-

 

 

 




Optimization Online





 

Sufficient Conditions for a Real Polynomial to be a Sum of Squares

J.B. Lasserre(lasserre***at***laas.fr)

Abstract: We provide explicit sufficient conditions for a polynomial $f$ to be a sum of squares (s.o.s.), linear in the coefficients of $f$. All conditions are simple and provide an explicit description of a convex polyhedral subcone of the cone of s.o.s. polynomials of degree at most $2d$. We also provide a simple condition to ensure that $f$ is s.o.s., possibly after adding a constant.

Keywords: Real algebraic geomery; positive polynomials; sums of squares

Category 1: Global Optimization (Theory )

Category 2: Linear, Cone and Semidefinite Programming (Linear Programming )

Category 3: Other Topics (Other )

Citation: Report #06789, LAAS, Toulouse, France. To appear in Archiv der Mathematik.

Download: [PDF]

Entry Submitted: 02/14/2007
Entry Accepted: 02/16/2007
Entry Last Modified: 02/14/2007

Modify/Update this entry


  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository

 

Submit
Update
Policies
Coordinator's Board
Classification Scheme
Credits
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Programming Society