class...
Minimizing a polynomial function over a region defined by polynomial inequalities models broad class...
Minimizing a polynomial function over a region defined by polynomial inequalities models broad class...
Minimizing a polynomial function over a region defined by polynomial inequalities models broad class...
The goal of this thesis is to study a special nonlinear programming, namely, polynomial optimization...
In this paper, we describe a new method to compute the minimum of a real polynomial function and the...
In this paper, we describe a new method to compute the minimum of a real polynomial function and the...
In this chapter we present the moment based approach for computing all real solutions of a given sys...
We consider the problem of minimizing a polynomial over a semialgebraic set defined by polynomial eq...
In this chapter we present the moment based approach for computing all real solutions of a given sys...
We consider the problem of minimizing a polynomial over a semialgebraic set defined by polynomial eq...
We consider the problem of global minimization of rational functions on $mathbb{R}^n$ (unconstrained...
International audienceA polynomial optimization problem (POP) consists of minimizing a multivariate ...
Computing the global infimum $f^*$ of a multivariate polynomial subject to some constraints is a cen...
Minimizing a polynomial function over a region defined by polynomial inequalities models broad class...
Minimizing a polynomial function over a region defined by polynomial inequalities models broad class...
Minimizing a polynomial function over a region defined by polynomial inequalities models broad class...
Minimizing a polynomial function over a region defined by polynomial inequalities models broad class...