Add to ORKGThis paper presents a construction for symmetric, non-negative polynomials, which are not sums of squares. It explicitly generalizes the Motzkin polynomial and the Robinson polynomials to families of non-negative polynomials, which are not sums of squares. The degrees of the resulting polynomials can be chosen in advance
National audiencePositivity certificates or Positivstellensätze provide representations of polynomia...
National audiencePositivity certificates or Positivstellensätze provide representations of polynomia...
This thesis is an exposition of ideas and methods that help un- derstanding the problem of minimizin...
textabstractThis paper presents a construction for symmetric, non-negative polynomials, which are no...
Hilbert's 17th problem concerns expressing polynomials on R n as a sum of squares. It is well k...
Hilbert's 17th problem concerns expressing polynomials on Rn as a sum of squares. It is well ...
Abstract If a real polynomial f can be written as a sum of squares of real polynomials, then clearly...
To prove that a polynomial is nonnegative on Rn, one can try to show that it is a sum of squares of ...
This note investigates the gap existing between positive polynomials and sum of squares (SOS) of pol...
Decomposition of a polynomial as a Sum of squares of polynomials (SOS) is one of the classical metho...
Decomposition of a polynomial as a Sum of squares of polynomials (SOS) is one of the classical metho...
The cones of nonnegative polynomials and sums of squares arise as central objects in convex algebrai...
International audienceIt is well-known that every non-negative univariate real polynomial can be wri...
International audienceIt is well-known that every non-negative univariate real polynomial can be wri...
National audiencePositivity certificates or Positivstellensätze provide representations of polynomia...
National audiencePositivity certificates or Positivstellensätze provide representations of polynomia...
National audiencePositivity certificates or Positivstellensätze provide representations of polynomia...
This thesis is an exposition of ideas and methods that help un- derstanding the problem of minimizin...
textabstractThis paper presents a construction for symmetric, non-negative polynomials, which are no...
Hilbert's 17th problem concerns expressing polynomials on R n as a sum of squares. It is well k...
Hilbert's 17th problem concerns expressing polynomials on Rn as a sum of squares. It is well ...
Abstract If a real polynomial f can be written as a sum of squares of real polynomials, then clearly...
To prove that a polynomial is nonnegative on Rn, one can try to show that it is a sum of squares of ...
This note investigates the gap existing between positive polynomials and sum of squares (SOS) of pol...
Decomposition of a polynomial as a Sum of squares of polynomials (SOS) is one of the classical metho...
Decomposition of a polynomial as a Sum of squares of polynomials (SOS) is one of the classical metho...
The cones of nonnegative polynomials and sums of squares arise as central objects in convex algebrai...
International audienceIt is well-known that every non-negative univariate real polynomial can be wri...
International audienceIt is well-known that every non-negative univariate real polynomial can be wri...
National audiencePositivity certificates or Positivstellensätze provide representations of polynomia...
National audiencePositivity certificates or Positivstellensätze provide representations of polynomia...
National audiencePositivity certificates or Positivstellensätze provide representations of polynomia...
This thesis is an exposition of ideas and methods that help un- derstanding the problem of minimizin...