%0 Journal Article
%T On Decompositions of Real Polynomials Using Mathematical Programming Methods
%A Janez Povh
%J Applied Mathematics
%P 309-314
%@ 2152-7393
%D 2011
%I Scientific Research Publishing
%R 10.4236/am.2011.23036
%X We present a procedure that gives us an SOS (sum of squares) decomposition of a given real polynomial in   variables, if there exists such decomposition. For the case of real polynomials in   non-commutative variables we extend this procedure to obtain a sum of hermitian squares SOHS) decomposition whenever there exists any. This extended procedure is the main scientific contribution of the paper.
%K Commutative Polynomial
%K Noncommutative Polynomial
%K Sum Of Squares
%K Semidefinite Programming
%K Newton Polytope
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=4392