AM  Vol.2 No.3 , March 2011
On Decompositions of Real Polynomials Using Mathematical Programming Methods
Author(s) Janez Povh
ABSTRACT
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.

Cite this paper
nullJ. Povh, "On Decompositions of Real Polynomials Using Mathematical Programming Methods," Applied Mathematics, Vol. 2 No. 3, 2011, pp. 309-314. doi: 10.4236/am.2011.23036.
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